---
_id: '15275'
abstract:
- lang: eng
  text: In 1916, Schur introduced the Ramsey number r(3; m), which is the minimum
    integer n > 1 such that for any m-coloring of the edges of the complete graph
    Kn, there is a monochromatic copy of K3. He showed that r(3; m) ≤ O(m!), and a
    simple construction demonstrates that r(3; m) ≥ 2Ω(m). An old conjecture of Erdős
    states that r(3; m) = 2Θ(m). In this note, we prove the conjecture for m-colorings
    with bounded VC-dimension, that is, for m-colorings with the property that the
    set system induced by the neighborhoods of the vertices with respect to each color
    class has bounded VC-dimension.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Jacob
  full_name: Fox, Jacob
  last_name: Fox
- first_name: János
  full_name: Pach, János
  id: E62E3130-B088-11EA-B919-BF823C25FEA4
  last_name: Pach
- first_name: Andrew
  full_name: Suk, Andrew
  last_name: Suk
citation:
  ama: Fox J, Pach J, Suk A. Bounded VC-dimension implies the Schur-Erdős conjecture.
    <i>Combinatorica</i>. 2021;41(6):803-813. doi:<a href="https://doi.org/10.1007/s00493-021-4530-9">10.1007/s00493-021-4530-9</a>
  apa: Fox, J., Pach, J., &#38; Suk, A. (2021). Bounded VC-dimension implies the Schur-Erdős
    conjecture. <i>Combinatorica</i>. Springer Nature. <a href="https://doi.org/10.1007/s00493-021-4530-9">https://doi.org/10.1007/s00493-021-4530-9</a>
  chicago: Fox, Jacob, János Pach, and Andrew Suk. “Bounded VC-Dimension Implies the
    Schur-Erdős Conjecture.” <i>Combinatorica</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s00493-021-4530-9">https://doi.org/10.1007/s00493-021-4530-9</a>.
  ieee: J. Fox, J. Pach, and A. Suk, “Bounded VC-dimension implies the Schur-Erdős
    conjecture,” <i>Combinatorica</i>, vol. 41, no. 6. Springer Nature, pp. 803–813,
    2021.
  ista: Fox J, Pach J, Suk A. 2021. Bounded VC-dimension implies the Schur-Erdős conjecture.
    Combinatorica. 41(6), 803–813.
  mla: Fox, Jacob, et al. “Bounded VC-Dimension Implies the Schur-Erdős Conjecture.”
    <i>Combinatorica</i>, vol. 41, no. 6, Springer Nature, 2021, pp. 803–13, doi:<a
    href="https://doi.org/10.1007/s00493-021-4530-9">10.1007/s00493-021-4530-9</a>.
  short: J. Fox, J. Pach, A. Suk, Combinatorica 41 (2021) 803–813.
date_created: 2024-04-03T07:59:57Z
date_published: 2021-11-20T00:00:00Z
date_updated: 2024-04-09T10:40:08Z
day: '20'
department:
- _id: HeEd
doi: 10.1007/s00493-021-4530-9
external_id:
  arxiv:
  - '1912.02342'
intvolume: '        41'
issue: '6'
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1912.02342
month: '11'
oa: 1
oa_version: Preprint
page: 803-813
publication: Combinatorica
publication_identifier:
  eissn:
  - 1439-6912
  issn:
  - 0209-9683
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Bounded VC-dimension implies the Schur-Erdős conjecture
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 41
year: '2021'
...
---
_id: '15276'
abstract:
- lang: eng
  text: Biotrophic plant pathogens secrete effector proteins to manipulate the host
    physiology. Effectors suppress defenses and induce an environment favorable to
    disease development. Sequence-based prediction of effector function is impeded
    by their rapid evolution rate. In the maize pathogen <jats:italic>Ustilago maydis</jats:italic>,
    effector-coding genes frequently organize in clusters. Here we describe the functional
    characterization of the <jats:italic>pleiades</jats:italic>, a cluster of ten
    effector genes, by analyzing the micro- and macroscopic phenotype of the cluster
    deletion and expressing these proteins <jats:italic>in planta</jats:italic>. Deletion
    of the <jats:italic>pleiades</jats:italic> leads to strongly impaired virulence
    and accumulation of reactive oxygen species (ROS) in infected tissue. Eight of
    the Pleiades suppress the production of ROS upon perception of pathogen associated
    molecular patterns (PAMPs). Although functionally redundant, the Pleiades target
    different host components. The paralogs Taygeta1 and Merope1 suppress ROS production
    in either the cytoplasm or nucleus, respectively. Merope1 targets and promotes
    the auto-ubiquitination activity of RFI2, a conserved family of E3 ligases that
    regulates the production of PAMP-triggered ROS burst in plants.
article_number: e1009641
article_processing_charge: Yes
article_type: original
author:
- first_name: Fernando
  full_name: Navarrete, Fernando
  last_name: Navarrete
- first_name: Nenad
  full_name: Grujic, Nenad
  last_name: Grujic
- first_name: Alexandra
  full_name: Stirnberg, Alexandra
  last_name: Stirnberg
- first_name: Indira
  full_name: Saado, Indira
  last_name: Saado
- first_name: David
  full_name: Aleksza, David
  last_name: Aleksza
- first_name: Michelle C
  full_name: Gallei, Michelle C
  id: 35A03822-F248-11E8-B48F-1D18A9856A87
  last_name: Gallei
  orcid: 0000-0003-1286-7368
- first_name: Hazem
  full_name: Adi, Hazem
  last_name: Adi
- first_name: André
  full_name: Alcântara, André
  last_name: Alcântara
- first_name: Mamoona
  full_name: Khan, Mamoona
  last_name: Khan
- first_name: Janos
  full_name: Bindics, Janos
  last_name: Bindics
- first_name: Marco
  full_name: Trujillo, Marco
  last_name: Trujillo
- first_name: Armin
  full_name: Djamei, Armin
  last_name: Djamei
citation:
  ama: Navarrete F, Grujic N, Stirnberg A, et al. The Pleiades are a cluster of fungal
    effectors that inhibit host defenses. <i>PLOS Pathogens</i>. 2021;17(6). doi:<a
    href="https://doi.org/10.1371/journal.ppat.1009641">10.1371/journal.ppat.1009641</a>
  apa: Navarrete, F., Grujic, N., Stirnberg, A., Saado, I., Aleksza, D., Gallei, M.
    C., … Djamei, A. (2021). The Pleiades are a cluster of fungal effectors that inhibit
    host defenses. <i>PLOS Pathogens</i>. Public Library of Science. <a href="https://doi.org/10.1371/journal.ppat.1009641">https://doi.org/10.1371/journal.ppat.1009641</a>
  chicago: Navarrete, Fernando, Nenad Grujic, Alexandra Stirnberg, Indira Saado, David
    Aleksza, Michelle C Gallei, Hazem Adi, et al. “The Pleiades Are a Cluster of Fungal
    Effectors That Inhibit Host Defenses.” <i>PLOS Pathogens</i>. Public Library of
    Science, 2021. <a href="https://doi.org/10.1371/journal.ppat.1009641">https://doi.org/10.1371/journal.ppat.1009641</a>.
  ieee: F. Navarrete <i>et al.</i>, “The Pleiades are a cluster of fungal effectors
    that inhibit host defenses,” <i>PLOS Pathogens</i>, vol. 17, no. 6. Public Library
    of Science, 2021.
  ista: Navarrete F, Grujic N, Stirnberg A, Saado I, Aleksza D, Gallei MC, Adi H,
    Alcântara A, Khan M, Bindics J, Trujillo M, Djamei A. 2021. The Pleiades are a
    cluster of fungal effectors that inhibit host defenses. PLOS Pathogens. 17(6),
    e1009641.
  mla: Navarrete, Fernando, et al. “The Pleiades Are a Cluster of Fungal Effectors
    That Inhibit Host Defenses.” <i>PLOS Pathogens</i>, vol. 17, no. 6, e1009641,
    Public Library of Science, 2021, doi:<a href="https://doi.org/10.1371/journal.ppat.1009641">10.1371/journal.ppat.1009641</a>.
  short: F. Navarrete, N. Grujic, A. Stirnberg, I. Saado, D. Aleksza, M.C. Gallei,
    H. Adi, A. Alcântara, M. Khan, J. Bindics, M. Trujillo, A. Djamei, PLOS Pathogens
    17 (2021).
date_created: 2024-04-03T08:00:34Z
date_published: 2021-06-24T00:00:00Z
date_updated: 2024-04-09T10:26:12Z
day: '24'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1371/journal.ppat.1009641
external_id:
  pmid:
  - '34166468'
file:
- access_level: open_access
  checksum: ab8428291a0c14607c4ea5656c029cff
  content_type: application/pdf
  creator: dernst
  date_created: 2024-04-09T10:24:43Z
  date_updated: 2024-04-09T10:24:43Z
  file_id: '15305'
  file_name: 2021_PlosPathogens_Navarrete.pdf
  file_size: 2616563
  relation: main_file
  success: 1
file_date_updated: 2024-04-09T10:24:43Z
has_accepted_license: '1'
intvolume: '        17'
issue: '6'
keyword:
- Virology
- Genetics
- Molecular Biology
- Immunology
- Microbiology
- Parasitology
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
pmid: 1
publication: PLOS Pathogens
publication_identifier:
  issn:
  - 1553-7374
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
status: public
title: The Pleiades are a cluster of fungal effectors that inhibit host defenses
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2021'
...
---
_id: '15277'
abstract:
- lang: eng
  text: Alternative splicing generates multiple transcript and protein isoforms from
    a single gene and controls transcript intracellular localization and stability
    by coupling to mRNA export and nonsense-mediated mRNA decay (NMD). RNA interference
    (RNAi) is a potent mechanism to modulate gene expression. However, its interactions
    with alternative splicing are poorly understood. We used artificial microRNAs
    (amiRNAs, also termed shRNAmiR) to knockdown all splice variants of selected target
    genes in Arabidopsis thaliana. We found that splice variants, which vary by their
    protein-coding capacity, subcellular localization and sensitivity to NMD, are
    affected differentially by an amiRNA, although all of them contain the target
    site. Particular transcript isoforms escape amiRNA-mediated degradation due to
    their nuclear localization. The nuclear and NMD-sensitive isoforms mask RNAi action
    in alternatively spliced genes. Interestingly, Arabidopsis SPL genes, which undergo
    alternative splicing and are targets of miR156, are regulated in the same manner.
    Moreover, similar results were obtained in mammalian cells using siRNAs, indicating
    cross-kingdom conservation of these interactions among RNAi and splicing isoforms.
    Furthermore, we report that amiRNA can trigger artificial alternative splicing,
    thus expanding the RNAi functional repertoire. Our findings unveil novel interactions
    between different post-transcriptional processes in defining transcript fates
    and regulating gene expression.
article_processing_charge: No
article_type: original
author:
- first_name: Armin
  full_name: Fuchs, Armin
  last_name: Fuchs
- first_name: Stefan
  full_name: Riegler, Stefan
  last_name: Riegler
- first_name: Zahra
  full_name: Ayatollahi, Zahra
  last_name: Ayatollahi
- first_name: Nicola
  full_name: Cavallari, Nicola
  id: 457160E6-F248-11E8-B48F-1D18A9856A87
  last_name: Cavallari
- first_name: Luciana E
  full_name: Giono, Luciana E
  last_name: Giono
- first_name: Barbara A
  full_name: Nimeth, Barbara A
  last_name: Nimeth
- first_name: Krishna V
  full_name: Mutanwad, Krishna V
  last_name: Mutanwad
- first_name: Alois
  full_name: Schweighofer, Alois
  last_name: Schweighofer
- first_name: Doris
  full_name: Lucyshyn, Doris
  last_name: Lucyshyn
- first_name: Andrea
  full_name: Barta, Andrea
  last_name: Barta
- first_name: Ezequiel
  full_name: Petrillo, Ezequiel
  last_name: Petrillo
- first_name: Maria
  full_name: Kalyna, Maria
  last_name: Kalyna
citation:
  ama: 'Fuchs A, Riegler S, Ayatollahi Z, et al. Targeting alternative splicing by
    RNAi: From the differential impact on splice variants to triggering artificial
    pre-mRNA splicing. <i>Nucleic Acids Research</i>. 2021;49(2):1133-1151. doi:<a
    href="https://doi.org/10.1093/nar/gkaa1260">10.1093/nar/gkaa1260</a>'
  apa: 'Fuchs, A., Riegler, S., Ayatollahi, Z., Cavallari, N., Giono, L. E., Nimeth,
    B. A., … Kalyna, M. (2021). Targeting alternative splicing by RNAi: From the differential
    impact on splice variants to triggering artificial pre-mRNA splicing. <i>Nucleic
    Acids Research</i>. Oxford University Press. <a href="https://doi.org/10.1093/nar/gkaa1260">https://doi.org/10.1093/nar/gkaa1260</a>'
  chicago: 'Fuchs, Armin, Stefan Riegler, Zahra Ayatollahi, Nicola Cavallari, Luciana
    E Giono, Barbara A Nimeth, Krishna V Mutanwad, et al. “Targeting Alternative Splicing
    by RNAi: From the Differential Impact on Splice Variants to Triggering Artificial
    Pre-MRNA Splicing.” <i>Nucleic Acids Research</i>. Oxford University Press, 2021.
    <a href="https://doi.org/10.1093/nar/gkaa1260">https://doi.org/10.1093/nar/gkaa1260</a>.'
  ieee: 'A. Fuchs <i>et al.</i>, “Targeting alternative splicing by RNAi: From the
    differential impact on splice variants to triggering artificial pre-mRNA splicing,”
    <i>Nucleic Acids Research</i>, vol. 49, no. 2. Oxford University Press, pp. 1133–1151,
    2021.'
  ista: 'Fuchs A, Riegler S, Ayatollahi Z, Cavallari N, Giono LE, Nimeth BA, Mutanwad
    KV, Schweighofer A, Lucyshyn D, Barta A, Petrillo E, Kalyna M. 2021. Targeting
    alternative splicing by RNAi: From the differential impact on splice variants
    to triggering artificial pre-mRNA splicing. Nucleic Acids Research. 49(2), 1133–1151.'
  mla: 'Fuchs, Armin, et al. “Targeting Alternative Splicing by RNAi: From the Differential
    Impact on Splice Variants to Triggering Artificial Pre-MRNA Splicing.” <i>Nucleic
    Acids Research</i>, vol. 49, no. 2, Oxford University Press, 2021, pp. 1133–51,
    doi:<a href="https://doi.org/10.1093/nar/gkaa1260">10.1093/nar/gkaa1260</a>.'
  short: A. Fuchs, S. Riegler, Z. Ayatollahi, N. Cavallari, L.E. Giono, B.A. Nimeth,
    K.V. Mutanwad, A. Schweighofer, D. Lucyshyn, A. Barta, E. Petrillo, M. Kalyna,
    Nucleic Acids Research 49 (2021) 1133–1151.
date_created: 2024-04-03T08:02:09Z
date_published: 2021-01-25T00:00:00Z
date_updated: 2024-04-09T10:16:40Z
day: '25'
ddc:
- '570'
department:
- _id: EvBe
doi: 10.1093/nar/gkaa1260
external_id:
  pmid:
  - '33406240'
file:
- access_level: open_access
  checksum: d3c90660759a5d34ad43ba1def130462
  content_type: application/pdf
  creator: dernst
  date_created: 2024-04-09T10:14:39Z
  date_updated: 2024-04-09T10:14:39Z
  file_id: '15304'
  file_name: 2021_NucleicAcidsRes_Fuchs.pdf
  file_size: 6539791
  relation: main_file
  success: 1
file_date_updated: 2024-04-09T10:14:39Z
has_accepted_license: '1'
intvolume: '        49'
issue: '2'
keyword:
- Genetics
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 1133-1151
pmid: 1
publication: Nucleic Acids Research
publication_identifier:
  eissn:
  - 1362-4962
  issn:
  - 0305-1048
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
status: public
title: 'Targeting alternative splicing by RNAi: From the differential impact on splice
  variants to triggering artificial pre-mRNA splicing'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 49
year: '2021'
...
---
_id: '15278'
abstract:
- lang: eng
  text: ‘Dysbiosis’ of the adult gut microbiota, in response to challenges such as
    infection, altered diet, stress, and antibiotics treatment has been recently linked
    to pathological alteration of brain function and behavior. Moreover, gut microbiota
    composition constantly controls microglia maturation, as revealed by morphological
    observations and gene expression analysis. However, it is unclear whether microglia
    functional properties and crosstalk with neurons, known to shape and modulate
    synaptic development and function, are influenced by the gut microbiota. Here,
    we investigated how antibiotic-mediated alteration of the gut microbiota influences
    microglial and neuronal functions in adult mice hippocampus. Hippocampal microglia
    from adult mice treated with oral antibiotics exhibited increased microglia density,
    altered basal patrolling activity, and impaired process rearrangement in response
    to damage. Patch clamp recordings at CA3-CA1 synapses revealed that antibiotics
    treatment alters neuronal functions, reducing spontaneous postsynaptic glutamatergic
    currents and decreasing synaptic connectivity, without reducing dendritic spines
    density. Antibiotics treatment was unable to modulate synaptic function in CX3CR1-deficient
    mice, pointing to an involvement of microglia–neuron crosstalk through the CX3CL1/CX3CR1
    axis in the effect of dysbiosis on neuronal functions. Together, our findings
    show that antibiotic alteration of gut microbiota impairs synaptic efficacy, suggesting
    that CX3CL1/CX3CR1 signaling supporting microglia is a major player in in the
    gut–brain axis, and in particular in the gut microbiota-to-neuron communication
    pathway.
article_number: '2648'
article_processing_charge: Yes
article_type: original
author:
- first_name: Federica
  full_name: Cordella, Federica
  last_name: Cordella
- first_name: Caterina
  full_name: Sanchini, Caterina
  last_name: Sanchini
- first_name: Maria
  full_name: Rosito, Maria
  last_name: Rosito
- first_name: Laura
  full_name: Ferrucci, Laura
  last_name: Ferrucci
- first_name: Natalia
  full_name: Pediconi, Natalia
  last_name: Pediconi
- first_name: Barbara
  full_name: Cortese, Barbara
  last_name: Cortese
- first_name: Francesca
  full_name: Guerrieri, Francesca
  last_name: Guerrieri
- first_name: Giuseppe Rubens
  full_name: Pascucci, Giuseppe Rubens
  last_name: Pascucci
- first_name: Fabrizio
  full_name: Antonangeli, Fabrizio
  last_name: Antonangeli
- first_name: Giovanna
  full_name: Peruzzi, Giovanna
  last_name: Peruzzi
- first_name: Maria
  full_name: Giubettini, Maria
  last_name: Giubettini
- first_name: Bernadette
  full_name: Basilico, Bernadette
  id: 36035796-5ACA-11E9-A75E-7AF2E5697425
  last_name: Basilico
  orcid: 0000-0003-1843-3173
- first_name: Francesca
  full_name: Pagani, Francesca
  last_name: Pagani
- first_name: Alfonso
  full_name: Grimaldi, Alfonso
  last_name: Grimaldi
- first_name: Giuseppina
  full_name: D’Alessandro, Giuseppina
  last_name: D’Alessandro
- first_name: Cristina
  full_name: Limatola, Cristina
  last_name: Limatola
- first_name: Davide
  full_name: Ragozzino, Davide
  last_name: Ragozzino
- first_name: Silvia
  full_name: Di Angelantonio, Silvia
  last_name: Di Angelantonio
citation:
  ama: Cordella F, Sanchini C, Rosito M, et al. Antibiotics treatment modulates microglia–synapses
    interaction. <i>Cells</i>. 2021;10(10). doi:<a href="https://doi.org/10.3390/cells10102648">10.3390/cells10102648</a>
  apa: Cordella, F., Sanchini, C., Rosito, M., Ferrucci, L., Pediconi, N., Cortese,
    B., … Di Angelantonio, S. (2021). Antibiotics treatment modulates microglia–synapses
    interaction. <i>Cells</i>. MDPI. <a href="https://doi.org/10.3390/cells10102648">https://doi.org/10.3390/cells10102648</a>
  chicago: Cordella, Federica, Caterina Sanchini, Maria Rosito, Laura Ferrucci, Natalia
    Pediconi, Barbara Cortese, Francesca Guerrieri, et al. “Antibiotics Treatment
    Modulates Microglia–Synapses Interaction.” <i>Cells</i>. MDPI, 2021. <a href="https://doi.org/10.3390/cells10102648">https://doi.org/10.3390/cells10102648</a>.
  ieee: F. Cordella <i>et al.</i>, “Antibiotics treatment modulates microglia–synapses
    interaction,” <i>Cells</i>, vol. 10, no. 10. MDPI, 2021.
  ista: Cordella F, Sanchini C, Rosito M, Ferrucci L, Pediconi N, Cortese B, Guerrieri
    F, Pascucci GR, Antonangeli F, Peruzzi G, Giubettini M, Basilico B, Pagani F,
    Grimaldi A, D’Alessandro G, Limatola C, Ragozzino D, Di Angelantonio S. 2021.
    Antibiotics treatment modulates microglia–synapses interaction. Cells. 10(10),
    2648.
  mla: Cordella, Federica, et al. “Antibiotics Treatment Modulates Microglia–Synapses
    Interaction.” <i>Cells</i>, vol. 10, no. 10, 2648, MDPI, 2021, doi:<a href="https://doi.org/10.3390/cells10102648">10.3390/cells10102648</a>.
  short: F. Cordella, C. Sanchini, M. Rosito, L. Ferrucci, N. Pediconi, B. Cortese,
    F. Guerrieri, G.R. Pascucci, F. Antonangeli, G. Peruzzi, M. Giubettini, B. Basilico,
    F. Pagani, A. Grimaldi, G. D’Alessandro, C. Limatola, D. Ragozzino, S. Di Angelantonio,
    Cells 10 (2021).
date_created: 2024-04-03T08:02:52Z
date_published: 2021-10-04T00:00:00Z
date_updated: 2024-04-09T08:53:23Z
day: '04'
ddc:
- '610'
department:
- _id: GaNo
doi: 10.3390/cells10102648
external_id:
  pmid:
  - '34685628'
file:
- access_level: open_access
  checksum: 1a3b251ce82e2b9474b852d2abe5bb03
  content_type: application/pdf
  creator: dernst
  date_created: 2024-04-09T08:51:22Z
  date_updated: 2024-04-09T08:51:22Z
  file_id: '15303'
  file_name: 2021_Cells_Cordella.pdf
  file_size: 2196672
  relation: main_file
  success: 1
file_date_updated: 2024-04-09T08:51:22Z
has_accepted_license: '1'
intvolume: '        10'
issue: '10'
keyword:
- General Medicine
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
pmid: 1
publication: Cells
publication_identifier:
  issn:
  - 2073-4409
publication_status: published
publisher: MDPI
quality_controlled: '1'
status: public
title: Antibiotics treatment modulates microglia–synapses interaction
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10
year: '2021'
...
---
_id: '15279'
abstract:
- lang: eng
  text: We formulate and prove an analog of Poonen’s finite-field Bertini theorem
    with Taylor conditions that holds in the Grothendieck ring of varieties. This
    gives a broad generalization of the work of Vakil and Wood, who treated the case
    of smooth hypersurface sections, and is made possible by the use of motivic Euler
    products to write down candidate motivic probabilities. As applications, we give
    motivic analogs of many results in arithmetic statistics that have been proven
    using Poonen’s sieve, including work of Bucur and Kedlaya on complete intersections
    and Erman and Wood on semiample Bertini theorems.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Margaret
  full_name: Bilu, Margaret
  id: 98C47862-10D5-11EA-BEDD-0F6F3DDC885E
  last_name: Bilu
- first_name: Sean
  full_name: Howe, Sean
  last_name: Howe
citation:
  ama: Bilu M, Howe S. Motivic Euler products in motivic statistics. <i>Algebra &#38;
    Number Theory</i>. 2021;15(9):2195-2259. doi:<a href="https://doi.org/10.2140/ant.2021.15.2195">10.2140/ant.2021.15.2195</a>
  apa: Bilu, M., &#38; Howe, S. (2021). Motivic Euler products in motivic statistics.
    <i>Algebra &#38; Number Theory</i>. Mathematical Sciences Publishers. <a href="https://doi.org/10.2140/ant.2021.15.2195">https://doi.org/10.2140/ant.2021.15.2195</a>
  chicago: Bilu, Margaret, and Sean Howe. “Motivic Euler Products in Motivic Statistics.”
    <i>Algebra &#38; Number Theory</i>. Mathematical Sciences Publishers, 2021. <a
    href="https://doi.org/10.2140/ant.2021.15.2195">https://doi.org/10.2140/ant.2021.15.2195</a>.
  ieee: M. Bilu and S. Howe, “Motivic Euler products in motivic statistics,” <i>Algebra
    &#38; Number Theory</i>, vol. 15, no. 9. Mathematical Sciences Publishers, pp.
    2195–2259, 2021.
  ista: Bilu M, Howe S. 2021. Motivic Euler products in motivic statistics. Algebra
    &#38; Number Theory. 15(9), 2195–2259.
  mla: Bilu, Margaret, and Sean Howe. “Motivic Euler Products in Motivic Statistics.”
    <i>Algebra &#38; Number Theory</i>, vol. 15, no. 9, Mathematical Sciences Publishers,
    2021, pp. 2195–259, doi:<a href="https://doi.org/10.2140/ant.2021.15.2195">10.2140/ant.2021.15.2195</a>.
  short: M. Bilu, S. Howe, Algebra &#38; Number Theory 15 (2021) 2195–2259.
corr_author: '1'
date_created: 2024-04-03T08:12:59Z
date_published: 2021-12-23T00:00:00Z
date_updated: 2024-10-21T06:02:15Z
day: '23'
department:
- _id: TiBr
doi: 10.2140/ant.2021.15.2195
external_id:
  arxiv:
  - '1910.05207'
intvolume: '        15'
issue: '9'
keyword:
- Algebra and Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1910.05207
month: '12'
oa: 1
oa_version: Preprint
page: 2195-2259
publication: Algebra & Number Theory
publication_identifier:
  eissn:
  - 1944-7833
  issn:
  - 1937-0652
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Motivic Euler products in motivic statistics
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2021'
...
---
_id: '15283'
article_processing_charge: No
article_type: original
author:
- first_name: William
  full_name: Nicolas, William
  last_name: Nicolas
- first_name: Florian
  full_name: Fäßler, Florian
  id: 404F5528-F248-11E8-B48F-1D18A9856A87
  last_name: Fäßler
  orcid: 0000-0001-7149-769X
- first_name: Elliot
  full_name: Meyerowitz, Elliot
  last_name: Meyerowitz
- first_name: Grant
  full_name: Jensen, Grant
  last_name: Jensen
citation:
  ama: Nicolas W, Fäßler F, Meyerowitz E, Jensen G. Peaking into the plant cell wall
    using cryo-FIB milling and electron cryo-tomography. <i>Microscopy and Microanalysis</i>.
    2021;27(S1):3024-3026. doi:<a href="https://doi.org/10.1017/s1431927621010503">10.1017/s1431927621010503</a>
  apa: Nicolas, W., Fäßler, F., Meyerowitz, E., &#38; Jensen, G. (2021). Peaking into
    the plant cell wall using cryo-FIB milling and electron cryo-tomography. <i>Microscopy
    and Microanalysis</i>. Oxford University Press. <a href="https://doi.org/10.1017/s1431927621010503">https://doi.org/10.1017/s1431927621010503</a>
  chicago: Nicolas, William, Florian Fäßler, Elliot Meyerowitz, and Grant Jensen.
    “Peaking into the Plant Cell Wall Using Cryo-FIB Milling and Electron Cryo-Tomography.”
    <i>Microscopy and Microanalysis</i>. Oxford University Press, 2021. <a href="https://doi.org/10.1017/s1431927621010503">https://doi.org/10.1017/s1431927621010503</a>.
  ieee: W. Nicolas, F. Fäßler, E. Meyerowitz, and G. Jensen, “Peaking into the plant
    cell wall using cryo-FIB milling and electron cryo-tomography,” <i>Microscopy
    and Microanalysis</i>, vol. 27, no. S1. Oxford University Press, pp. 3024–3026,
    2021.
  ista: Nicolas W, Fäßler F, Meyerowitz E, Jensen G. 2021. Peaking into the plant
    cell wall using cryo-FIB milling and electron cryo-tomography. Microscopy and
    Microanalysis. 27(S1), 3024–3026.
  mla: Nicolas, William, et al. “Peaking into the Plant Cell Wall Using Cryo-FIB Milling
    and Electron Cryo-Tomography.” <i>Microscopy and Microanalysis</i>, vol. 27, no.
    S1, Oxford University Press, 2021, pp. 3024–26, doi:<a href="https://doi.org/10.1017/s1431927621010503">10.1017/s1431927621010503</a>.
  short: W. Nicolas, F. Fäßler, E. Meyerowitz, G. Jensen, Microscopy and Microanalysis
    27 (2021) 3024–3026.
date_created: 2024-04-03T08:57:23Z
date_published: 2021-08-01T00:00:00Z
date_updated: 2024-04-09T07:55:56Z
day: '01'
department:
- _id: FlSc
doi: 10.1017/s1431927621010503
intvolume: '        27'
issue: S1
keyword:
- Instrumentation
language:
- iso: eng
month: '08'
oa_version: None
page: 3024-3026
publication: Microscopy and Microanalysis
publication_identifier:
  eissn:
  - 1435-8115
  issn:
  - 1431-9276
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
status: public
title: Peaking into the plant cell wall using cryo-FIB milling and electron cryo-tomography
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 27
year: '2021'
...
---
_id: '15284'
abstract:
- lang: eng
  text: "RevTerm is a static analysis tool for proving non-termination of integer
    C programs (possibly with non-determinism). RevTerm is an implementation of our
    method for non-termination proving presented in the paper “Proving Non-termination
    by Program Reversal”.\r\n\r\n"
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Ehsan Kafshdar
  full_name: Goharshady, Ehsan Kafshdar
  last_name: Goharshady
- first_name: Petr
  full_name: Novotný, Petr
  id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
  last_name: Novotný
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
citation:
  ama: Chatterjee K, Goharshady EK, Novotný P, Zikelic D. RevTerm. 2021. doi:<a href="https://doi.org/10.1145/3410304">10.1145/3410304</a>
  apa: Chatterjee, K., Goharshady, E. K., Novotný, P., &#38; Zikelic, D. (2021). RevTerm.
    Association for Computing Machinery. <a href="https://doi.org/10.1145/3410304">https://doi.org/10.1145/3410304</a>
  chicago: Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, and Dorde
    Zikelic. “RevTerm.” Association for Computing Machinery, 2021. <a href="https://doi.org/10.1145/3410304">https://doi.org/10.1145/3410304</a>.
  ieee: K. Chatterjee, E. K. Goharshady, P. Novotný, and D. Zikelic, “RevTerm.” Association
    for Computing Machinery, 2021.
  ista: Chatterjee K, Goharshady EK, Novotný P, Zikelic D. 2021. RevTerm, Association
    for Computing Machinery, <a href="https://doi.org/10.1145/3410304">10.1145/3410304</a>.
  mla: Chatterjee, Krishnendu, et al. <i>RevTerm</i>. Association for Computing Machinery,
    2021, doi:<a href="https://doi.org/10.1145/3410304">10.1145/3410304</a>.
  short: K. Chatterjee, E.K. Goharshady, P. Novotný, D. Zikelic, (2021).
corr_author: '1'
date_created: 2024-04-03T09:00:42Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2025-04-15T06:25:30Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3410304
has_accepted_license: '1'
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1145/3410304
month: '06'
oa: 1
oa_version: Published Version
publisher: Association for Computing Machinery
related_material:
  record:
  - id: '9644'
    relation: used_in_publication
    status: public
status: public
title: RevTerm
type: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '15285'
abstract:
- lang: eng
  text: Ever since the first publication of the standard communication protocol for
    computer-assisted electrocardiography (SCP-ECG), prENV 1064, in 1993, by the European
    Committee for Standardization (CEN), SCP-ECG has become a leading example in health
    informatics, enabling open, secure, and well-documented digital data exchange
    at a low cost, for quick and efficient cardiovascular disease detection and management.
    Based on the experiences gained, since the 1970s, in computerized electrocardiology,
    and on the results achieved by the pioneering, international cooperative research
    on common standards for quantitative electrocardiography (CSE), SCP-ECG was designed,
    from the beginning, to empower personalized medicine, thanks to serial ECG analysis.
    The fundamental concept behind SCP-ECG is to convey the necessary information
    for ECG re-analysis, serial comparison, and interpretation, and to structure the
    ECG data and metadata in sections that are mostly optional in order to fit all
    use cases. SCP-ECG is open to the storage of the ECG signal and ECG measurement
    data, whatever the ECG recording modality or computation method, and can store
    the over-reading trails and ECG annotations, as well as any computerized or medical
    interpretation reports. Only the encoding syntax and the semantics of the ECG
    descriptors and of the diagnosis codes are standardized. We present all of the
    landmarks in the development and publication of SCP-ECG, from the early 1990s
    to the 2009 International Organization for Standardization (ISO) SCP-ECG standards,
    including the latest version published by CEN in 2020, which now encompasses rest
    and stress ECGs, Holter recordings, and protocol-based trials.
acknowledgement: This research received no external funding. The authors thank the
  large number of researchers, engineers, cardiologists, and clinicians from academia,
  industry, and normalization organizations who contributed to the development and
  testing of the SCP-ECG standards.
article_processing_charge: Yes
article_type: review
author:
- first_name: Paul
  full_name: Rubel, Paul
  last_name: Rubel
- first_name: Jocelyne
  full_name: Fayn, Jocelyne
  last_name: Fayn
- first_name: Peter W.
  full_name: Macfarlane, Peter W.
  last_name: Macfarlane
- first_name: Danilo
  full_name: Pani, Danilo
  last_name: Pani
- first_name: Alois
  full_name: Schlögl, Alois
  id: 45BF87EE-F248-11E8-B48F-1D18A9856A87
  last_name: Schlögl
  orcid: 0000-0002-5621-8100
- first_name: Alpo
  full_name: Värri, Alpo
  last_name: Värri
citation:
  ama: 'Rubel P, Fayn J, Macfarlane PW, Pani D, Schlögl A, Värri A. The history and
    challenges of SCP-ECG: The standard communication protocol for computer-assisted
    electrocardiography. <i>Hearts</i>. 2021;2(3):384-409. doi:<a href="https://doi.org/10.3390/hearts2030031">10.3390/hearts2030031</a>'
  apa: 'Rubel, P., Fayn, J., Macfarlane, P. W., Pani, D., Schlögl, A., &#38; Värri,
    A. (2021). The history and challenges of SCP-ECG: The standard communication protocol
    for computer-assisted electrocardiography. <i>Hearts</i>. MDPI. <a href="https://doi.org/10.3390/hearts2030031">https://doi.org/10.3390/hearts2030031</a>'
  chicago: 'Rubel, Paul, Jocelyne Fayn, Peter W. Macfarlane, Danilo Pani, Alois Schlögl,
    and Alpo Värri. “The History and Challenges of SCP-ECG: The Standard Communication
    Protocol for Computer-Assisted Electrocardiography.” <i>Hearts</i>. MDPI, 2021.
    <a href="https://doi.org/10.3390/hearts2030031">https://doi.org/10.3390/hearts2030031</a>.'
  ieee: 'P. Rubel, J. Fayn, P. W. Macfarlane, D. Pani, A. Schlögl, and A. Värri, “The
    history and challenges of SCP-ECG: The standard communication protocol for computer-assisted
    electrocardiography,” <i>Hearts</i>, vol. 2, no. 3. MDPI, pp. 384–409, 2021.'
  ista: 'Rubel P, Fayn J, Macfarlane PW, Pani D, Schlögl A, Värri A. 2021. The history
    and challenges of SCP-ECG: The standard communication protocol for computer-assisted
    electrocardiography. Hearts. 2(3), 384–409.'
  mla: 'Rubel, Paul, et al. “The History and Challenges of SCP-ECG: The Standard Communication
    Protocol for Computer-Assisted Electrocardiography.” <i>Hearts</i>, vol. 2, no.
    3, MDPI, 2021, pp. 384–409, doi:<a href="https://doi.org/10.3390/hearts2030031">10.3390/hearts2030031</a>.'
  short: P. Rubel, J. Fayn, P.W. Macfarlane, D. Pani, A. Schlögl, A. Värri, Hearts
    2 (2021) 384–409.
date_created: 2024-04-03T09:03:31Z
date_published: 2021-08-24T00:00:00Z
date_updated: 2024-04-09T06:51:50Z
day: '24'
ddc:
- '610'
department:
- _id: ScienComp
doi: 10.3390/hearts2030031
file:
- access_level: open_access
  checksum: f67142b1e1e8ca5cd7a6a6798f46375e
  content_type: application/pdf
  creator: dernst
  date_created: 2024-04-09T06:49:47Z
  date_updated: 2024-04-09T06:49:47Z
  file_id: '15302'
  file_name: 2021_Hearts_Rubel.pdf
  file_size: 3539897
  relation: main_file
  success: 1
file_date_updated: 2024-04-09T06:49:47Z
has_accepted_license: '1'
intvolume: '         2'
issue: '3'
keyword:
- General Medicine
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 384-409
publication: Hearts
publication_identifier:
  issn:
  - 2673-3846
publication_status: published
publisher: MDPI
quality_controlled: '1'
status: public
title: 'The history and challenges of SCP-ECG: The standard communication protocol
  for computer-assisted electrocardiography'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2021'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '19472'
abstract:
- lang: eng
  text: The forebrain hemispheres are predominantly separated during embryogenesis
    by the interhemispheric fissure (IHF). Radial astroglia remodel the IHF to form
    a continuous substrate between the hemispheres for midline crossing of the corpus
    callosum (CC) and hippocampal commissure (HC). Deleted in colorectal carcinoma
    (DCC) and netrin 1 (NTN1) are molecules that have an evolutionarily conserved
    function in commissural axon guidance. The CC and HC are absent in <jats:italic>Dcc</jats:italic>
    and <jats:italic>Ntn1</jats:italic> knockout mice, while other commissures are
    only partially affected, suggesting an additional aetiology in forebrain commissure
    formation. Here, we find that these molecules play a critical role in regulating
    astroglial development and IHF remodelling during CC and HC formation. Human subjects
    with <jats:italic>DCC</jats:italic> mutations display disrupted IHF remodelling
    associated with CC and HC malformations. Thus, axon guidance molecules such as
    DCC and NTN1 first regulate the formation of a midline substrate for dorsal commissures
    prior to their role in regulating axonal growth and guidance across it.
article_number: '61769'
article_processing_charge: Yes
article_type: original
author:
- first_name: Laura
  full_name: Morcom, Laura
  last_name: Morcom
- first_name: Ilan
  full_name: Gobius, Ilan
  last_name: Gobius
- first_name: Ashley PL
  full_name: Marsh, Ashley PL
  last_name: Marsh
- first_name: Rodrigo
  full_name: Suárez, Rodrigo
  last_name: Suárez
- first_name: Jonathan WC
  full_name: Lim, Jonathan WC
  last_name: Lim
- first_name: Caitlin
  full_name: Bridges, Caitlin
  last_name: Bridges
- first_name: Yunan
  full_name: Ye, Yunan
  last_name: Ye
- first_name: Laura R
  full_name: Fenlon, Laura R
  last_name: Fenlon
- first_name: Yvrick
  full_name: Zagar, Yvrick
  last_name: Zagar
- first_name: Amelia May Barnett
  full_name: Douglass, Amelia May Barnett
  id: de5f6fda-80fb-11ef-996f-a8c4ecd8e289
  last_name: Douglass
  orcid: 0000-0001-5398-6473
- first_name: Amber-Lee S
  full_name: Donahoo, Amber-Lee S
  last_name: Donahoo
- first_name: Thomas
  full_name: Fothergill, Thomas
  last_name: Fothergill
- first_name: Samreen
  full_name: Shaikh, Samreen
  last_name: Shaikh
- first_name: Peter
  full_name: Kozulin, Peter
  last_name: Kozulin
- first_name: Timothy J
  full_name: Edwards, Timothy J
  last_name: Edwards
- first_name: Helen M
  full_name: Cooper, Helen M
  last_name: Cooper
- first_name: Elliott H
  full_name: Sherr, Elliott H
  last_name: Sherr
- first_name: Alain
  full_name: Chédotal, Alain
  last_name: Chédotal
- first_name: Richard J
  full_name: Leventer, Richard J
  last_name: Leventer
- first_name: Paul J
  full_name: Lockhart, Paul J
  last_name: Lockhart
- first_name: Linda J
  full_name: Richards, Linda J
  last_name: Richards
citation:
  ama: Morcom L, Gobius I, Marsh AP, et al. DCC regulates astroglial development essential
    for telencephalic morphogenesis and corpus callosum formation. <i>eLife</i>. 2021;10.
    doi:<a href="https://doi.org/10.7554/elife.61769">10.7554/elife.61769</a>
  apa: Morcom, L., Gobius, I., Marsh, A. P., Suárez, R., Lim, J. W., Bridges, C.,
    … Richards, L. J. (2021). DCC regulates astroglial development essential for telencephalic
    morphogenesis and corpus callosum formation. <i>ELife</i>. eLife Sciences Publications.
    <a href="https://doi.org/10.7554/elife.61769">https://doi.org/10.7554/elife.61769</a>
  chicago: Morcom, Laura, Ilan Gobius, Ashley PL Marsh, Rodrigo Suárez, Jonathan WC
    Lim, Caitlin Bridges, Yunan Ye, et al. “DCC Regulates Astroglial Development Essential
    for Telencephalic Morphogenesis and Corpus Callosum Formation.” <i>ELife</i>.
    eLife Sciences Publications, 2021. <a href="https://doi.org/10.7554/elife.61769">https://doi.org/10.7554/elife.61769</a>.
  ieee: L. Morcom <i>et al.</i>, “DCC regulates astroglial development essential for
    telencephalic morphogenesis and corpus callosum formation,” <i>eLife</i>, vol.
    10. eLife Sciences Publications, 2021.
  ista: Morcom L, Gobius I, Marsh AP, Suárez R, Lim JW, Bridges C, Ye Y, Fenlon LR,
    Zagar Y, Douglass AM, Donahoo A-LS, Fothergill T, Shaikh S, Kozulin P, Edwards
    TJ, Cooper HM, Sherr EH, Chédotal A, Leventer RJ, Lockhart PJ, Richards LJ. 2021.
    DCC regulates astroglial development essential for telencephalic morphogenesis
    and corpus callosum formation. eLife. 10, 61769.
  mla: Morcom, Laura, et al. “DCC Regulates Astroglial Development Essential for Telencephalic
    Morphogenesis and Corpus Callosum Formation.” <i>ELife</i>, vol. 10, 61769, eLife
    Sciences Publications, 2021, doi:<a href="https://doi.org/10.7554/elife.61769">10.7554/elife.61769</a>.
  short: L. Morcom, I. Gobius, A.P. Marsh, R. Suárez, J.W. Lim, C. Bridges, Y. Ye,
    L.R. Fenlon, Y. Zagar, A.M. Douglass, A.-L.S. Donahoo, T. Fothergill, S. Shaikh,
    P. Kozulin, T.J. Edwards, H.M. Cooper, E.H. Sherr, A. Chédotal, R.J. Leventer,
    P.J. Lockhart, L.J. Richards, ELife 10 (2021).
date_created: 2025-04-03T12:29:29Z
date_published: 2021-04-19T00:00:00Z
date_updated: 2025-07-10T11:51:41Z
day: '19'
doi: 10.7554/elife.61769
extern: '1'
external_id:
  pmid:
  - '33871356'
has_accepted_license: '1'
intvolume: '        10'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.7554/eLife.61769
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
publication: eLife
publication_identifier:
  eissn:
  - 2050-084X
publication_status: published
publisher: eLife Sciences Publications
quality_controlled: '1'
scopus_import: '1'
status: public
title: DCC regulates astroglial development essential for telencephalic morphogenesis
  and corpus callosum formation
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10
year: '2021'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19489'
abstract:
- lang: eng
  text: "Let K be a cyclic number field of odd degree over \r\n\U0001D444 with odd
    narrow class number, such that 2 is inert in \U0001D43E/\U0001D444. We define
    a family of number fields {\U0001D43E(\U0001D45D)}\U0001D45D, depending on K and
    indexed by the rational primes p that split completely in \U0001D43E/\U0001D444,
    in which p is always ramified of degree 2. Conditional on a standard conjecture
    on short character sums, the density of such rational primes p that exhibit one
    of two possible ramified factorizations in \U0001D43E(\U0001D45D)/\U0001D444 is
    strictly between 0 and 1 and is given explicitly as a formula in terms of the
    degree of the extension \U0001D43E/\U0001D444. Our results are unconditional in
    the cubic case. Our proof relies on a detailed study of the joint distribution
    of spins of prime ideals."
article_number: '1'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yik Tung
  full_name: Chan, Yik Tung
  id: c4c0afc8-9262-11ed-9231-d8b0bc743af1
  last_name: Chan
  orcid: 0000-0001-8467-4106
- first_name: Christine
  full_name: McMeekin, Christine
  last_name: McMeekin
- first_name: Djordjo
  full_name: Milovic, Djordjo
  last_name: Milovic
citation:
  ama: Chan S, McMeekin C, Milovic D. A density of ramified primes. <i>Research in
    Number Theory</i>. 2021;8. doi:<a href="https://doi.org/10.1007/s40993-021-00295-5">10.1007/s40993-021-00295-5</a>
  apa: Chan, S., McMeekin, C., &#38; Milovic, D. (2021). A density of ramified primes.
    <i>Research in Number Theory</i>. Springer Nature. <a href="https://doi.org/10.1007/s40993-021-00295-5">https://doi.org/10.1007/s40993-021-00295-5</a>
  chicago: Chan, Stephanie, Christine McMeekin, and Djordjo Milovic. “A Density of
    Ramified Primes.” <i>Research in Number Theory</i>. Springer Nature, 2021. <a
    href="https://doi.org/10.1007/s40993-021-00295-5">https://doi.org/10.1007/s40993-021-00295-5</a>.
  ieee: S. Chan, C. McMeekin, and D. Milovic, “A density of ramified primes,” <i>Research
    in Number Theory</i>, vol. 8. Springer Nature, 2021.
  ista: Chan S, McMeekin C, Milovic D. 2021. A density of ramified primes. Research
    in Number Theory. 8, 1.
  mla: Chan, Stephanie, et al. “A Density of Ramified Primes.” <i>Research in Number
    Theory</i>, vol. 8, 1, Springer Nature, 2021, doi:<a href="https://doi.org/10.1007/s40993-021-00295-5">10.1007/s40993-021-00295-5</a>.
  short: S. Chan, C. McMeekin, D. Milovic, Research in Number Theory 8 (2021).
date_created: 2025-04-05T10:50:51Z
date_published: 2021-11-15T00:00:00Z
date_updated: 2025-07-10T11:51:46Z
day: '15'
ddc:
- '510'
doi: 10.1007/s40993-021-00295-5
extern: '1'
external_id:
  arxiv:
  - '2005.10188'
has_accepted_license: '1'
intvolume: '         8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1007/s40993-021-00295-5
month: '11'
oa: 1
oa_version: Published Version
publication: Research in Number Theory
publication_identifier:
  eissn:
  - 2363-9555
  issn:
  - 2522-0160
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: A density of ramified primes
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '19492'
abstract:
- lang: eng
  text: Kuroda’s formula relates the class number of a multiquadratic number field
    K to the class numbers of its quadratic subfields ki. A key component in this
    formula is the unit group index (math formular). We study how Q(K) behaves on
    average in certain natural families of totally real biquadratic fields K parametrized
    by prime numbers.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yik Tung
  full_name: Chan, Yik Tung
  id: c4c0afc8-9262-11ed-9231-d8b0bc743af1
  last_name: Chan
  orcid: 0000-0001-8467-4106
- first_name: Djordjo
  full_name: Milovic, Djordjo
  last_name: Milovic
citation:
  ama: Chan S, Milovic D. Kuroda’s formula and arithmetic statistics. <i>Mathematische
    Zeitschrift</i>. 2021;300(2):1509-1527. doi:<a href="https://doi.org/10.1007/s00209-021-02823-6">10.1007/s00209-021-02823-6</a>
  apa: Chan, S., &#38; Milovic, D. (2021). Kuroda’s formula and arithmetic statistics.
    <i>Mathematische Zeitschrift</i>. Springer Nature. <a href="https://doi.org/10.1007/s00209-021-02823-6">https://doi.org/10.1007/s00209-021-02823-6</a>
  chicago: Chan, Stephanie, and Djordjo Milovic. “Kuroda’s Formula and Arithmetic
    Statistics.” <i>Mathematische Zeitschrift</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s00209-021-02823-6">https://doi.org/10.1007/s00209-021-02823-6</a>.
  ieee: S. Chan and D. Milovic, “Kuroda’s formula and arithmetic statistics,” <i>Mathematische
    Zeitschrift</i>, vol. 300, no. 2. Springer Nature, pp. 1509–1527, 2021.
  ista: Chan S, Milovic D. 2021. Kuroda’s formula and arithmetic statistics. Mathematische
    Zeitschrift. 300(2), 1509–1527.
  mla: Chan, Stephanie, and Djordjo Milovic. “Kuroda’s Formula and Arithmetic Statistics.”
    <i>Mathematische Zeitschrift</i>, vol. 300, no. 2, Springer Nature, 2021, pp.
    1509–27, doi:<a href="https://doi.org/10.1007/s00209-021-02823-6">10.1007/s00209-021-02823-6</a>.
  short: S. Chan, D. Milovic, Mathematische Zeitschrift 300 (2021) 1509–1527.
date_created: 2025-04-05T10:51:04Z
date_published: 2021-08-17T00:00:00Z
date_updated: 2025-07-10T11:51:48Z
day: '17'
doi: 10.1007/s00209-021-02823-6
extern: '1'
external_id:
  arxiv:
  - '1905.09745'
intvolume: '       300'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1905.09745
month: '08'
oa: 1
oa_version: Preprint
page: 1509-1527
publication: Mathematische Zeitschrift
publication_identifier:
  eissn:
  - 1432-1823
  issn:
  - 0025-5874
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Kuroda’s formula and arithmetic statistics
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 300
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '19909'
abstract:
- lang: eng
  text: Most water in the Universe may be superionic, and its thermodynamic and transport
    properties are crucial for planetary science but difficult to probe experimentally
    or theoretically. We use machine learning and free-energy methods to overcome
    the limitations of quantum mechanical simulations and characterize hydrogen diffusion,
    superionic transitions and phase behaviours of water at extreme conditions. We
    predict that close-packed superionic phases, which have a fraction of mixed stacking
    for finite systems, are stable over a wide temperature and pressure range, whereas
    a body-centred cubic superionic phase is only thermodynamically stable in a small
    window but is kinetically favoured. Our phase boundaries, which are consistent
    with existing—albeit scarce—experimental observations, help resolve the fractions
    of insulating ice, different superionic phases and liquid water inside ice giants.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Bingqing
  full_name: Cheng, Bingqing
  id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9
  last_name: Cheng
  orcid: 0000-0002-3584-9632
- first_name: Mandy
  full_name: Bethkenhagen, Mandy
  last_name: Bethkenhagen
- first_name: Chris J.
  full_name: Pickard, Chris J.
  last_name: Pickard
- first_name: Sebastien
  full_name: Hamel, Sebastien
  last_name: Hamel
citation:
  ama: Cheng B, Bethkenhagen M, Pickard CJ, Hamel S. Phase behaviours of superionic
    water at planetary conditions. <i>Nature Physics</i>. 2021;17(11):1228-1232. doi:<a
    href="https://doi.org/10.1038/s41567-021-01334-9">10.1038/s41567-021-01334-9</a>
  apa: Cheng, B., Bethkenhagen, M., Pickard, C. J., &#38; Hamel, S. (2021). Phase
    behaviours of superionic water at planetary conditions. <i>Nature Physics</i>.
    Springer Nature. <a href="https://doi.org/10.1038/s41567-021-01334-9">https://doi.org/10.1038/s41567-021-01334-9</a>
  chicago: Cheng, Bingqing, Mandy Bethkenhagen, Chris J. Pickard, and Sebastien Hamel.
    “Phase Behaviours of Superionic Water at Planetary Conditions.” <i>Nature Physics</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1038/s41567-021-01334-9">https://doi.org/10.1038/s41567-021-01334-9</a>.
  ieee: B. Cheng, M. Bethkenhagen, C. J. Pickard, and S. Hamel, “Phase behaviours
    of superionic water at planetary conditions,” <i>Nature Physics</i>, vol. 17,
    no. 11. Springer Nature, pp. 1228–1232, 2021.
  ista: Cheng B, Bethkenhagen M, Pickard CJ, Hamel S. 2021. Phase behaviours of superionic
    water at planetary conditions. Nature Physics. 17(11), 1228–1232.
  mla: Cheng, Bingqing, et al. “Phase Behaviours of Superionic Water at Planetary
    Conditions.” <i>Nature Physics</i>, vol. 17, no. 11, Springer Nature, 2021, pp.
    1228–32, doi:<a href="https://doi.org/10.1038/s41567-021-01334-9">10.1038/s41567-021-01334-9</a>.
  short: B. Cheng, M. Bethkenhagen, C.J. Pickard, S. Hamel, Nature Physics 17 (2021)
    1228–1232.
date_created: 2025-06-26T11:36:36Z
date_published: 2021-11-01T00:00:00Z
date_updated: 2025-06-26T11:49:07Z
day: '01'
doi: 10.1038/s41567-021-01334-9
extern: '1'
external_id:
  arxiv:
  - '2103.09035'
intvolume: '        17'
issue: '11'
language:
- iso: eng
month: '11'
oa_version: Preprint
page: 1228-1232
publication: Nature Physics
publication_identifier:
  eissn:
  - 1745-2481
  issn:
  - 1745-2473
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '9696'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Phase behaviours of superionic water at planetary conditions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '20619'
abstract:
- lang: eng
  text: The first author’s previous work established Solomon’s WDVV-type relations
    for Welschinger’s invariant curve counts in real symplectic fourfolds by lifting
    geometric relations over possibly unorientable morphisms. We apply her framework
    to obtain WDVV-style relations for the disk invariants of real symplectic sixfolds
    with some symmetry, in particular confirming Alcolado’s prediction for P^3 and
    extending it to other spaces. These relations reduce the computation of Welschinger’s
    invariants of many real symplectic sixfolds to invariants in small degrees and
    provide lower bounds for counts of real rational curves with positive-dimensional
    insertions in some cases. In the case of P^3, our lower bounds fit perfectly with
    Kollár’s vanishing results.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Xujia
  full_name: Chen, Xujia
  id: 968ad14a-fd86-11ee-a420-ea29715511a3
  last_name: Chen
- first_name: Aleksey
  full_name: Zinger, Aleksey
  last_name: Zinger
citation:
  ama: Chen X, Zinger A. WDVV-type relations for disk Gromov–Witten invariants in
    dimension 6. <i>Mathematische Annalen</i>. 2021;379(3-4):1231-1313. doi:<a href="https://doi.org/10.1007/s00208-020-02130-1">10.1007/s00208-020-02130-1</a>
  apa: Chen, X., &#38; Zinger, A. (2021). WDVV-type relations for disk Gromov–Witten
    invariants in dimension 6. <i>Mathematische Annalen</i>. Springer Nature. <a href="https://doi.org/10.1007/s00208-020-02130-1">https://doi.org/10.1007/s00208-020-02130-1</a>
  chicago: Chen, Xujia, and Aleksey Zinger. “WDVV-Type Relations for Disk Gromov–Witten
    Invariants in Dimension 6.” <i>Mathematische Annalen</i>. Springer Nature, 2021.
    <a href="https://doi.org/10.1007/s00208-020-02130-1">https://doi.org/10.1007/s00208-020-02130-1</a>.
  ieee: X. Chen and A. Zinger, “WDVV-type relations for disk Gromov–Witten invariants
    in dimension 6,” <i>Mathematische Annalen</i>, vol. 379, no. 3–4. Springer Nature,
    pp. 1231–1313, 2021.
  ista: Chen X, Zinger A. 2021. WDVV-type relations for disk Gromov–Witten invariants
    in dimension 6. Mathematische Annalen. 379(3–4), 1231–1313.
  mla: Chen, Xujia, and Aleksey Zinger. “WDVV-Type Relations for Disk Gromov–Witten
    Invariants in Dimension 6.” <i>Mathematische Annalen</i>, vol. 379, no. 3–4, Springer
    Nature, 2021, pp. 1231–313, doi:<a href="https://doi.org/10.1007/s00208-020-02130-1">10.1007/s00208-020-02130-1</a>.
  short: X. Chen, A. Zinger, Mathematische Annalen 379 (2021) 1231–1313.
date_created: 2025-11-10T08:41:40Z
date_published: 2021-01-25T00:00:00Z
date_updated: 2025-11-10T15:11:29Z
day: '25'
doi: 10.1007/s00208-020-02130-1
extern: '1'
external_id:
  arxiv:
  - '1904.04254'
intvolume: '       379'
issue: 3-4
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1904.04254
month: '01'
oa: 1
oa_version: Preprint
page: 1231-1313
publication: Mathematische Annalen
publication_identifier:
  eissn:
  - 1432-1807
  issn:
  - 0025-5831
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: WDVV-type relations for disk Gromov–Witten invariants in dimension 6
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 379
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '20622'
abstract:
- lang: eng
  text: We first recall Solomon’s relations for Welschinger invariants counting real
    curves in real symplectic fourfolds and the Witten–Dijkgraaf–Verlinde–Verlinde
    (WDVV)-style relations for Welschinger invariants counting real curves in real
    symplectic sixfolds with some symmetry. We then explicitly demonstrate that, in
    some important cases (projective spaces with standard conjugations, real blowups
    of the projective plane, and two- and threefold products of the one-dimensional
    projective space with two involutions each), these relations provide complete
    recursions determining all Welschinger invariants from basic input. We include
    extensive tables of Welschinger invariants in low degrees obtained from these
    recursions with Mathematica. These invariants provide lower bounds for counts
    of real rational curves, including with curve insertions in smooth algebraic threefolds.
article_processing_charge: No
arxiv: 1
author:
- first_name: Xujia
  full_name: Chen, Xujia
  id: 968ad14a-fd86-11ee-a420-ea29715511a3
  last_name: Chen
- first_name: Aleksey
  full_name: Zinger, Aleksey
  last_name: Zinger
citation:
  ama: 'Chen X, Zinger A. WDVV-type relations for Welschinger’s invariants: Applications.
    <i>Kyoto Journal of Mathematics</i>. 61(2):339-376. doi:<a href="https://doi.org/10.1215/21562261-2021-0005">10.1215/21562261-2021-0005</a>'
  apa: 'Chen, X., &#38; Zinger, A. (n.d.). WDVV-type relations for Welschinger’s invariants:
    Applications. <i>Kyoto Journal of Mathematics</i>. Duke University Press. <a href="https://doi.org/10.1215/21562261-2021-0005">https://doi.org/10.1215/21562261-2021-0005</a>'
  chicago: 'Chen, Xujia, and Aleksey Zinger. “WDVV-Type Relations for Welschinger’s
    Invariants: Applications.” <i>Kyoto Journal of Mathematics</i>. Duke University
    Press, n.d. <a href="https://doi.org/10.1215/21562261-2021-0005">https://doi.org/10.1215/21562261-2021-0005</a>.'
  ieee: 'X. Chen and A. Zinger, “WDVV-type relations for Welschinger’s invariants:
    Applications,” <i>Kyoto Journal of Mathematics</i>, vol. 61, no. 2. Duke University
    Press, pp. 339–376.'
  ista: 'Chen X, Zinger A. WDVV-type relations for Welschinger’s invariants: Applications.
    Kyoto Journal of Mathematics. 61(2), 339–376.'
  mla: 'Chen, Xujia, and Aleksey Zinger. “WDVV-Type Relations for Welschinger’s Invariants:
    Applications.” <i>Kyoto Journal of Mathematics</i>, vol. 61, no. 2, Duke University
    Press, pp. 339–76, doi:<a href="https://doi.org/10.1215/21562261-2021-0005">10.1215/21562261-2021-0005</a>.'
  short: X. Chen, A. Zinger, Kyoto Journal of Mathematics 61 (n.d.) 339–376.
date_created: 2025-11-10T08:45:12Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2025-11-10T15:13:58Z
day: '01'
doi: 10.1215/21562261-2021-0005
extern: '1'
external_id:
  arxiv:
  - '1809.08938'
intvolume: '        61'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1809.08938
month: '06'
oa: 1
oa_version: Preprint
page: 339-376
publication: Kyoto Journal of Mathematics
publication_identifier:
  eissn:
  - 2154-3321
publication_status: submitted
publisher: Duke University Press
quality_controlled: '1'
status: public
title: 'WDVV-type relations for Welschinger''s invariants: Applications'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 61
year: '2021'
...
---
OA_place: publisher
OA_type: hybrid
_id: '20765'
abstract:
- lang: eng
  text: <p>A cascade Suzuki–Miyaura cross-coupling between two non-symmetrical coupling
    partners gave rise to 9,10-dihydrophenanthrenes with full site-selectivity. The
    choice of base was critical to facilitate the challenging coupling of the secondary
    boronate group.</p>
article_processing_charge: No
article_type: original
author:
- first_name: Suzanne
  full_name: Willems, Suzanne
  last_name: Willems
- first_name: Georgios
  full_name: Toupalas, Georgios
  last_name: Toupalas
- first_name: Julia
  full_name: Reisenbauer, Julia
  id: 51d862e9-36ee-11f0-86d3-8534c85a5496
  last_name: Reisenbauer
- first_name: Bill
  full_name: Morandi, Bill
  last_name: Morandi
citation:
  ama: Willems S, Toupalas G, Reisenbauer J, Morandi B. A site-selective and stereospecific
    cascade Suzuki–Miyaura annulation of alkyl 1,2-bisboronic esters and 2,2′-dihalo
    1,1′-biaryls. <i>Chemical Communications</i>. 2021;57(32):3909-3912. doi:<a href="https://doi.org/10.1039/d1cc00648g">10.1039/d1cc00648g</a>
  apa: Willems, S., Toupalas, G., Reisenbauer, J., &#38; Morandi, B. (2021). A site-selective
    and stereospecific cascade Suzuki–Miyaura annulation of alkyl 1,2-bisboronic esters
    and 2,2′-dihalo 1,1′-biaryls. <i>Chemical Communications</i>. Royal Society of
    Chemistry. <a href="https://doi.org/10.1039/d1cc00648g">https://doi.org/10.1039/d1cc00648g</a>
  chicago: Willems, Suzanne, Georgios Toupalas, Julia Reisenbauer, and Bill Morandi.
    “A Site-Selective and Stereospecific Cascade Suzuki–Miyaura Annulation of Alkyl
    1,2-Bisboronic Esters and 2,2′-Dihalo 1,1′-Biaryls.” <i>Chemical Communications</i>.
    Royal Society of Chemistry, 2021. <a href="https://doi.org/10.1039/d1cc00648g">https://doi.org/10.1039/d1cc00648g</a>.
  ieee: S. Willems, G. Toupalas, J. Reisenbauer, and B. Morandi, “A site-selective
    and stereospecific cascade Suzuki–Miyaura annulation of alkyl 1,2-bisboronic esters
    and 2,2′-dihalo 1,1′-biaryls,” <i>Chemical Communications</i>, vol. 57, no. 32.
    Royal Society of Chemistry, pp. 3909–3912, 2021.
  ista: Willems S, Toupalas G, Reisenbauer J, Morandi B. 2021. A site-selective and
    stereospecific cascade Suzuki–Miyaura annulation of alkyl 1,2-bisboronic esters
    and 2,2′-dihalo 1,1′-biaryls. Chemical Communications. 57(32), 3909–3912.
  mla: Willems, Suzanne, et al. “A Site-Selective and Stereospecific Cascade Suzuki–Miyaura
    Annulation of Alkyl 1,2-Bisboronic Esters and 2,2′-Dihalo 1,1′-Biaryls.” <i>Chemical
    Communications</i>, vol. 57, no. 32, Royal Society of Chemistry, 2021, pp. 3909–12,
    doi:<a href="https://doi.org/10.1039/d1cc00648g">10.1039/d1cc00648g</a>.
  short: S. Willems, G. Toupalas, J. Reisenbauer, B. Morandi, Chemical Communications
    57 (2021) 3909–3912.
date_created: 2025-12-09T14:25:17Z
date_published: 2021-03-15T00:00:00Z
date_updated: 2025-12-16T12:06:53Z
day: '15'
ddc:
- '540'
doi: 10.1039/d1cc00648g
extern: '1'
external_id:
  pmid:
  - '33871510'
has_accepted_license: '1'
intvolume: '        57'
issue: '32'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
main_file_link:
- open_access: '1'
  url: "DOI\thttps://doi.org/10.1039/D1CC00648G"
month: '03'
oa: 1
oa_version: Published Version
page: 3909-3912
pmid: 1
publication: Chemical Communications
publication_identifier:
  eissn:
  - 1364-548X
  issn:
  - 1359-7345
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: A site-selective and stereospecific cascade Suzuki–Miyaura annulation of alkyl
  1,2-bisboronic esters and 2,2′-dihalo 1,1′-biaryls
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
  name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
  short: CC BY (3.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2021'
...
---
_id: '10000'
abstract:
- lang: eng
  text: Inhibition or targeted deletion of histone deacetylase 3 (HDAC3) is neuroprotective
    in a variety neurodegenerative conditions, including retinal ganglion cells (RGCs)
    after acute optic nerve damage. Consistent with this, induced HDAC3 expression
    in cultured cells shows selective toxicity to neurons. Despite an established
    role for HDAC3 in neuronal pathology, little is known regarding the mechanism
    of this pathology.
acknowledgement: 'The authors thank Joel Dietz for maintaining the mice used in this
  study, Satoshi Kinoshita and the Translational Research Initiative in Pathology
  Laboratory at the University of Wisconsin-Madison for cutting retinal sections analyzed
  in this study, and Mark Banghart for statistical review of the data analysis. Supported
  by National Eye Institute Grants R01 EY012223 (RWN), R01 EY030123 (RWN), R01 EY029809
  (LWG), R01 EY029809 (LWG) and a Vision Research CORE grant P30 EY016665, NRSA grant
  T32 GM081061, by an unrestricted research grant from Research to Prevent Blindness,
  Inc., and by a University of Wisconsin-Madison Vilas Life Cycle award and the Frederick
  A. Davis Research Chair (RWN). '
article_number: '14'
article_processing_charge: Yes
article_type: original
author:
- first_name: Heather M.
  full_name: Schmitt, Heather M.
  last_name: Schmitt
- first_name: Rachel L.
  full_name: Fehrman, Rachel L.
  last_name: Fehrman
- first_name: Margaret E
  full_name: Maes, Margaret E
  id: 3838F452-F248-11E8-B48F-1D18A9856A87
  last_name: Maes
  orcid: 0000-0001-9642-1085
- first_name: Huan
  full_name: Yang, Huan
  last_name: Yang
- first_name: Lian Wang
  full_name: Guo, Lian Wang
  last_name: Guo
- first_name: Cassandra L.
  full_name: Schlamp, Cassandra L.
  last_name: Schlamp
- first_name: Heather R.
  full_name: Pelzel, Heather R.
  last_name: Pelzel
- first_name: Robert W.
  full_name: Nickells, Robert W.
  last_name: Nickells
citation:
  ama: Schmitt HM, Fehrman RL, Maes ME, et al. Increased susceptibility and intrinsic
    apoptotic signaling in neurons by induced HDAC3 expression. <i>Investigative Ophthalmology
    and Visual Science</i>. 2021;62(10). doi:<a href="https://doi.org/10.1167/IOVS.62.10.14">10.1167/IOVS.62.10.14</a>
  apa: Schmitt, H. M., Fehrman, R. L., Maes, M. E., Yang, H., Guo, L. W., Schlamp,
    C. L., … Nickells, R. W. (2021). Increased susceptibility and intrinsic apoptotic
    signaling in neurons by induced HDAC3 expression. <i>Investigative Ophthalmology
    and Visual Science</i>. Association for Research in Vision and Ophthalmology.
    <a href="https://doi.org/10.1167/IOVS.62.10.14">https://doi.org/10.1167/IOVS.62.10.14</a>
  chicago: Schmitt, Heather M., Rachel L. Fehrman, Margaret E Maes, Huan Yang, Lian
    Wang Guo, Cassandra L. Schlamp, Heather R. Pelzel, and Robert W. Nickells. “Increased
    Susceptibility and Intrinsic Apoptotic Signaling in Neurons by Induced HDAC3 Expression.”
    <i>Investigative Ophthalmology and Visual Science</i>. Association for Research
    in Vision and Ophthalmology, 2021. <a href="https://doi.org/10.1167/IOVS.62.10.14">https://doi.org/10.1167/IOVS.62.10.14</a>.
  ieee: H. M. Schmitt <i>et al.</i>, “Increased susceptibility and intrinsic apoptotic
    signaling in neurons by induced HDAC3 expression,” <i>Investigative Ophthalmology
    and Visual Science</i>, vol. 62, no. 10. Association for Research in Vision and
    Ophthalmology, 2021.
  ista: Schmitt HM, Fehrman RL, Maes ME, Yang H, Guo LW, Schlamp CL, Pelzel HR, Nickells
    RW. 2021. Increased susceptibility and intrinsic apoptotic signaling in neurons
    by induced HDAC3 expression. Investigative Ophthalmology and Visual Science. 62(10),
    14.
  mla: Schmitt, Heather M., et al. “Increased Susceptibility and Intrinsic Apoptotic
    Signaling in Neurons by Induced HDAC3 Expression.” <i>Investigative Ophthalmology
    and Visual Science</i>, vol. 62, no. 10, 14, Association for Research in Vision
    and Ophthalmology, 2021, doi:<a href="https://doi.org/10.1167/IOVS.62.10.14">10.1167/IOVS.62.10.14</a>.
  short: H.M. Schmitt, R.L. Fehrman, M.E. Maes, H. Yang, L.W. Guo, C.L. Schlamp, H.R.
    Pelzel, R.W. Nickells, Investigative Ophthalmology and Visual Science 62 (2021).
date_created: 2021-09-12T22:01:23Z
date_published: 2021-08-16T00:00:00Z
date_updated: 2023-08-14T06:35:17Z
day: '16'
ddc:
- '570'
department:
- _id: SaSi
doi: 10.1167/IOVS.62.10.14
external_id:
  isi:
  - '000695230000014'
  pmid:
  - '34398198'
file:
- access_level: open_access
  checksum: c430967746f653aa1ae84ee617f62b73
  content_type: application/pdf
  creator: dernst
  date_created: 2022-05-13T07:40:15Z
  date_updated: 2022-05-13T07:40:15Z
  file_id: '11369'
  file_name: 2021_IOVS_Schmitt.pdf
  file_size: 19707796
  relation: main_file
  success: 1
file_date_updated: 2022-05-13T07:40:15Z
has_accepted_license: '1'
intvolume: '        62'
isi: 1
issue: '10'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
pmid: 1
publication: Investigative Ophthalmology and Visual Science
publication_identifier:
  eissn:
  - 1552-5783
  issn:
  - 0146-0404
publication_status: published
publisher: Association for Research in Vision and Ophthalmology
quality_controlled: '1'
scopus_import: '1'
status: public
title: Increased susceptibility and intrinsic apoptotic signaling in neurons by induced
  HDAC3 expression
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 62
year: '2021'
...
---
_id: '10002'
abstract:
- lang: eng
  text: 'We present a faster symbolic algorithm for the following central problem
    in probabilistic verification: Compute the maximal end-component (MEC) decomposition
    of Markov decision processes (MDPs). This problem generalizes the SCC decomposition
    problem of graphs and closed recurrent sets of Markov chains. The model of symbolic
    algorithms is widely used in formal verification and model-checking, where access
    to the input model is restricted to only symbolic operations (e.g., basic set
    operations and computation of one-step neighborhood). For an input MDP with  n  vertices
    and  m  edges, the classical symbolic algorithm from the 1990s for the MEC decomposition
    requires  O(n2)  symbolic operations and  O(1)  symbolic space. The only other
    symbolic algorithm for the MEC decomposition requires  O(nm−−√)  symbolic operations
    and  O(m−−√)  symbolic space. A main open question is whether the worst-case  O(n2)  bound
    for symbolic operations can be beaten. We present a symbolic algorithm that requires  O˜(n1.5)  symbolic
    operations and  O˜(n−−√)  symbolic space. Moreover, the parametrization of our
    algorithm provides a trade-off between symbolic operations and symbolic space:
    for all  0<ϵ≤1/2  the symbolic algorithm requires  O˜(n2−ϵ)  symbolic operations
    and  O˜(nϵ)  symbolic space ( O˜  hides poly-logarithmic factors). Using our techniques
    we present faster algorithms for computing the almost-sure winning regions of  ω
    -regular objectives for MDPs. We consider the canonical parity objectives for  ω
    -regular objectives, and for parity objectives with  d -priorities we present
    an algorithm that computes the almost-sure winning region with  O˜(n2−ϵ)  symbolic
    operations and  O˜(nϵ)  symbolic space, for all  0<ϵ≤1/2 .'
acknowledgement: The authors are grateful to the anonymous referees for their valuable
  comments. A. S. is fully supported by the Vienna Science and Technology Fund (WWTF)
  through project ICT15–003. K. C. is supported by the Austrian Science Fund (FWF)
  NFN Grant No S11407-N23 (RiSE/SHiNE) and by the ERC CoG 863818 (ForM-SMArt). For
  M. H. the research leading to these results has received funding from the European
  Research Council under the European Unions Seventh Framework Programme (FP/2007–2013)
  / ERC Grant Agreement no. 340506.
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Wolfgang
  full_name: Dvorak, Wolfgang
  last_name: Dvorak
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Alexander
  full_name: Svozil, Alexander
  last_name: Svozil
citation:
  ama: 'Chatterjee K, Dvorak W, Henzinger M, Svozil A. Symbolic time and space tradeoffs
    for probabilistic verification. In: <i>Proceedings of the 36th Annual ACM/IEEE
    Symposium on Logic in Computer Science</i>. Institute of Electrical and Electronics
    Engineers; 2021:1-13. doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470739">10.1109/LICS52264.2021.9470739</a>'
  apa: 'Chatterjee, K., Dvorak, W., Henzinger, M., &#38; Svozil, A. (2021). Symbolic
    time and space tradeoffs for probabilistic verification. In <i>Proceedings of
    the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i> (pp. 1–13).
    Rome, Italy: Institute of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/LICS52264.2021.9470739">https://doi.org/10.1109/LICS52264.2021.9470739</a>'
  chicago: Chatterjee, Krishnendu, Wolfgang Dvorak, Monika Henzinger, and Alexander
    Svozil. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” In
    <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>,
    1–13. Institute of Electrical and Electronics Engineers, 2021. <a href="https://doi.org/10.1109/LICS52264.2021.9470739">https://doi.org/10.1109/LICS52264.2021.9470739</a>.
  ieee: K. Chatterjee, W. Dvorak, M. Henzinger, and A. Svozil, “Symbolic time and
    space tradeoffs for probabilistic verification,” in <i>Proceedings of the 36th
    Annual ACM/IEEE Symposium on Logic in Computer Science</i>, Rome, Italy, 2021,
    pp. 1–13.
  ista: 'Chatterjee K, Dvorak W, Henzinger M, Svozil A. 2021. Symbolic time and space
    tradeoffs for probabilistic verification. Proceedings of the 36th Annual ACM/IEEE
    Symposium on Logic in Computer Science. LICS: Logic in Computer Science, 1–13.'
  mla: Chatterjee, Krishnendu, et al. “Symbolic Time and Space Tradeoffs for Probabilistic
    Verification.” <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in
    Computer Science</i>, Institute of Electrical and Electronics Engineers, 2021,
    pp. 1–13, doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470739">10.1109/LICS52264.2021.9470739</a>.
  short: K. Chatterjee, W. Dvorak, M. Henzinger, A. Svozil, in:, Proceedings of the
    36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical
    and Electronics Engineers, 2021, pp. 1–13.
conference:
  end_date: 2021-07-02
  location: Rome, Italy
  name: 'LICS: Logic in Computer Science'
  start_date: 2021-06-29
date_created: 2021-09-12T22:01:24Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2025-07-10T11:15:45Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470739
ec_funded: 1
external_id:
  arxiv:
  - '2104.07466'
  isi:
  - '000947350400089'
isi: 1
keyword:
- Computer science
- Computational modeling
- Markov processes
- Probabilistic logic
- Formal verification
- Game Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.07466
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_identifier:
  eisbn:
  - 978-1-6654-4895-6
  isbn:
  - 978-1-6654-4896-3
  issn:
  - 1043-6871
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symbolic time and space tradeoffs for probabilistic verification
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '10004'
abstract:
- lang: eng
  text: 'Markov chains are the de facto finite-state model for stochastic dynamical
    systems, and Markov decision processes (MDPs) extend Markov chains by incorporating
    non-deterministic behaviors. Given an MDP and rewards on states, a classical optimization
    criterion is the maximal expected total reward where the MDP stops after T steps,
    which can be computed by a simple dynamic programming algorithm. We consider a
    natural generalization of the problem where the stopping times can be chosen according
    to a probability distribution, such that the expected stopping time is T, to optimize
    the expected total reward. Quite surprisingly we establish inter-reducibility
    of the expected stopping-time problem for Markov chains with the Positivity problem
    (which is related to the well-known Skolem problem), for which establishing either
    decidability or undecidability would be a major breakthrough. Given the hardness
    of the exact problem, we consider the approximate version of the problem: we show
    that it can be solved in exponential time for Markov chains and in exponential
    space for MDPs.'
acknowledgement: We are grateful to the anonymous reviewers of LICS 2021 and of a
  previous version of this paper for insightful comments that helped improving the
  presentation. This research was partially supported by the grant ERC CoG 863818
  (ForM-SMArt).
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. Stochastic processes with expected stopping time. In:
    <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>.
    Institute of Electrical and Electronics Engineers; 2021:1-13. doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470595">10.1109/LICS52264.2021.9470595</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2021). Stochastic processes with expected
    stopping time. In <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i> (pp. 1–13). Rome, Italy: Institute of Electrical and Electronics
    Engineers. <a href="https://doi.org/10.1109/LICS52264.2021.9470595">https://doi.org/10.1109/LICS52264.2021.9470595</a>'
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
    Stopping Time.” In <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, 1–13. Institute of Electrical and Electronics Engineers,
    2021. <a href="https://doi.org/10.1109/LICS52264.2021.9470595">https://doi.org/10.1109/LICS52264.2021.9470595</a>.
  ieee: K. Chatterjee and L. Doyen, “Stochastic processes with expected stopping time,”
    in <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>,
    Rome, Italy, 2021, pp. 1–13.
  ista: 'Chatterjee K, Doyen L. 2021. Stochastic processes with expected stopping
    time. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science.
    LICS: Logic in Computer Science, 1–13.'
  mla: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
    Stopping Time.” <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, Institute of Electrical and Electronics Engineers, 2021,
    pp. 1–13, doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470595">10.1109/LICS52264.2021.9470595</a>.
  short: K. Chatterjee, L. Doyen, in:, Proceedings of the 36th Annual ACM/IEEE Symposium
    on Logic in Computer Science, Institute of Electrical and Electronics Engineers,
    2021, pp. 1–13.
conference:
  end_date: 2021-07-02
  location: Rome, Italy
  name: 'LICS: Logic in Computer Science'
  start_date: 2021-06-29
date_created: 2021-09-12T22:01:25Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2025-09-08T14:54:13Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470595
ec_funded: 1
external_id:
  arxiv:
  - '2104.07278'
  isi:
  - '000947350400036'
isi: 1
keyword:
- Computer science
- Heuristic algorithms
- Memory management
- Automata
- Markov processes
- Probability distribution
- Complexity theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.07278
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_identifier:
  eisbn:
  - 978-1-6654-4895-6
  isbn:
  - 978-1-6654-4896-3
  issn:
  - 1043-6871
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
related_material:
  record:
  - id: '18630'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Stochastic processes with expected stopping time
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '10005'
abstract:
- lang: eng
  text: We study systems of nonlinear partial differential equations of parabolic
    type, in which the elliptic operator is replaced by the first-order divergence
    operator acting on a flux function, which is related to the spatial gradient of
    the unknown through an additional implicit equation. This setting, broad enough
    in terms of applications, significantly expands the paradigm of nonlinear parabolic
    problems. Formulating four conditions concerning the form of the implicit equation,
    we first show that these conditions describe a maximal monotone p-coercive graph.
    We then establish the global-in-time and large-data existence of a (weak) solution
    and its uniqueness. To this end, we adopt and significantly generalize Minty’s
    method of monotone mappings. A unified theory, containing several novel tools,
    is developed in a way to be tractable from the point of view of numerical approximations.
acknowledgement: "M. Bulíček and J. Málek acknowledge the support of the project No.
  18-12719S financed by the Czech\r\nScience foundation (GAČR). E. Maringová acknowledges
  support from Charles University Research program \r\nUNCE/SCI/023, the grant SVV-2020-260583
  by the Ministry of Education, Youth and Sports, Czech Republic\r\nand from the Austrian
  Science Fund (FWF), grants P30000, W1245, and F65. M. Bulíček and J. Málek are\r\nmembers
  of the Nečas Center for Mathematical Modelling.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Miroslav
  full_name: Bulíček, Miroslav
  last_name: Bulíček
- first_name: Erika
  full_name: Maringová, Erika
  id: dbabca31-66eb-11eb-963a-fb9c22c880b4
  last_name: Maringová
- first_name: Josef
  full_name: Málek, Josef
  last_name: Málek
citation:
  ama: Bulíček M, Maringová E, Málek J. On nonlinear problems of parabolic type with
    implicit constitutive equations involving flux. <i>Mathematical Models and Methods
    in Applied Sciences</i>. 2021;31(09). doi:<a href="https://doi.org/10.1142/S0218202521500457">10.1142/S0218202521500457</a>
  apa: Bulíček, M., Maringová, E., &#38; Málek, J. (2021). On nonlinear problems of
    parabolic type with implicit constitutive equations involving flux. <i>Mathematical
    Models and Methods in Applied Sciences</i>. World Scientific Publishing. <a href="https://doi.org/10.1142/S0218202521500457">https://doi.org/10.1142/S0218202521500457</a>
  chicago: Bulíček, Miroslav, Erika Maringová, and Josef Málek. “On Nonlinear Problems
    of Parabolic Type with Implicit Constitutive Equations Involving Flux.” <i>Mathematical
    Models and Methods in Applied Sciences</i>. World Scientific Publishing, 2021.
    <a href="https://doi.org/10.1142/S0218202521500457">https://doi.org/10.1142/S0218202521500457</a>.
  ieee: M. Bulíček, E. Maringová, and J. Málek, “On nonlinear problems of parabolic
    type with implicit constitutive equations involving flux,” <i>Mathematical Models
    and Methods in Applied Sciences</i>, vol. 31, no. 09. World Scientific Publishing,
    2021.
  ista: Bulíček M, Maringová E, Málek J. 2021. On nonlinear problems of parabolic
    type with implicit constitutive equations involving flux. Mathematical Models
    and Methods in Applied Sciences. 31(09).
  mla: Bulíček, Miroslav, et al. “On Nonlinear Problems of Parabolic Type with Implicit
    Constitutive Equations Involving Flux.” <i>Mathematical Models and Methods in
    Applied Sciences</i>, vol. 31, no. 09, World Scientific Publishing, 2021, doi:<a
    href="https://doi.org/10.1142/S0218202521500457">10.1142/S0218202521500457</a>.
  short: M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied
    Sciences 31 (2021).
date_created: 2021-09-12T22:01:25Z
date_published: 2021-08-25T00:00:00Z
date_updated: 2025-05-14T10:50:14Z
day: '25'
department:
- _id: JuFi
doi: 10.1142/S0218202521500457
external_id:
  arxiv:
  - '2009.06917'
  isi:
  - '000722222900004'
intvolume: '        31'
isi: 1
issue: '09'
keyword:
- Nonlinear parabolic systems
- implicit constitutive theory
- weak solutions
- existence
- uniqueness
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2009.06917
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
  eissn:
  - 1793-6314
  issn:
  - 0218-2025
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: On nonlinear problems of parabolic type with implicit constitutive equations
  involving flux
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 31
year: '2021'
...
---
OA_place: publisher
_id: '10007'
abstract:
- lang: eng
  text: The present thesis is concerned with the derivation of weak-strong uniqueness
    principles for curvature driven interface evolution problems not satisfying a
    comparison principle. The specific examples being treated are two-phase Navier-Stokes
    flow with surface tension, modeling the evolution of two incompressible, viscous
    and immiscible fluids separated by a sharp interface, and multiphase mean curvature
    flow, which serves as an idealized model for the motion of grain boundaries in
    an annealing polycrystalline material. Our main results - obtained in joint works
    with Julian Fischer, Tim Laux and Theresa M. Simon - state that prior to the formation
    of geometric singularities due to topology changes, the weak solution concept
    of Abels (Interfaces Free Bound. 9, 2007) to two-phase Navier-Stokes flow with
    surface tension and the weak solution concept of Laux and Otto (Calc. Var. Partial
    Differential Equations 55, 2016) to multiphase mean curvature flow (for networks
    in R^2 or double bubbles in R^3) represents the unique solution to these interface
    evolution problems within the class of classical solutions, respectively. To the
    best of the author's knowledge, for interface evolution problems not admitting
    a geometric comparison principle the derivation of a weak-strong uniqueness principle
    represented an open problem, so that the works contained in the present thesis
    constitute the first positive results in this direction. The key ingredient of
    our approach consists of the introduction of a novel concept of relative entropies
    for a class of curvature driven interface evolution problems, for which the associated
    energy contains an interfacial contribution being proportional to the surface
    area of the evolving (network of) interface(s). The interfacial part of the relative
    entropy gives sufficient control on the interface error between a weak and a classical
    solution, and its time evolution can be computed, at least in principle, for any
    energy dissipating weak solution concept. A resulting stability estimate for the
    relative entropy essentially entails the above mentioned weak-strong uniqueness
    principles. The present thesis contains a detailed introduction to our relative
    entropy approach, which in particular highlights potential applications to other
    problems in curvature driven interface evolution not treated in this thesis.
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Sebastian
  full_name: Hensel, Sebastian
  id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
  last_name: Hensel
  orcid: 0000-0001-7252-8072
citation:
  ama: 'Hensel S. Curvature driven interface evolution: Uniqueness properties of weak
    solution concepts. 2021. doi:<a href="https://doi.org/10.15479/at:ista:10007">10.15479/at:ista:10007</a>'
  apa: 'Hensel, S. (2021). <i>Curvature driven interface evolution: Uniqueness properties
    of weak solution concepts</i>. Institute of Science and Technology Austria. <a
    href="https://doi.org/10.15479/at:ista:10007">https://doi.org/10.15479/at:ista:10007</a>'
  chicago: 'Hensel, Sebastian. “Curvature Driven Interface Evolution: Uniqueness Properties
    of Weak Solution Concepts.” Institute of Science and Technology Austria, 2021.
    <a href="https://doi.org/10.15479/at:ista:10007">https://doi.org/10.15479/at:ista:10007</a>.'
  ieee: 'S. Hensel, “Curvature driven interface evolution: Uniqueness properties of
    weak solution concepts,” Institute of Science and Technology Austria, 2021.'
  ista: 'Hensel S. 2021. Curvature driven interface evolution: Uniqueness properties
    of weak solution concepts. Institute of Science and Technology Austria.'
  mla: 'Hensel, Sebastian. <i>Curvature Driven Interface Evolution: Uniqueness Properties
    of Weak Solution Concepts</i>. Institute of Science and Technology Austria, 2021,
    doi:<a href="https://doi.org/10.15479/at:ista:10007">10.15479/at:ista:10007</a>.'
  short: 'S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of
    Weak Solution Concepts, Institute of Science and Technology Austria, 2021.'
corr_author: '1'
date_created: 2021-09-13T11:12:34Z
date_published: 2021-09-14T00:00:00Z
date_updated: 2026-04-08T07:01:01Z
day: '14'
ddc:
- '515'
degree_awarded: PhD
department:
- _id: GradSch
- _id: JuFi
doi: 10.15479/at:ista:10007
ec_funded: 1
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file_date_updated: 2021-09-15T14:37:30Z
has_accepted_license: '1'
language:
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month: '09'
oa: 1
oa_version: Published Version
page: '300'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
  call_identifier: H2020
  grant_number: '948819'
  name: Bridging Scales in Random Materials
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
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    relation: part_of_dissertation
    status: public
  - id: '10013'
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  - id: '7489'
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status: public
supervisor:
- first_name: Julian L
  full_name: Fischer, Julian L
  id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
  last_name: Fischer
  orcid: 0000-0002-0479-558X
title: 'Curvature driven interface evolution: Uniqueness properties of weak solution
  concepts'
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2021'
...
