---
_id: '11831'
abstract:
- lang: eng
  text: "Graph Sparsification aims at compressing large graphs into smaller ones while
    (approximately) preserving important characteristics of the input graph. In this
    work we study Vertex Sparsifiers, i.e., sparsifiers whose goal is to reduce the
    number of vertices. Given a weighted graph G=(V,E), and a terminal set K with
    |K|=k, a quality-q vertex cut sparsifier of G is a graph H with K contained in
    V_H that preserves the value of minimum cuts separating any bipartition of K,
    up to a factor of q. We show that planar graphs with all the k terminals lying
    on the same face admit quality-1 vertex cut sparsifier of size O(k^2) that are
    also planar. Our result extends to vertex flow and distance sparsifiers. It improves
    the previous best known bound of O(k^2 2^(2k)) for cut and flow sparsifiers by
    an exponential factor, and matches an Omega(k^2) lower-bound for this class of
    graphs.\r\n\r\nWe also study vertex reachability sparsifiers for directed graphs.
    Given a digraph G=(V,E) and a terminal set K, a vertex reachability sparsifier
    of G is a digraph H=(V_H,E_H), K contained in V_H that preserves all reachability
    information among terminal pairs. We introduce the notion of reachability-preserving
    minors, i.e., we require H to be a minor of G. Among others, for general planar
    digraphs, we construct reachability-preserving minors of size O(k^2 log^2 k).
    We complement our upper-bound by showing that there exists an infinite family
    of acyclic planar digraphs such that any reachability-preserving minor must have
    Omega(k^2) vertices."
alternative_title:
- LIPIcs
article_number: '44'
article_processing_charge: No
arxiv: 1
author:
- first_name: Gramoz
  full_name: Goranci, Gramoz
  last_name: Goranci
- 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: Pan
  full_name: Peng, Pan
  last_name: Peng
citation:
  ama: 'Goranci G, Henzinger M, Peng P. Improved guarantees for vertex sparsification
    in planar graphs. In: <i>25th Annual European Symposium on Algorithms</i>. Vol
    87. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href="https://doi.org/10.4230/LIPICS.ESA.2017.44">10.4230/LIPICS.ESA.2017.44</a>'
  apa: 'Goranci, G., Henzinger, M., &#38; Peng, P. (2017). Improved guarantees for
    vertex sparsification in planar graphs. In <i>25th Annual European Symposium on
    Algorithms</i> (Vol. 87). Vienna, Austria: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPICS.ESA.2017.44">https://doi.org/10.4230/LIPICS.ESA.2017.44</a>'
  chicago: Goranci, Gramoz, Monika Henzinger, and Pan Peng. “Improved Guarantees for
    Vertex Sparsification in Planar Graphs.” In <i>25th Annual European Symposium
    on Algorithms</i>, Vol. 87. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2017. <a href="https://doi.org/10.4230/LIPICS.ESA.2017.44">https://doi.org/10.4230/LIPICS.ESA.2017.44</a>.
  ieee: G. Goranci, M. Henzinger, and P. Peng, “Improved guarantees for vertex sparsification
    in planar graphs,” in <i>25th Annual European Symposium on Algorithms</i>, Vienna,
    Austria, 2017, vol. 87.
  ista: 'Goranci G, Henzinger M, Peng P. 2017. Improved guarantees for vertex sparsification
    in planar graphs. 25th Annual European Symposium on Algorithms. ESA: Annual European
    Symposium on Algorithms, LIPIcs, vol. 87, 44.'
  mla: Goranci, Gramoz, et al. “Improved Guarantees for Vertex Sparsification in Planar
    Graphs.” <i>25th Annual European Symposium on Algorithms</i>, vol. 87, 44, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:<a href="https://doi.org/10.4230/LIPICS.ESA.2017.44">10.4230/LIPICS.ESA.2017.44</a>.
  short: G. Goranci, M. Henzinger, P. Peng, in:, 25th Annual European Symposium on
    Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
  end_date: 2017-09-06
  location: Vienna, Austria
  name: 'ESA: Annual European Symposium on Algorithms'
  start_date: 2017-09-04
date_created: 2022-08-12T09:27:11Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2024-11-06T11:57:54Z
day: '01'
doi: 10.4230/LIPICS.ESA.2017.44
extern: '1'
external_id:
  arxiv:
  - '1702.01136'
intvolume: '        87'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4230/LIPIcs.ESA.2017.44
month: '09'
oa: 1
oa_version: Published Version
publication: 25th Annual European Symposium on Algorithms
publication_identifier:
  isbn:
  - 978-3-95977-049-1
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
  record:
  - id: '11894'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Improved guarantees for vertex sparsification in planar graphs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 87
year: '2017'
...
---
_id: '11832'
abstract:
- lang: eng
  text: "In this paper, we study the problem of opening centers to cluster a set of
    clients in a metric space so as to minimize the sum of the costs of the centers
    and of the cluster radii, in a dynamic environment where clients arrive and depart,
    and the solution must be updated efficiently while remaining competitive with
    respect to the current optimal solution. We call this dynamic sum-of-radii clustering
    problem.\r\n\r\nWe present a data structure that maintains a solution whose cost
    is within a constant factor of the cost of an optimal solution in metric spaces
    with bounded doubling dimension and whose worst-case update time is logarithmic
    in the parameters of the problem."
alternative_title:
- LIPIcs
article_number: '48'
article_processing_charge: No
arxiv: 1
author:
- 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: Dariusz
  full_name: Leniowski, Dariusz
  last_name: Leniowski
- first_name: Claire
  full_name: Mathieu, Claire
  last_name: Mathieu
citation:
  ama: 'Henzinger M, Leniowski D, Mathieu C. Dynamic clustering to minimize the sum
    of radii. In: <i>25th Annual European Symposium on Algorithms</i>. Vol 87. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href="https://doi.org/10.4230/LIPICS.ESA.2017.48">10.4230/LIPICS.ESA.2017.48</a>'
  apa: 'Henzinger, M., Leniowski, D., &#38; Mathieu, C. (2017). Dynamic clustering
    to minimize the sum of radii. In <i>25th Annual European Symposium on Algorithms</i>
    (Vol. 87). Vienna, Austria: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPICS.ESA.2017.48">https://doi.org/10.4230/LIPICS.ESA.2017.48</a>'
  chicago: Henzinger, Monika, Dariusz Leniowski, and Claire Mathieu. “Dynamic Clustering
    to Minimize the Sum of Radii.” In <i>25th Annual European Symposium on Algorithms</i>,
    Vol. 87. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. <a href="https://doi.org/10.4230/LIPICS.ESA.2017.48">https://doi.org/10.4230/LIPICS.ESA.2017.48</a>.
  ieee: M. Henzinger, D. Leniowski, and C. Mathieu, “Dynamic clustering to minimize
    the sum of radii,” in <i>25th Annual European Symposium on Algorithms</i>, Vienna,
    Austria, 2017, vol. 87.
  ista: 'Henzinger M, Leniowski D, Mathieu C. 2017. Dynamic clustering to minimize
    the sum of radii. 25th Annual European Symposium on Algorithms. ESA: Annual European
    Symposium on Algorithms, LIPIcs, vol. 87, 48.'
  mla: Henzinger, Monika, et al. “Dynamic Clustering to Minimize the Sum of Radii.”
    <i>25th Annual European Symposium on Algorithms</i>, vol. 87, 48, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2017, doi:<a href="https://doi.org/10.4230/LIPICS.ESA.2017.48">10.4230/LIPICS.ESA.2017.48</a>.
  short: M. Henzinger, D. Leniowski, C. Mathieu, in:, 25th Annual European Symposium
    on Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
  end_date: 2017-09-06
  location: Vienna, Austria
  name: 'ESA: Annual European Symposium on Algorithms'
  start_date: 2017-09-04
date_created: 2022-08-12T09:58:46Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2024-11-06T11:59:20Z
day: '01'
doi: 10.4230/LIPICS.ESA.2017.48
extern: '1'
external_id:
  arxiv:
  - '1707.02577'
intvolume: '        87'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4230/LIPICS.ESA.2017.48
month: '09'
oa: 1
oa_version: Published Version
publication: 25th Annual European Symposium on Algorithms
publication_identifier:
  isbn:
  - 978-3-95977-049-1
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamic clustering to minimize the sum of radii
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 87
year: '2017'
...
---
_id: '11833'
abstract:
- lang: eng
  text: "We introduce a new algorithmic framework for designing dynamic graph algorithms
    in minor-free graphs, by exploiting the structure of such graphs and a tool called
    vertex sparsification, which is a way to compress large graphs into small ones
    that well preserve relevant properties among a subset of vertices and has previously
    mainly been used in the design of approximation algorithms.\r\n\r\nUsing this
    framework, we obtain a Monte Carlo randomized fully dynamic algorithm for (1 +
    epsilon)-approximating the energy of electrical flows in n-vertex planar graphs
    with tilde{O}(r epsilon^{-2}) worst-case update time and tilde{O}((r + n / sqrt{r})
    epsilon^{-2}) worst-case query time, for any r larger than some constant. For
    r=n^{2/3}, this gives tilde{O}(n^{2/3} epsilon^{-2}) update time and tilde{O}(n^{2/3}
    epsilon^{-2}) query time. We also extend this algorithm to work for minor-free
    graphs with similar approximation and running time guarantees. Furthermore, we
    illustrate our framework on the all-pairs max flow and shortest path problems
    by giving corresponding dynamic algorithms in minor-free graphs with both sublinear
    update and query times. To the best of our knowledge, our results are the first
    to systematically establish such a connection between dynamic graph algorithms
    and vertex sparsification.\r\n\r\nWe also present both upper bound and lower bound
    for maintaining the energy of electrical flows in the incremental subgraph model,
    where updates consist of only vertex activations, which might be of independent
    interest."
alternative_title:
- LIPIcs
article_number: '45'
article_processing_charge: No
arxiv: 1
author:
- first_name: Gramoz
  full_name: Goranci, Gramoz
  last_name: Goranci
- 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: Pan
  full_name: Peng, Pan
  last_name: Peng
citation:
  ama: 'Goranci G, Henzinger M, Peng P. The power of vertex sparsifiers in dynamic
    graph algorithms. In: <i>25th Annual European Symposium on Algorithms</i>. Vol
    87. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href="https://doi.org/10.4230/LIPICS.ESA.2017.45">10.4230/LIPICS.ESA.2017.45</a>'
  apa: 'Goranci, G., Henzinger, M., &#38; Peng, P. (2017). The power of vertex sparsifiers
    in dynamic graph algorithms. In <i>25th Annual European Symposium on Algorithms</i>
    (Vol. 87). Vienna, Austria: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPICS.ESA.2017.45">https://doi.org/10.4230/LIPICS.ESA.2017.45</a>'
  chicago: Goranci, Gramoz, Monika Henzinger, and Pan Peng. “The Power of Vertex Sparsifiers
    in Dynamic Graph Algorithms.” In <i>25th Annual European Symposium on Algorithms</i>,
    Vol. 87. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. <a href="https://doi.org/10.4230/LIPICS.ESA.2017.45">https://doi.org/10.4230/LIPICS.ESA.2017.45</a>.
  ieee: G. Goranci, M. Henzinger, and P. Peng, “The power of vertex sparsifiers in
    dynamic graph algorithms,” in <i>25th Annual European Symposium on Algorithms</i>,
    Vienna, Austria, 2017, vol. 87.
  ista: 'Goranci G, Henzinger M, Peng P. 2017. The power of vertex sparsifiers in
    dynamic graph algorithms. 25th Annual European Symposium on Algorithms. ESA: Annual
    European Symposium on Algorithms, LIPIcs, vol. 87, 45.'
  mla: Goranci, Gramoz, et al. “The Power of Vertex Sparsifiers in Dynamic Graph Algorithms.”
    <i>25th Annual European Symposium on Algorithms</i>, vol. 87, 45, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2017, doi:<a href="https://doi.org/10.4230/LIPICS.ESA.2017.45">10.4230/LIPICS.ESA.2017.45</a>.
  short: G. Goranci, M. Henzinger, P. Peng, in:, 25th Annual European Symposium on
    Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
  end_date: 2017-09-06
  location: Vienna, Austria
  name: 'ESA: Annual European Symposium on Algorithms'
  start_date: 2017-09-04
date_created: 2022-08-12T10:46:26Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2024-11-06T11:58:29Z
day: '01'
doi: 10.4230/LIPICS.ESA.2017.45
extern: '1'
external_id:
  arxiv:
  - '1712.06473'
intvolume: '        87'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4230/LIPIcs.ESA.2017.45
month: '09'
oa: 1
oa_version: Published Version
publication: 25th Annual European Symposium on Algorithms
publication_identifier:
  isbn:
  - 978-3-95977-049-1
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: The power of vertex sparsifiers in dynamic graph algorithms
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 87
year: '2017'
...
---
_id: '1187'
abstract:
- lang: eng
  text: We construct efficient authentication protocols and message authentication
    codes (MACs) whose security can be reduced to the learning parity with noise (LPN)
    problem. Despite a large body of work—starting with the (Formula presented.) protocol
    of Hopper and Blum in 2001—until now it was not even known how to construct an
    efficient authentication protocol from LPN which is secure against man-in-the-middle
    attacks. A MAC implies such a (two-round) protocol.
article_processing_charge: No
article_type: original
author:
- first_name: Eike
  full_name: Kiltz, Eike
  last_name: Kiltz
- first_name: Krzysztof Z
  full_name: Pietrzak, Krzysztof Z
  id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87
  last_name: Pietrzak
  orcid: 0000-0002-9139-1654
- first_name: Daniele
  full_name: Venturi, Daniele
  last_name: Venturi
- first_name: David
  full_name: Cash, David
  last_name: Cash
- first_name: Abhishek
  full_name: Jain, Abhishek
  last_name: Jain
citation:
  ama: Kiltz E, Pietrzak KZ, Venturi D, Cash D, Jain A. Efficient authentication from
    hard learning problems. <i>Journal of Cryptology</i>. 2017;30(4):1238-1275. doi:<a
    href="https://doi.org/10.1007/s00145-016-9247-3">10.1007/s00145-016-9247-3</a>
  apa: Kiltz, E., Pietrzak, K. Z., Venturi, D., Cash, D., &#38; Jain, A. (2017). Efficient
    authentication from hard learning problems. <i>Journal of Cryptology</i>. Springer.
    <a href="https://doi.org/10.1007/s00145-016-9247-3">https://doi.org/10.1007/s00145-016-9247-3</a>
  chicago: Kiltz, Eike, Krzysztof Z Pietrzak, Daniele Venturi, David Cash, and Abhishek
    Jain. “Efficient Authentication from Hard Learning Problems.” <i>Journal of Cryptology</i>.
    Springer, 2017. <a href="https://doi.org/10.1007/s00145-016-9247-3">https://doi.org/10.1007/s00145-016-9247-3</a>.
  ieee: E. Kiltz, K. Z. Pietrzak, D. Venturi, D. Cash, and A. Jain, “Efficient authentication
    from hard learning problems,” <i>Journal of Cryptology</i>, vol. 30, no. 4. Springer,
    pp. 1238–1275, 2017.
  ista: Kiltz E, Pietrzak KZ, Venturi D, Cash D, Jain A. 2017. Efficient authentication
    from hard learning problems. Journal of Cryptology. 30(4), 1238–1275.
  mla: Kiltz, Eike, et al. “Efficient Authentication from Hard Learning Problems.”
    <i>Journal of Cryptology</i>, vol. 30, no. 4, Springer, 2017, pp. 1238–75, doi:<a
    href="https://doi.org/10.1007/s00145-016-9247-3">10.1007/s00145-016-9247-3</a>.
  short: E. Kiltz, K.Z. Pietrzak, D. Venturi, D. Cash, A. Jain, Journal of Cryptology
    30 (2017) 1238–1275.
date_created: 2018-12-11T11:50:37Z
date_published: 2017-10-01T00:00:00Z
date_updated: 2025-04-14T07:22:06Z
day: '01'
ddc:
- '000'
department:
- _id: KrPi
doi: 10.1007/s00145-016-9247-3
ec_funded: 1
external_id:
  isi:
  - '000410788600007'
file:
- access_level: open_access
  checksum: c647520d115b772a1682fc06fa273eb1
  content_type: application/pdf
  creator: dernst
  date_created: 2020-05-14T16:30:17Z
  date_updated: 2020-07-14T12:44:37Z
  file_id: '7843'
  file_name: 2017_JournalCrypto_Kiltz.pdf
  file_size: 516959
  relation: main_file
file_date_updated: 2020-07-14T12:44:37Z
has_accepted_license: '1'
intvolume: '        30'
isi: 1
issue: '4'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 1238 - 1275
project:
- _id: 258AA5B2-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '682815'
  name: Teaching Old Crypto New Tricks
- _id: 258C570E-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '259668'
  name: Provable Security for Physical Cryptography
publication: Journal of Cryptology
publication_status: published
publisher: Springer
publist_id: '6166'
quality_controlled: '1'
related_material:
  record:
  - id: '3238'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Efficient authentication from hard learning problems
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 30
year: '2017'
...
---
_id: '11873'
abstract:
- lang: eng
  text: "We study the problem of computing a minimum cut in a simple, undirected graph
    and give a deterministic O(m log2 n log log2 n) time algorithm. This improves
    both on the best previously known deterministic running time of O(m log12 n) (Kawarabayashi
    and Thorup [12]) and the best previously known randomized running time of O(mlog3n)
    (Karger [11]) for this problem, though Karger's algorithm can be further applied
    to weighted graphs.\r\n\r\nOur approach is using the Kawarabayashi and Tho- rup
    graph compression technique, which repeatedly finds low-conductance cuts. To find
    these cuts they use a diffusion-based local algorithm. We use instead a flow-
    based local algorithm and suitably adjust their framework to work with our flow-based
    subroutine. Both flow and diffusion based methods have a long history of being
    applied to finding low conductance cuts. Diffusion algorithms have several variants
    that are naturally local while it is more complicated to make flow methods local.
    Some prior work has proven nice properties for local flow based algorithms with
    respect to improving or cleaning up low conductance cuts. Our flow subroutine,
    however, is the first that is both local and produces low conductance cuts. Thus,
    it may be of independent interest."
article_processing_charge: No
arxiv: 1
author:
- 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: Satish
  full_name: Rao, Satish
  last_name: Rao
- first_name: Di
  full_name: Wang, Di
  last_name: Wang
citation:
  ama: 'Henzinger M, Rao S, Wang D. Local flow partitioning for faster edge connectivity.
    In: <i>28th Annual ACM-SIAM Symposium on Discrete Algorithms</i>. Society for
    Industrial and Applied Mathematics; 2017:1919-1938. doi:<a href="https://doi.org/10.1137/1.9781611974782.125">10.1137/1.9781611974782.125</a>'
  apa: 'Henzinger, M., Rao, S., &#38; Wang, D. (2017). Local flow partitioning for
    faster edge connectivity. In <i>28th Annual ACM-SIAM Symposium on Discrete Algorithms</i>
    (pp. 1919–1938). Barcelona, Spain: Society for Industrial and Applied Mathematics.
    <a href="https://doi.org/10.1137/1.9781611974782.125">https://doi.org/10.1137/1.9781611974782.125</a>'
  chicago: Henzinger, Monika, Satish Rao, and Di Wang. “Local Flow Partitioning for
    Faster Edge Connectivity.” In <i>28th Annual ACM-SIAM Symposium on Discrete Algorithms</i>,
    1919–38. Society for Industrial and Applied Mathematics, 2017. <a href="https://doi.org/10.1137/1.9781611974782.125">https://doi.org/10.1137/1.9781611974782.125</a>.
  ieee: M. Henzinger, S. Rao, and D. Wang, “Local flow partitioning for faster edge
    connectivity,” in <i>28th Annual ACM-SIAM Symposium on Discrete Algorithms</i>,
    Barcelona, Spain, 2017, pp. 1919–1938.
  ista: 'Henzinger M, Rao S, Wang D. 2017. Local flow partitioning for faster edge
    connectivity. 28th Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium
    on Discrete Algorithms, 1919–1938.'
  mla: Henzinger, Monika, et al. “Local Flow Partitioning for Faster Edge Connectivity.”
    <i>28th Annual ACM-SIAM Symposium on Discrete Algorithms</i>, Society for Industrial
    and Applied Mathematics, 2017, pp. 1919–38, doi:<a href="https://doi.org/10.1137/1.9781611974782.125">10.1137/1.9781611974782.125</a>.
  short: M. Henzinger, S. Rao, D. Wang, in:, 28th Annual ACM-SIAM Symposium on Discrete
    Algorithms, Society for Industrial and Applied Mathematics, 2017, pp. 1919–1938.
conference:
  end_date: 2017-01-19
  location: Barcelona, Spain
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 2017-01-16
date_created: 2022-08-16T12:20:59Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2024-11-06T12:22:42Z
day: '01'
doi: 10.1137/1.9781611974782.125
extern: '1'
external_id:
  arxiv:
  - '1704.01254'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1704.01254
month: '01'
oa: 1
oa_version: Preprint
page: 1919-1938
publication: 28th Annual ACM-SIAM Symposium on Discrete Algorithms
publication_identifier:
  eisbn:
  - 978-161197478-2
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
related_material:
  record:
  - id: '11889'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Local flow partitioning for faster edge connectivity
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '11874'
abstract:
- lang: eng
  text: "We consider the problem of maintaining an approximately maximum (fractional)
    matching and an approximately minimum vertex cover in a dynamic graph. Starting
    with the seminal paper by Onak and Rubinfeld [STOC 2010], this problem has received
    significant attention in recent years. There remains, however, a polynomial gap
    between the best known worst case update time and the best known amortised update
    time for this problem, even after allowing for randomisation. Specifically, Bernstein
    and Stein [ICALP 2015, SODA 2016] have the best known worst case update time.
    They present a deterministic data structure with approximation ratio (3/2 + ∊)
    and worst case update time O(m1/4/ ∊2), where m is the number of edges in the
    graph. In recent past, Gupta and Peng [FOCS 2013] gave a deterministic data structure
    with approximation ratio (1+ ∊) and worst case update time  No known randomised
    data structure beats the worst case update times of these two results. In contrast,
    the paper by Onak and Rubinfeld [STOC 2010] gave a randomised data structure with
    approximation ratio O(1) and amortised update time O(log2 n), where n is the number
    of nodes in the graph. This was later improved by Baswana, Gupta and Sen [FOCS
    2011] and Solomon [FOCS 2016], leading to a randomised date structure with approximation
    ratio 2 and amortised update time O(1).\r\n\r\nWe bridge the polynomial gap between
    the worst case and amortised update times for this problem, without using any
    randomisation. We present a deterministic data structure with approximation ratio
    (2 + ∊) and worst case update time O(log3 n), for all sufficiently small constants
    ∊."
article_processing_charge: No
arxiv: 1
author:
- first_name: Sayan
  full_name: Bhattacharya, Sayan
  last_name: Bhattacharya
- 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: Danupon
  full_name: Nanongkai, Danupon
  last_name: Nanongkai
citation:
  ama: 'Bhattacharya S, Henzinger M, Nanongkai D. Fully dynamic approximate maximum
    matching and minimum vertex cover in o(log3 n) worst case update time. In: <i>28th
    Annual ACM-SIAM Symposium on Discrete Algorithms</i>. Vol 0. Society for Industrial
    and Applied Mathematics; 2017:470-489. doi:<a href="https://doi.org/10.1137/1.9781611974782.30">10.1137/1.9781611974782.30</a>'
  apa: 'Bhattacharya, S., Henzinger, M., &#38; Nanongkai, D. (2017). Fully dynamic
    approximate maximum matching and minimum vertex cover in o(log3 n) worst case
    update time. In <i>28th Annual ACM-SIAM Symposium on Discrete Algorithms</i> (Vol.
    0, pp. 470–489). Barcelona, Spain: Society for Industrial and Applied Mathematics.
    <a href="https://doi.org/10.1137/1.9781611974782.30">https://doi.org/10.1137/1.9781611974782.30</a>'
  chicago: Bhattacharya, Sayan, Monika Henzinger, and Danupon Nanongkai. “Fully Dynamic
    Approximate Maximum Matching and Minimum Vertex Cover in o(Log3 n) Worst Case
    Update Time.” In <i>28th Annual ACM-SIAM Symposium on Discrete Algorithms</i>,
    0:470–89. Society for Industrial and Applied Mathematics, 2017. <a href="https://doi.org/10.1137/1.9781611974782.30">https://doi.org/10.1137/1.9781611974782.30</a>.
  ieee: S. Bhattacharya, M. Henzinger, and D. Nanongkai, “Fully dynamic approximate
    maximum matching and minimum vertex cover in o(log3 n) worst case update time,”
    in <i>28th Annual ACM-SIAM Symposium on Discrete Algorithms</i>, Barcelona, Spain,
    2017, vol. 0, pp. 470–489.
  ista: 'Bhattacharya S, Henzinger M, Nanongkai D. 2017. Fully dynamic approximate
    maximum matching and minimum vertex cover in o(log3 n) worst case update time.
    28th Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete
    Algorithms vol. 0, 470–489.'
  mla: Bhattacharya, Sayan, et al. “Fully Dynamic Approximate Maximum Matching and
    Minimum Vertex Cover in o(Log3 n) Worst Case Update Time.” <i>28th Annual ACM-SIAM
    Symposium on Discrete Algorithms</i>, vol. 0, Society for Industrial and Applied
    Mathematics, 2017, pp. 470–89, doi:<a href="https://doi.org/10.1137/1.9781611974782.30">10.1137/1.9781611974782.30</a>.
  short: S. Bhattacharya, M. Henzinger, D. Nanongkai, in:, 28th Annual ACM-SIAM Symposium
    on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2017,
    pp. 470–489.
conference:
  end_date: 2017-01-19
  location: Barcelona, Spain
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 2017-01-16
date_created: 2022-08-16T12:28:27Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2024-11-06T12:20:58Z
day: '01'
doi: 10.1137/1.9781611974782.30
extern: '1'
external_id:
  arxiv:
  - '1704.02844'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1704.02844
month: '01'
oa: 1
oa_version: Preprint
page: 470 - 489
publication: 28th Annual ACM-SIAM Symposium on Discrete Algorithms
publication_identifier:
  eisbn:
  - 978-161197478-2
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fully dynamic approximate maximum matching and minimum vertex cover in o(log3
  n) worst case update time
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: '0'
year: '2017'
...
---
_id: '11903'
abstract:
- lang: eng
  text: "Online social networks allow the collection of large amounts of data about
    the influence between users connected by a friendship-like relationship. When
    distributing items among agents forming a social network, this information allows
    us to exploit network externalities that each agent receives from his neighbors
    that get the same item. In this paper we consider Friends-of-Friends (2-hop) network
    externalities, i.e., externalities that not only depend on the neighbors that
    get the same item but also on neighbors of neighbors. For these externalities
    we study a setting where multiple different items are assigned to unit-demand
    agents. Specifically, we study the problem of welfare maximization under different
    types of externality functions. Let n be the number of agents and m be the number
    of items. Our contributions are the following: (1) We show that welfare maximization
    is APX-hard; we show that even for step functions with 2-hop (and also with 1-hop)
    externalities it is NP-hard to approximate social welfare better than (1−1/e).
    (2) On the positive side we present (i) an \U0001D442(\U0001D45B√)-approximation
    algorithm for general concave externality functions, (ii) an O(log m)-approximation
    algorithm for linear externality functions, and (iii) a 518(1−1/\U0001D452)-approximation
    algorithm for 2-hop step function externalities. We also improve the result from
    [7] for 1-hop step function externalities by giving a 12(1−1/\U0001D452)-approximation
    algorithm."
article_processing_charge: No
article_type: original
author:
- first_name: Sayan
  full_name: Bhattacharya, Sayan
  last_name: Bhattacharya
- first_name: Wolfgang
  full_name: Dvořák, Wolfgang
  last_name: Dvořák
- 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: Martin
  full_name: Starnberger, Martin
  last_name: Starnberger
citation:
  ama: Bhattacharya S, Dvořák W, Henzinger M, Starnberger M. Welfare maximization
    with friends-of-friends network externalities. <i>Theory of Computing Systems</i>.
    2017;61(4):948-986. doi:<a href="https://doi.org/10.1007/s00224-017-9759-8">10.1007/s00224-017-9759-8</a>
  apa: Bhattacharya, S., Dvořák, W., Henzinger, M., &#38; Starnberger, M. (2017).
    Welfare maximization with friends-of-friends network externalities. <i>Theory
    of Computing Systems</i>. Springer Nature. <a href="https://doi.org/10.1007/s00224-017-9759-8">https://doi.org/10.1007/s00224-017-9759-8</a>
  chicago: Bhattacharya, Sayan, Wolfgang Dvořák, Monika Henzinger, and Martin Starnberger.
    “Welfare Maximization with Friends-of-Friends Network Externalities.” <i>Theory
    of Computing Systems</i>. Springer Nature, 2017. <a href="https://doi.org/10.1007/s00224-017-9759-8">https://doi.org/10.1007/s00224-017-9759-8</a>.
  ieee: S. Bhattacharya, W. Dvořák, M. Henzinger, and M. Starnberger, “Welfare maximization
    with friends-of-friends network externalities,” <i>Theory of Computing Systems</i>,
    vol. 61, no. 4. Springer Nature, pp. 948–986, 2017.
  ista: Bhattacharya S, Dvořák W, Henzinger M, Starnberger M. 2017. Welfare maximization
    with friends-of-friends network externalities. Theory of Computing Systems. 61(4),
    948–986.
  mla: Bhattacharya, Sayan, et al. “Welfare Maximization with Friends-of-Friends Network
    Externalities.” <i>Theory of Computing Systems</i>, vol. 61, no. 4, Springer Nature,
    2017, pp. 948–86, doi:<a href="https://doi.org/10.1007/s00224-017-9759-8">10.1007/s00224-017-9759-8</a>.
  short: S. Bhattacharya, W. Dvořák, M. Henzinger, M. Starnberger, Theory of Computing
    Systems 61 (2017) 948–986.
date_created: 2022-08-17T11:14:12Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2024-11-06T12:24:23Z
day: '01'
doi: 10.1007/s00224-017-9759-8
extern: '1'
intvolume: '        61'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1007/s00224-017-9759-8
month: '11'
oa: 1
oa_version: Published Version
page: 948-986
publication: Theory of Computing Systems
publication_identifier:
  eissn:
  - 1433-0490
  issn:
  - 1432-4350
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '11837'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Welfare maximization with friends-of-friends network externalities
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 61
year: '2017'
...
---
_id: '1191'
abstract:
- lang: eng
  text: Variation in genotypes may be responsible for differences in dispersal rates,
    directional biases, and growth rates of individuals. These traits may favor certain
    genotypes and enhance their spatiotemporal spreading into areas occupied by the
    less advantageous genotypes. We study how these factors influence the speed of
    spreading in the case of two competing genotypes under the assumption that spatial
    variation of the total population is small compared to the spatial variation of
    the frequencies of the genotypes in the population. In that case, the dynamics
    of the frequency of one of the genotypes is approximately described by a generalized
    Fisher–Kolmogorov–Petrovskii–Piskunov (F–KPP) equation. This generalized F–KPP
    equation with (nonlinear) frequency-dependent diffusion and advection terms admits
    traveling wave solutions that characterize the invasion of the dominant genotype.
    Our existence results generalize the classical theory for traveling waves for
    the F–KPP with constant coefficients. Moreover, in the particular case of the
    quadratic (monostable) nonlinear growth–decay rate in the generalized F–KPP we
    study in detail the influence of the variance in diffusion and mean displacement
    rates of the two genotypes on the minimal wave propagation speed.
acknowledgement: "We thank Nick Barton, Katarína Bod’ová, and Sr\r\n-\r\ndan Sarikas
  for constructive feed-\r\nback and support. Furthermore, we would like to express
  our deep gratitude to the anonymous referees (one\r\nof whom, Jimmy Garnier, agreed
  to reveal his identity) and the editor Max Souza, for very helpful and\r\ndetailed
  comments and suggestions that significantly helped us to improve the manuscript.
  This project has\r\nreceived funding from the European Union’s Seventh Framework
  Programme for research, technological\r\ndevelopment and demonstration under Grant
  Agreement 618091 Speed of Adaptation in Population Genet-\r\nics and Evolutionary
  Computation (SAGE) and the European Research Council (ERC) Grant No. 250152\r\n(SN),
  from the Scientific Grant Agency of the Slovak Republic under the Grant 1/0459/13
  and by the Slovak\r\nResearch and Development Agency under the Contract No. APVV-14-0378
  (RK). RK would also like to\r\nthank IST Austria for its hospitality during the
  work on this project."
article_processing_charge: No
arxiv: 1
author:
- first_name: Richard
  full_name: Kollár, Richard
  last_name: Kollár
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
citation:
  ama: Kollár R, Novak S. Existence of traveling waves for the generalized F–KPP equation.
    <i>Bulletin of Mathematical Biology</i>. 2017;79(3):525-559. doi:<a href="https://doi.org/10.1007/s11538-016-0244-3">10.1007/s11538-016-0244-3</a>
  apa: Kollár, R., &#38; Novak, S. (2017). Existence of traveling waves for the generalized
    F–KPP equation. <i>Bulletin of Mathematical Biology</i>. Springer. <a href="https://doi.org/10.1007/s11538-016-0244-3">https://doi.org/10.1007/s11538-016-0244-3</a>
  chicago: Kollár, Richard, and Sebastian Novak. “Existence of Traveling Waves for
    the Generalized F–KPP Equation.” <i>Bulletin of Mathematical Biology</i>. Springer,
    2017. <a href="https://doi.org/10.1007/s11538-016-0244-3">https://doi.org/10.1007/s11538-016-0244-3</a>.
  ieee: R. Kollár and S. Novak, “Existence of traveling waves for the generalized
    F–KPP equation,” <i>Bulletin of Mathematical Biology</i>, vol. 79, no. 3. Springer,
    pp. 525–559, 2017.
  ista: Kollár R, Novak S. 2017. Existence of traveling waves for the generalized
    F–KPP equation. Bulletin of Mathematical Biology. 79(3), 525–559.
  mla: Kollár, Richard, and Sebastian Novak. “Existence of Traveling Waves for the
    Generalized F–KPP Equation.” <i>Bulletin of Mathematical Biology</i>, vol. 79,
    no. 3, Springer, 2017, pp. 525–59, doi:<a href="https://doi.org/10.1007/s11538-016-0244-3">10.1007/s11538-016-0244-3</a>.
  short: R. Kollár, S. Novak, Bulletin of Mathematical Biology 79 (2017) 525–559.
date_created: 2018-12-11T11:50:38Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2025-09-22T09:44:54Z
day: '01'
department:
- _id: NiBa
doi: 10.1007/s11538-016-0244-3
ec_funded: 1
external_id:
  arxiv:
  - '1607.00944'
  isi:
  - '000395156200005'
intvolume: '        79'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1607.00944
month: '03'
oa: 1
oa_version: Preprint
page: 525-559
project:
- _id: 25B1EC9E-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '618091'
  name: Speed of Adaptation in Population Genetics and Evolutionary Computation
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
publication: Bulletin of Mathematical Biology
publication_status: published
publisher: Springer
publist_id: '6160'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Existence of traveling waves for the generalized F–KPP equation
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 79
year: '2017'
...
---
_id: '1192'
abstract:
- lang: eng
  text: The main result of this paper is a generalization of the classical blossom
    algorithm for finding perfect matchings. Our algorithm can efficiently solve Boolean
    CSPs where each variable appears in exactly two constraints (we call it edge CSP)
    and all constraints are even Δ-matroid relations (represented by lists of tuples).
    As a consequence of this, we settle the complexity classification of planar Boolean
    CSPs started by Dvorak and Kupec. Knowing that edge CSP is tractable for even
    Δ-matroid constraints allows us to extend the tractability result to a larger
    class of Δ-matroids that includes many classes that were known to be tractable
    before, namely co-independent, compact, local and binary.
article_processing_charge: No
arxiv: 1
author:
- first_name: Alexandr
  full_name: Kazda, Alexandr
  id: 3B32BAA8-F248-11E8-B48F-1D18A9856A87
  last_name: Kazda
- first_name: Vladimir
  full_name: Kolmogorov, Vladimir
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
- first_name: Michal
  full_name: Rolinek, Michal
  id: 3CB3BC06-F248-11E8-B48F-1D18A9856A87
  last_name: Rolinek
citation:
  ama: 'Kazda A, Kolmogorov V, Rolinek M. Even delta-matroids and the complexity of
    planar Boolean CSPs. In: SIAM; 2017:307-326. doi:<a href="https://doi.org/10.1137/1.9781611974782.20">10.1137/1.9781611974782.20</a>'
  apa: 'Kazda, A., Kolmogorov, V., &#38; Rolinek, M. (2017). Even delta-matroids and
    the complexity of planar Boolean CSPs (pp. 307–326). Presented at the SODA: Symposium
    on Discrete Algorithms, Barcelona, Spain: SIAM. <a href="https://doi.org/10.1137/1.9781611974782.20">https://doi.org/10.1137/1.9781611974782.20</a>'
  chicago: Kazda, Alexandr, Vladimir Kolmogorov, and Michal Rolinek. “Even Delta-Matroids
    and the Complexity of Planar Boolean CSPs,” 307–26. SIAM, 2017. <a href="https://doi.org/10.1137/1.9781611974782.20">https://doi.org/10.1137/1.9781611974782.20</a>.
  ieee: 'A. Kazda, V. Kolmogorov, and M. Rolinek, “Even delta-matroids and the complexity
    of planar Boolean CSPs,” presented at the SODA: Symposium on Discrete Algorithms,
    Barcelona, Spain, 2017, pp. 307–326.'
  ista: 'Kazda A, Kolmogorov V, Rolinek M. 2017. Even delta-matroids and the complexity
    of planar Boolean CSPs. SODA: Symposium on Discrete Algorithms, 307–326.'
  mla: Kazda, Alexandr, et al. <i>Even Delta-Matroids and the Complexity of Planar
    Boolean CSPs</i>. SIAM, 2017, pp. 307–26, doi:<a href="https://doi.org/10.1137/1.9781611974782.20">10.1137/1.9781611974782.20</a>.
  short: A. Kazda, V. Kolmogorov, M. Rolinek, in:, SIAM, 2017, pp. 307–326.
conference:
  end_date: 2017-01019
  location: Barcelona, Spain
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 2017-01-16
date_created: 2018-12-11T11:50:38Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2025-06-04T08:46:59Z
day: '01'
department:
- _id: VlKo
doi: 10.1137/1.9781611974782.20
ec_funded: 1
external_id:
  arxiv:
  - '1602.03124'
  isi:
  - '000426965800020'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1602.03124
month: '01'
oa: 1
oa_version: Submitted Version
page: 307 - 326
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '616160'
  name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication_identifier:
  isbn:
  - 978-161197478-2
publication_status: published
publisher: SIAM
publist_id: '6159'
quality_controlled: '1'
related_material:
  record:
  - id: '6032'
    relation: later_version
    status: public
status: public
title: Even delta-matroids and the complexity of planar Boolean CSPs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '1196'
abstract:
- lang: eng
  text: 'We define the . model-measuring problem: given a model . M and specification
    . ϕ, what is the maximal distance . ρ such that all models . M'' within distance
    . ρ from . M satisfy (or violate) . ϕ. The model-measuring problem presupposes
    a distance function on models. We concentrate on . automatic distance functions,
    which are defined by weighted automata. The model-measuring problem subsumes several
    generalizations of the classical model-checking problem, in particular, quantitative
    model-checking problems that measure the degree of satisfaction of a specification;
    robustness problems that measure how much a model can be perturbed without violating
    the specification; and parameter synthesis for hybrid systems. We show that for
    automatic distance functions, and (a) . ω-regular linear-time, (b) . ω-regular
    branching-time, and (c) hybrid specifications, the model-measuring problem can
    be solved.We use automata-theoretic model-checking methods for model measuring,
    replacing the emptiness question for word, tree, and hybrid automata by the .
    optimal-value question for the weighted versions of these automata. For automata
    over words and trees, we consider weighted automata that accumulate weights by
    maximizing, summing, discounting, and limit averaging. For hybrid automata, we
    consider monotonic (parametric) hybrid automata, a hybrid counterpart of (discrete)
    weighted automata.We give several examples of using the model-measuring problem
    to compute various notions of robustness and quantitative satisfaction for temporal
    specifications. Further, we propose the modeling framework for model measuring
    to ease the specification and reduce the likelihood of errors in modeling.Finally,
    we present a variant of the model-measuring problem, called the . model-repair
    problem. The model-repair problem applies to models that do not satisfy the specification;
    it can be used to derive restrictions, under which the model satisfies the specification,
    i.e., to repair the model.'
acknowledgement: "This research was supported in part by the European Research Council
  (ERC) under grant 267989 (QUAREM), by the Austrian Science Fund1 (FWF) under grants
  S11402-N23 (RiSE) and Z211-N23 (Wittgenstein Award), and by the National Science
  Centre (NCN), Poland under grant 2014/15/D/ST6/04543.\r\nA Technical Report of this
  article is available via: https://repository.ist.ac.at/171/"
article_processing_charge: No
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Jan
  full_name: Otop, Jan
  id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
  last_name: Otop
citation:
  ama: 'Henzinger TA, Otop J. Model measuring for discrete and hybrid systems. <i>Nonlinear
    Analysis: Hybrid Systems</i>. 2017;23:166-190. doi:<a href="https://doi.org/10.1016/j.nahs.2016.09.001">10.1016/j.nahs.2016.09.001</a>'
  apa: 'Henzinger, T. A., &#38; Otop, J. (2017). Model measuring for discrete and
    hybrid systems. <i>Nonlinear Analysis: Hybrid Systems</i>. Elsevier. <a href="https://doi.org/10.1016/j.nahs.2016.09.001">https://doi.org/10.1016/j.nahs.2016.09.001</a>'
  chicago: 'Henzinger, Thomas A, and Jan Otop. “Model Measuring for Discrete and Hybrid
    Systems.” <i>Nonlinear Analysis: Hybrid Systems</i>. Elsevier, 2017. <a href="https://doi.org/10.1016/j.nahs.2016.09.001">https://doi.org/10.1016/j.nahs.2016.09.001</a>.'
  ieee: 'T. A. Henzinger and J. Otop, “Model measuring for discrete and hybrid systems,”
    <i>Nonlinear Analysis: Hybrid Systems</i>, vol. 23. Elsevier, pp. 166–190, 2017.'
  ista: 'Henzinger TA, Otop J. 2017. Model measuring for discrete and hybrid systems.
    Nonlinear Analysis: Hybrid Systems. 23, 166–190.'
  mla: 'Henzinger, Thomas A., and Jan Otop. “Model Measuring for Discrete and Hybrid
    Systems.” <i>Nonlinear Analysis: Hybrid Systems</i>, vol. 23, Elsevier, 2017,
    pp. 166–90, doi:<a href="https://doi.org/10.1016/j.nahs.2016.09.001">10.1016/j.nahs.2016.09.001</a>.'
  short: 'T.A. Henzinger, J. Otop, Nonlinear Analysis: Hybrid Systems 23 (2017) 166–190.'
date_created: 2018-12-11T11:50:39Z
date_published: 2017-02-01T00:00:00Z
date_updated: 2025-04-15T06:25:59Z
day: '01'
department:
- _id: ToHe
doi: 10.1016/j.nahs.2016.09.001
ec_funded: 1
external_id:
  isi:
  - '000390637000011'
intvolume: '        23'
isi: 1
language:
- iso: eng
month: '02'
oa_version: None
page: 166 - 190
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: Formal methods for the design and analysis of complex systems
publication: 'Nonlinear Analysis: Hybrid Systems'
publication_status: published
publisher: Elsevier
publist_id: '6154'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Model measuring for discrete and hybrid systems
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 23
year: '2017'
...
---
_id: '11961'
abstract:
- lang: eng
  text: Flow chemistry involves the use of channels or tubing to conduct a reaction
    in a continuous stream rather than in a flask. Flow equipment provides chemists
    with unique control over reaction parameters enhancing reactivity or in some cases
    enabling new reactions. This relatively young technology has received a remarkable
    amount of attention in the past decade with many reports on what can be done in
    flow. Until recently, however, the question, “Should we do this in flow?” has
    merely been an afterthought. This review introduces readers to the basic principles
    and fundamentals of flow chemistry and critically discusses recent flow chemistry
    accounts.
article_processing_charge: No
article_type: original
author:
- first_name: Matthew B.
  full_name: Plutschack, Matthew B.
  last_name: Plutschack
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
- first_name: Kerry
  full_name: Gilmore, Kerry
  last_name: Gilmore
- first_name: Peter H.
  full_name: Seeberger, Peter H.
  last_name: Seeberger
citation:
  ama: Plutschack MB, Pieber B, Gilmore K, Seeberger PH. The Hitchhiker’s Guide to
    flow chemistry. <i>Chemical Reviews</i>. 2017;117(18):11796-11893. doi:<a href="https://doi.org/10.1021/acs.chemrev.7b00183">10.1021/acs.chemrev.7b00183</a>
  apa: Plutschack, M. B., Pieber, B., Gilmore, K., &#38; Seeberger, P. H. (2017).
    The Hitchhiker’s Guide to flow chemistry. <i>Chemical Reviews</i>. American Chemical
    Society. <a href="https://doi.org/10.1021/acs.chemrev.7b00183">https://doi.org/10.1021/acs.chemrev.7b00183</a>
  chicago: Plutschack, Matthew B., Bartholomäus Pieber, Kerry Gilmore, and Peter H.
    Seeberger. “The Hitchhiker’s Guide to Flow Chemistry.” <i>Chemical Reviews</i>.
    American Chemical Society, 2017. <a href="https://doi.org/10.1021/acs.chemrev.7b00183">https://doi.org/10.1021/acs.chemrev.7b00183</a>.
  ieee: M. B. Plutschack, B. Pieber, K. Gilmore, and P. H. Seeberger, “The Hitchhiker’s
    Guide to flow chemistry,” <i>Chemical Reviews</i>, vol. 117, no. 18. American
    Chemical Society, pp. 11796–11893, 2017.
  ista: Plutschack MB, Pieber B, Gilmore K, Seeberger PH. 2017. The Hitchhiker’s Guide
    to flow chemistry. Chemical Reviews. 117(18), 11796–11893.
  mla: Plutschack, Matthew B., et al. “The Hitchhiker’s Guide to Flow Chemistry.”
    <i>Chemical Reviews</i>, vol. 117, no. 18, American Chemical Society, 2017, pp.
    11796–893, doi:<a href="https://doi.org/10.1021/acs.chemrev.7b00183">10.1021/acs.chemrev.7b00183</a>.
  short: M.B. Plutschack, B. Pieber, K. Gilmore, P.H. Seeberger, Chemical Reviews
    117 (2017) 11796–11893.
date_created: 2022-08-24T11:07:46Z
date_published: 2017-06-01T00:00:00Z
date_updated: 2023-02-21T10:09:28Z
day: '01'
doi: 10.1021/acs.chemrev.7b00183
extern: '1'
external_id:
  pmid:
  - '28570059'
intvolume: '       117'
issue: '18'
language:
- iso: eng
month: '06'
oa_version: None
page: 11796-11893
pmid: 1
publication: Chemical Reviews
publication_identifier:
  eissn:
  - 1520-6890
  issn:
  - 0009-2665
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Hitchhiker’s Guide to flow chemistry
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 117
year: '2017'
...
---
_id: '11976'
abstract:
- lang: eng
  text: The way organic multistep synthesis is performed is changing due to the adoption
    of flow chemical techniques, which has enabled the development of improved methods
    to make complex molecules. The modular nature of the technique provides not only
    access to target molecules via linear flow approaches but also for the targeting
    of structural cores with single systems. This perspective article summarizes the
    state of the art of continuous multistep synthesis and discusses the main challenges
    and opportunities in this area.
article_processing_charge: No
article_type: original
author:
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
- first_name: Kerry
  full_name: Gilmore, Kerry
  last_name: Gilmore
- first_name: Peter H.
  full_name: Seeberger, Peter H.
  last_name: Seeberger
citation:
  ama: Pieber B, Gilmore K, Seeberger PH. Integrated flow processing - challenges
    in continuous multistep synthesis. <i>Journal of Flow Chemistry</i>. 2017;7(3-4):129-136.
    doi:<a href="https://doi.org/10.1556/1846.2017.00016">10.1556/1846.2017.00016</a>
  apa: Pieber, B., Gilmore, K., &#38; Seeberger, P. H. (2017). Integrated flow processing
    - challenges in continuous multistep synthesis. <i>Journal of Flow Chemistry</i>.
    AKJournals. <a href="https://doi.org/10.1556/1846.2017.00016">https://doi.org/10.1556/1846.2017.00016</a>
  chicago: Pieber, Bartholomäus, Kerry Gilmore, and Peter H. Seeberger. “Integrated
    Flow Processing - Challenges in Continuous Multistep Synthesis.” <i>Journal of
    Flow Chemistry</i>. AKJournals, 2017. <a href="https://doi.org/10.1556/1846.2017.00016">https://doi.org/10.1556/1846.2017.00016</a>.
  ieee: B. Pieber, K. Gilmore, and P. H. Seeberger, “Integrated flow processing -
    challenges in continuous multistep synthesis,” <i>Journal of Flow Chemistry</i>,
    vol. 7, no. 3–4. AKJournals, pp. 129–136, 2017.
  ista: Pieber B, Gilmore K, Seeberger PH. 2017. Integrated flow processing - challenges
    in continuous multistep synthesis. Journal of Flow Chemistry. 7(3–4), 129–136.
  mla: Pieber, Bartholomäus, et al. “Integrated Flow Processing - Challenges in Continuous
    Multistep Synthesis.” <i>Journal of Flow Chemistry</i>, vol. 7, no. 3–4, AKJournals,
    2017, pp. 129–36, doi:<a href="https://doi.org/10.1556/1846.2017.00016">10.1556/1846.2017.00016</a>.
  short: B. Pieber, K. Gilmore, P.H. Seeberger, Journal of Flow Chemistry 7 (2017)
    129–136.
date_created: 2022-08-25T10:47:51Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2023-02-21T10:10:02Z
day: '01'
doi: 10.1556/1846.2017.00016
extern: '1'
intvolume: '         7'
issue: 3-4
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1556/1846.2017.00016
month: '09'
oa: 1
oa_version: Published Version
page: 129-136
publication: Journal of Flow Chemistry
publication_identifier:
  eissn:
  - 2063-0212
  issn:
  - 2062-249X
publication_status: published
publisher: AKJournals
quality_controlled: '1'
scopus_import: '1'
status: public
title: Integrated flow processing - challenges in continuous multistep synthesis
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2017'
...
---
_id: '1199'
abstract:
- lang: eng
  text: Much of quantitative genetics is based on the ‘infinitesimal model’, under
    which selection has a negligible effect on the genetic variance. This is typically
    justified by assuming a very large number of loci with additive effects. However,
    it applies even when genes interact, provided that the number of loci is large
    enough that selection on each of them is weak relative to random drift. In the
    long term, directional selection will change allele frequencies, but even then,
    the effects of epistasis on the ultimate change in trait mean due to selection
    may be modest. Stabilising selection can maintain many traits close to their optima,
    even when the underlying alleles are weakly selected. However, the number of traits
    that can be optimised is apparently limited to ~4Ne by the ‘drift load’, and this
    is hard to reconcile with the apparent complexity of many organisms. Just as for
    the mutation load, this limit can be evaded by a particular form of negative epistasis.
    A more robust limit is set by the variance in reproductive success. This suggests
    that selection accumulates information most efficiently in the infinitesimal regime,
    when selection on individual alleles is weak, and comparable with random drift.
    A review of evidence on selection strength suggests that although most variance
    in fitness may be because of alleles with large Nes, substantial amounts of adaptation
    may be because of alleles in the infinitesimal regime, in which epistasis has
    modest effects.
article_processing_charge: No
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
citation:
  ama: Barton NH. How does epistasis influence the response to selection? <i>Heredity</i>.
    2017;118:96-109. doi:<a href="https://doi.org/10.1038/hdy.2016.109">10.1038/hdy.2016.109</a>
  apa: Barton, N. H. (2017). How does epistasis influence the response to selection?
    <i>Heredity</i>. Nature Publishing Group. <a href="https://doi.org/10.1038/hdy.2016.109">https://doi.org/10.1038/hdy.2016.109</a>
  chicago: Barton, Nicholas H. “How Does Epistasis Influence the Response to Selection?”
    <i>Heredity</i>. Nature Publishing Group, 2017. <a href="https://doi.org/10.1038/hdy.2016.109">https://doi.org/10.1038/hdy.2016.109</a>.
  ieee: N. H. Barton, “How does epistasis influence the response to selection?,” <i>Heredity</i>,
    vol. 118. Nature Publishing Group, pp. 96–109, 2017.
  ista: Barton NH. 2017. How does epistasis influence the response to selection? Heredity.
    118, 96–109.
  mla: Barton, Nicholas H. “How Does Epistasis Influence the Response to Selection?”
    <i>Heredity</i>, vol. 118, Nature Publishing Group, 2017, pp. 96–109, doi:<a href="https://doi.org/10.1038/hdy.2016.109">10.1038/hdy.2016.109</a>.
  short: N.H. Barton, Heredity 118 (2017) 96–109.
date_created: 2018-12-11T11:50:40Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2025-04-15T07:11:02Z
day: '01'
department:
- _id: NiBa
doi: 10.1038/hdy.2016.109
ec_funded: 1
external_id:
  isi:
  - '000392229100011'
intvolume: '       118'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5176114/
month: '01'
oa: 1
oa_version: Submitted Version
page: 96 - 109
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
publication: Heredity
publication_status: published
publisher: Nature Publishing Group
publist_id: '6151'
quality_controlled: '1'
related_material:
  record:
  - id: '9710'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: How does epistasis influence the response to selection?
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 118
year: '2017'
...
---
_id: '1207'
abstract:
- lang: eng
  text: The eigenvalue distribution of the sum of two large Hermitian matrices, when
    one of them is conjugated by a Haar distributed unitary matrix, is asymptotically
    given by the free convolution of their spectral distributions. We prove that this
    convergence also holds locally in the bulk of the spectrum, down to the optimal
    scales larger than the eigenvalue spacing. The corresponding eigenvectors are
    fully delocalized. Similar results hold for the sum of two real symmetric matrices,
    when one is conjugated by Haar orthogonal matrix.
article_processing_charge: Yes (via OA deal)
author:
- first_name: Zhigang
  full_name: Bao, Zhigang
  id: 442E6A6C-F248-11E8-B48F-1D18A9856A87
  last_name: Bao
  orcid: 0000-0003-3036-1475
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Kevin
  full_name: Schnelli, Kevin
  id: 434AD0AE-F248-11E8-B48F-1D18A9856A87
  last_name: Schnelli
  orcid: 0000-0003-0954-3231
citation:
  ama: Bao Z, Erdös L, Schnelli K. Local law of addition of random matrices on optimal
    scale. <i>Communications in Mathematical Physics</i>. 2017;349(3):947-990. doi:<a
    href="https://doi.org/10.1007/s00220-016-2805-6">10.1007/s00220-016-2805-6</a>
  apa: Bao, Z., Erdös, L., &#38; Schnelli, K. (2017). Local law of addition of random
    matrices on optimal scale. <i>Communications in Mathematical Physics</i>. Springer.
    <a href="https://doi.org/10.1007/s00220-016-2805-6">https://doi.org/10.1007/s00220-016-2805-6</a>
  chicago: Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Law of Addition
    of Random Matrices on Optimal Scale.” <i>Communications in Mathematical Physics</i>.
    Springer, 2017. <a href="https://doi.org/10.1007/s00220-016-2805-6">https://doi.org/10.1007/s00220-016-2805-6</a>.
  ieee: Z. Bao, L. Erdös, and K. Schnelli, “Local law of addition of random matrices
    on optimal scale,” <i>Communications in Mathematical Physics</i>, vol. 349, no.
    3. Springer, pp. 947–990, 2017.
  ista: Bao Z, Erdös L, Schnelli K. 2017. Local law of addition of random matrices
    on optimal scale. Communications in Mathematical Physics. 349(3), 947–990.
  mla: Bao, Zhigang, et al. “Local Law of Addition of Random Matrices on Optimal Scale.”
    <i>Communications in Mathematical Physics</i>, vol. 349, no. 3, Springer, 2017,
    pp. 947–90, doi:<a href="https://doi.org/10.1007/s00220-016-2805-6">10.1007/s00220-016-2805-6</a>.
  short: Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349
    (2017) 947–990.
date_created: 2018-12-11T11:50:43Z
date_published: 2017-02-01T00:00:00Z
date_updated: 2025-07-10T11:50:22Z
day: '01'
ddc:
- '530'
department:
- _id: LaEr
doi: 10.1007/s00220-016-2805-6
ec_funded: 1
external_id:
  isi:
  - '000393696700005'
file:
- access_level: open_access
  checksum: ddff79154c3daf27237de5383b1264a9
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:47Z
  date_updated: 2020-07-14T12:44:39Z
  file_id: '5102'
  file_name: IST-2016-722-v1+1_s00220-016-2805-6.pdf
  file_size: 1033743
  relation: main_file
file_date_updated: 2020-07-14T12:44:39Z
has_accepted_license: '1'
intvolume: '       349'
isi: 1
issue: '3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '02'
oa: 1
oa_version: Published Version
page: 947 - 990
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '338804'
  name: Random matrices, universality and disordered quantum systems
publication: Communications in Mathematical Physics
publication_identifier:
  issn:
  - 0010-3616
publication_status: published
publisher: Springer
publist_id: '6141'
pubrep_id: '722'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Local law of addition of random matrices on optimal scale
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: 349
year: '2017'
...
---
_id: '1208'
abstract:
- lang: eng
  text: We study parameter estimation in linear Gaussian covariance models, which
    are p-dimensional Gaussian models with linear constraints on the covariance matrix.
    Maximum likelihood estimation for this class of models leads to a non-convex optimization
    problem which typically has many local maxima. Using recent results on the asymptotic
    distribution of extreme eigenvalues of the Wishart distribution, we provide sufficient
    conditions for any hill climbing method to converge to the global maximum. Although
    we are primarily interested in the case in which n≫p, the proofs of our results
    utilize large sample asymptotic theory under the scheme n/p→γ&gt;1. Remarkably,
    our numerical simulations indicate that our results remain valid for p as small
    as 2. An important consequence of this analysis is that, for sample sizes n≃14p,
    maximum likelihood estimation for linear Gaussian covariance models behaves as
    if it were a convex optimization problem. © 2016 The Royal Statistical Society
    and Blackwell Publishing Ltd.
article_processing_charge: No
arxiv: 1
author:
- first_name: Piotr
  full_name: Zwiernik, Piotr
  last_name: Zwiernik
- first_name: Caroline
  full_name: Uhler, Caroline
  id: 49ADD78E-F248-11E8-B48F-1D18A9856A87
  last_name: Uhler
  orcid: 0000-0002-7008-0216
- first_name: Donald
  full_name: Richards, Donald
  last_name: Richards
citation:
  ama: 'Zwiernik P, Uhler C, Richards D. Maximum likelihood estimation for linear
    Gaussian covariance models. <i>Journal of the Royal Statistical Society Series
    B: Statistical Methodology</i>. 2017;79(4):1269-1292. doi:<a href="https://doi.org/10.1111/rssb.12217">10.1111/rssb.12217</a>'
  apa: 'Zwiernik, P., Uhler, C., &#38; Richards, D. (2017). Maximum likelihood estimation
    for linear Gaussian covariance models. <i>Journal of the Royal Statistical Society.
    Series B: Statistical Methodology</i>. Wiley-Blackwell. <a href="https://doi.org/10.1111/rssb.12217">https://doi.org/10.1111/rssb.12217</a>'
  chicago: 'Zwiernik, Piotr, Caroline Uhler, and Donald Richards. “Maximum Likelihood
    Estimation for Linear Gaussian Covariance Models.” <i>Journal of the Royal Statistical
    Society. Series B: Statistical Methodology</i>. Wiley-Blackwell, 2017. <a href="https://doi.org/10.1111/rssb.12217">https://doi.org/10.1111/rssb.12217</a>.'
  ieee: 'P. Zwiernik, C. Uhler, and D. Richards, “Maximum likelihood estimation for
    linear Gaussian covariance models,” <i>Journal of the Royal Statistical Society.
    Series B: Statistical Methodology</i>, vol. 79, no. 4. Wiley-Blackwell, pp. 1269–1292,
    2017.'
  ista: 'Zwiernik P, Uhler C, Richards D. 2017. Maximum likelihood estimation for
    linear Gaussian covariance models. Journal of the Royal Statistical Society. Series
    B: Statistical Methodology. 79(4), 1269–1292.'
  mla: 'Zwiernik, Piotr, et al. “Maximum Likelihood Estimation for Linear Gaussian
    Covariance Models.” <i>Journal of the Royal Statistical Society. Series B: Statistical
    Methodology</i>, vol. 79, no. 4, Wiley-Blackwell, 2017, pp. 1269–92, doi:<a href="https://doi.org/10.1111/rssb.12217">10.1111/rssb.12217</a>.'
  short: 'P. Zwiernik, C. Uhler, D. Richards, Journal of the Royal Statistical Society.
    Series B: Statistical Methodology 79 (2017) 1269–1292.'
corr_author: '1'
date_created: 2018-12-11T11:50:43Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2025-06-04T09:41:22Z
day: '01'
department:
- _id: CaUh
doi: 10.1111/rssb.12217
external_id:
  arxiv:
  - '1408.5604'
  isi:
  - '000411712300012'
intvolume: '        79'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1408.5604
month: '09'
oa: 1
oa_version: Submitted Version
page: 1269 - 1292
project:
- _id: 2530CA10-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Y 903-N35
  name: 'Gaussian Graphical Models: Theory and Applications'
publication: 'Journal of the Royal Statistical Society. Series B: Statistical Methodology'
publication_identifier:
  issn:
  - 1369-7412
publication_status: published
publisher: Wiley-Blackwell
publist_id: '6142'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Maximum likelihood estimation for linear Gaussian covariance models
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 79
year: '2017'
...
---
_id: '1211'
abstract:
- lang: eng
  text: Systems such as fluid flows in channels and pipes or the complex Ginzburg–Landau
    system, defined over periodic domains, exhibit both continuous symmetries, translational
    and rotational, as well as discrete symmetries under spatial reflections or complex
    conjugation. The simplest, and very common symmetry of this type is the equivariance
    of the defining equations under the orthogonal group O(2). We formulate a novel
    symmetry reduction scheme for such systems by combining the method of slices with
    invariant polynomial methods, and show how it works by applying it to the Kuramoto–Sivashinsky
    system in one spatial dimension. As an example, we track a relative periodic orbit
    through a sequence of bifurcations to the onset of chaos. Within the symmetry-reduced
    state space we are able to compute and visualize the unstable manifolds of relative
    periodic orbits, their torus bifurcations, a transition to chaos via torus breakdown,
    and heteroclinic connections between various relative periodic orbits. It would
    be very hard to carry through such analysis in the full state space, without a
    symmetry reduction such as the one we present here.
acknowledgement: 'This work was supported by the family of late G. Robinson, Jr. and
  NSF Grant DMS-1211827. '
article_processing_charge: No
author:
- first_name: Nazmi B
  full_name: Budanur, Nazmi B
  id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
  last_name: Budanur
  orcid: 0000-0003-0423-5010
- first_name: Predrag
  full_name: Cvitanović, Predrag
  last_name: Cvitanović
citation:
  ama: Budanur NB, Cvitanović P. Unstable manifolds of relative periodic orbits in
    the symmetry reduced state space of the Kuramoto–Sivashinsky system. <i>Journal
    of Statistical Physics</i>. 2017;167(3-4):636-655. doi:<a href="https://doi.org/10.1007/s10955-016-1672-z">10.1007/s10955-016-1672-z</a>
  apa: Budanur, N. B., &#38; Cvitanović, P. (2017). Unstable manifolds of relative
    periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky
    system. <i>Journal of Statistical Physics</i>. Springer. <a href="https://doi.org/10.1007/s10955-016-1672-z">https://doi.org/10.1007/s10955-016-1672-z</a>
  chicago: Budanur, Nazmi B, and Predrag Cvitanović. “Unstable Manifolds of Relative
    Periodic Orbits in the Symmetry Reduced State Space of the Kuramoto–Sivashinsky
    System.” <i>Journal of Statistical Physics</i>. Springer, 2017. <a href="https://doi.org/10.1007/s10955-016-1672-z">https://doi.org/10.1007/s10955-016-1672-z</a>.
  ieee: N. B. Budanur and P. Cvitanović, “Unstable manifolds of relative periodic
    orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system,”
    <i>Journal of Statistical Physics</i>, vol. 167, no. 3–4. Springer, pp. 636–655,
    2017.
  ista: Budanur NB, Cvitanović P. 2017. Unstable manifolds of relative periodic orbits
    in the symmetry reduced state space of the Kuramoto–Sivashinsky system. Journal
    of Statistical Physics. 167(3–4), 636–655.
  mla: Budanur, Nazmi B., and Predrag Cvitanović. “Unstable Manifolds of Relative
    Periodic Orbits in the Symmetry Reduced State Space of the Kuramoto–Sivashinsky
    System.” <i>Journal of Statistical Physics</i>, vol. 167, no. 3–4, Springer, 2017,
    pp. 636–55, doi:<a href="https://doi.org/10.1007/s10955-016-1672-z">10.1007/s10955-016-1672-z</a>.
  short: N.B. Budanur, P. Cvitanović, Journal of Statistical Physics 167 (2017) 636–655.
date_created: 2018-12-11T11:50:44Z
date_published: 2017-05-01T00:00:00Z
date_updated: 2025-09-22T09:36:50Z
day: '01'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1007/s10955-016-1672-z
external_id:
  isi:
  - '000400233600014'
file:
- access_level: open_access
  checksum: 3e971d09eb167761aa0888ed415b0056
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:18:01Z
  date_updated: 2020-07-14T12:44:39Z
  file_id: '5319'
  file_name: IST-2017-782-v1+1_BudCvi15.pdf
  file_size: 2820207
  relation: main_file
file_date_updated: 2020-07-14T12:44:39Z
has_accepted_license: '1'
intvolume: '       167'
isi: 1
issue: 3-4
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
page: 636-655
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '6136'
pubrep_id: '782'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Unstable manifolds of relative periodic orbits in the symmetry reduced state
  space of the Kuramoto–Sivashinsky system
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 167
year: '2017'
...
---
_id: '1213'
abstract:
- lang: eng
  text: Bacterial cytokinesis is commonly initiated by the Z-ring, a dynamic cytoskeletal
    structure that assembles at the site of division. Its primary component is FtsZ,
    a tubulin-like GTPase, that like its eukaryotic relative forms protein filaments
    in the presence of GTP. Since the discovery of the Z-ring 25 years ago, various
    models for the role of FtsZ have been suggested. However, important information
    about the architecture and dynamics of FtsZ filaments during cytokinesis is still
    missing. One reason for this lack of knowledge has been the small size of bacteria,
    which has made it difficult to resolve the orientation and dynamics of individual
    FtsZ filaments in the Z-ring. While superresolution microscopy experiments have
    helped to gain more information about the organization of the Z-ring in the dividing
    cell, they were not yet able to elucidate a mechanism of how FtsZ filaments reorganize
    during assembly and disassembly of the Z-ring. In this chapter, we explain how
    to use an in vitro reconstitution approach to investigate the self-organization
    of FtsZ filaments recruited to a biomimetic lipid bilayer by its membrane anchor
    FtsA. We show how to perform single-molecule experiments to study the behavior
    of individual FtsZ monomers during the constant reorganization of the FtsZ-FtsA
    filament network. We describe how to analyze the dynamics of single molecules
    and explain why this information can help to shed light onto possible mechanism
    of Z-ring constriction. We believe that similar experimental approaches will be
    useful to study the mechanism of membrane-based polymerization of other cytoskeletal
    systems, not only from prokaryotic but also eukaryotic origin.
acknowledged_ssus:
- _id: Bio
acknowledgement: Natalia Baranova is supported by an EMBO Long-Term Fellowship (EMBO
  ALTF 1163-2015) and Martin Loose by an ERC Starting Grant (ERCStG-2015-SelfOrganiCell).
alternative_title:
- Methods in Cell Biology
article_processing_charge: No
author:
- first_name: Natalia
  full_name: Baranova, Natalia
  id: 38661662-F248-11E8-B48F-1D18A9856A87
  last_name: Baranova
  orcid: 0000-0002-3086-9124
- first_name: Martin
  full_name: Loose, Martin
  id: 462D4284-F248-11E8-B48F-1D18A9856A87
  last_name: Loose
  orcid: 0000-0001-7309-9724
citation:
  ama: 'Baranova NS, Loose M. Single-molecule measurements to study polymerization
    dynamics of FtsZ-FtsA copolymers. In: Echard A, ed. <i>Cytokinesis</i>. Vol 137.
    Academic Press; 2017:355-370. doi:<a href="https://doi.org/10.1016/bs.mcb.2016.03.036">10.1016/bs.mcb.2016.03.036</a>'
  apa: Baranova, N. S., &#38; Loose, M. (2017). Single-molecule measurements to study
    polymerization dynamics of FtsZ-FtsA copolymers. In A. Echard (Ed.), <i>Cytokinesis</i>
    (Vol. 137, pp. 355–370). Academic Press. <a href="https://doi.org/10.1016/bs.mcb.2016.03.036">https://doi.org/10.1016/bs.mcb.2016.03.036</a>
  chicago: Baranova, Natalia S., and Martin Loose. “Single-Molecule Measurements to
    Study Polymerization Dynamics of FtsZ-FtsA Copolymers.” In <i>Cytokinesis</i>,
    edited by Arnaud  Echard, 137:355–70. Academic Press, 2017. <a href="https://doi.org/10.1016/bs.mcb.2016.03.036">https://doi.org/10.1016/bs.mcb.2016.03.036</a>.
  ieee: N. S. Baranova and M. Loose, “Single-molecule measurements to study polymerization
    dynamics of FtsZ-FtsA copolymers,” in <i>Cytokinesis</i>, vol. 137, A. Echard,
    Ed. Academic Press, 2017, pp. 355–370.
  ista: 'Baranova NS, Loose M. 2017.Single-molecule measurements to study polymerization
    dynamics of FtsZ-FtsA copolymers. In: Cytokinesis. Methods in Cell Biology, vol.
    137, 355–370.'
  mla: Baranova, Natalia S., and Martin Loose. “Single-Molecule Measurements to Study
    Polymerization Dynamics of FtsZ-FtsA Copolymers.” <i>Cytokinesis</i>, edited by
    Arnaud  Echard, vol. 137, Academic Press, 2017, pp. 355–70, doi:<a href="https://doi.org/10.1016/bs.mcb.2016.03.036">10.1016/bs.mcb.2016.03.036</a>.
  short: N.S. Baranova, M. Loose, in:, A. Echard (Ed.), Cytokinesis, Academic Press,
    2017, pp. 355–370.
date_created: 2018-12-11T11:50:45Z
date_published: 2017-12-01T00:00:00Z
date_updated: 2025-07-10T11:50:24Z
day: '01'
department:
- _id: MaLo
doi: 10.1016/bs.mcb.2016.03.036
ec_funded: 1
editor:
- first_name: 'Arnaud '
  full_name: 'Echard, Arnaud '
  last_name: Echard
external_id:
  isi:
  - '000403542900022'
intvolume: '       137'
isi: 1
language:
- iso: eng
month: '12'
oa_version: None
page: 355 - 370
project:
- _id: 2596EAB6-B435-11E9-9278-68D0E5697425
  grant_number: ALTF 2015-1163
  name: Synthesis of bacterial cell wall
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication: Cytokinesis
publication_identifier:
  issn:
  - 0091-679X
publication_status: published
publisher: Academic Press
publist_id: '6134'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Single-molecule measurements to study polymerization dynamics of FtsZ-FtsA
  copolymers
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 137
year: '2017'
...
---
_id: '265'
abstract:
- lang: eng
  text: We establish the dimension and irreducibility of the moduli space of rational
    curves (of fixed degree) on arbitrary smooth hypersurfaces of sufficiently low
    degree. A spreading out argument reduces the problem to hypersurfaces defined
    over finite fields of large cardinality, which can then be tackled using a function
    field version of the Hardy-Littlewood circle method, in which particular care
    is taken to ensure uniformity in the size of the underlying finite field.
acknowledgement: While working on this paper the first author was supported by ERC
  grant 306457.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Pankaj
  full_name: Vishe, Pankaj
  last_name: Vishe
citation:
  ama: Browning TD, Vishe P. Rational curves on smooth hypersurfaces of low degree.
    <i>Geometric Methods in Algebra and Number Theory</i>. 2017;11(7):1657-1675. doi:<a
    href="https://doi.org/10.2140/ant.2017.11.1657">10.2140/ant.2017.11.1657</a>
  apa: Browning, T. D., &#38; Vishe, P. (2017). Rational curves on smooth hypersurfaces
    of low degree. <i>Geometric Methods in Algebra and Number Theory</i>.  Mathematical
    Sciences Publishers. <a href="https://doi.org/10.2140/ant.2017.11.1657">https://doi.org/10.2140/ant.2017.11.1657</a>
  chicago: Browning, Timothy D, and Pankaj Vishe. “Rational Curves on Smooth Hypersurfaces
    of Low Degree.” <i>Geometric Methods in Algebra and Number Theory</i>.  Mathematical
    Sciences Publishers, 2017. <a href="https://doi.org/10.2140/ant.2017.11.1657">https://doi.org/10.2140/ant.2017.11.1657</a>.
  ieee: T. D. Browning and P. Vishe, “Rational curves on smooth hypersurfaces of low
    degree,” <i>Geometric Methods in Algebra and Number Theory</i>, vol. 11, no. 7.  Mathematical
    Sciences Publishers, pp. 1657–1675, 2017.
  ista: Browning TD, Vishe P. 2017. Rational curves on smooth hypersurfaces of low
    degree. Geometric Methods in Algebra and Number Theory. 11(7), 1657–1675.
  mla: Browning, Timothy D., and Pankaj Vishe. “Rational Curves on Smooth Hypersurfaces
    of Low Degree.” <i>Geometric Methods in Algebra and Number Theory</i>, vol. 11,
    no. 7,  Mathematical Sciences Publishers, 2017, pp. 1657–75, doi:<a href="https://doi.org/10.2140/ant.2017.11.1657">10.2140/ant.2017.11.1657</a>.
  short: T.D. Browning, P. Vishe, Geometric Methods in Algebra and Number Theory 11
    (2017) 1657–1675.
corr_author: '1'
date_created: 2018-12-11T11:45:30Z
date_published: 2017-09-07T00:00:00Z
date_updated: 2024-10-09T20:58:17Z
day: '07'
doi: 10.2140/ant.2017.11.1657
extern: '1'
external_id:
  arxiv:
  - '1611.00553'
intvolume: '        11'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1611.00553
month: '09'
oa: 1
oa_version: Preprint
page: 1657 - 1675
publication: Geometric Methods in Algebra and Number Theory
publication_identifier:
  eissn:
  - 1944-7833
publication_status: published
publisher: ' Mathematical Sciences Publishers'
publist_id: '7637'
quality_controlled: '1'
status: public
title: Rational curves on smooth hypersurfaces of low degree
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2017'
...
---
_id: '266'
abstract:
- lang: eng
  text: We generalise Birch's seminal work on forms in many variables to handle a
    system of forms in which the degrees need not all be the same. This allows us
    to prove the Hasse principle, weak approximation, and the Manin-Peyre conjecture
    for a smooth and geometrically integral variety X Pm, provided only that its dimension
    is large enough in terms of its degree.
acknowledgement: While working on this paper the first author was supported by ERC
  grant 306457.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Roger
  full_name: Heath Brown, Roger
  last_name: Heath Brown
citation:
  ama: Browning TD, Heath Brown R. Forms in many variables and differing degrees.
    <i>Journal of the European Mathematical Society</i>. 2017;19(2):357-394. doi:<a
    href="https://doi.org/10.4171/JEMS/668">10.4171/JEMS/668</a>
  apa: Browning, T. D., &#38; Heath Brown, R. (2017). Forms in many variables and
    differing degrees. <i>Journal of the European Mathematical Society</i>. European
    Mathematical Society Publishing House. <a href="https://doi.org/10.4171/JEMS/668">https://doi.org/10.4171/JEMS/668</a>
  chicago: Browning, Timothy D, and Roger Heath Brown. “Forms in Many Variables and
    Differing Degrees.” <i>Journal of the European Mathematical Society</i>. European
    Mathematical Society Publishing House, 2017. <a href="https://doi.org/10.4171/JEMS/668">https://doi.org/10.4171/JEMS/668</a>.
  ieee: T. D. Browning and R. Heath Brown, “Forms in many variables and differing
    degrees,” <i>Journal of the European Mathematical Society</i>, vol. 19, no. 2.
    European Mathematical Society Publishing House, pp. 357–394, 2017.
  ista: Browning TD, Heath Brown R. 2017. Forms in many variables and differing degrees.
    Journal of the European Mathematical Society. 19(2), 357–394.
  mla: Browning, Timothy D., and Roger Heath Brown. “Forms in Many Variables and Differing
    Degrees.” <i>Journal of the European Mathematical Society</i>, vol. 19, no. 2,
    European Mathematical Society Publishing House, 2017, pp. 357–94, doi:<a href="https://doi.org/10.4171/JEMS/668">10.4171/JEMS/668</a>.
  short: T.D. Browning, R. Heath Brown, Journal of the European Mathematical Society
    19 (2017) 357–394.
corr_author: '1'
date_created: 2018-12-11T11:45:31Z
date_published: 2017-01-26T00:00:00Z
date_updated: 2024-10-09T20:58:17Z
day: '26'
doi: 10.4171/JEMS/668
extern: '1'
external_id:
  arxiv:
  - '1403.5937'
intvolume: '        19'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1403.5937
month: '01'
oa: 1
oa_version: Preprint
page: 357 - 394
publication: Journal of the European Mathematical Society
publication_status: published
publisher: European Mathematical Society Publishing House
publist_id: '7636'
quality_controlled: '1'
status: public
title: Forms in many variables and differing degrees
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2017'
...
---
_id: '267'
abstract:
- lang: eng
  text: Building on recent work of Bhargava, Elkies and Schnidman and of Kriz and
    Li, we produce infinitely many smooth cubic surfaces defined over the field of
    rational numbers that contain rational points.
acknowledgement: While working on this paper the author was supported by ERC grant
  306457.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: Browning TD. Many cubic surfaces contain rational points. <i>Mathematika</i>.
    2017;63(3):818-839. doi:<a href="https://doi.org/10.1112/S0025579317000195">10.1112/S0025579317000195</a>
  apa: Browning, T. D. (2017). Many cubic surfaces contain rational points. <i>Mathematika</i>.
    Cambridge University Press. <a href="https://doi.org/10.1112/S0025579317000195">https://doi.org/10.1112/S0025579317000195</a>
  chicago: Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.” <i>Mathematika</i>.
    Cambridge University Press, 2017. <a href="https://doi.org/10.1112/S0025579317000195">https://doi.org/10.1112/S0025579317000195</a>.
  ieee: T. D. Browning, “Many cubic surfaces contain rational points,” <i>Mathematika</i>,
    vol. 63, no. 3. Cambridge University Press, pp. 818–839, 2017.
  ista: Browning TD. 2017. Many cubic surfaces contain rational points. Mathematika.
    63(3), 818–839.
  mla: Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.” <i>Mathematika</i>,
    vol. 63, no. 3, Cambridge University Press, 2017, pp. 818–39, doi:<a href="https://doi.org/10.1112/S0025579317000195">10.1112/S0025579317000195</a>.
  short: T.D. Browning, Mathematika 63 (2017) 818–839.
corr_author: '1'
date_created: 2018-12-11T11:45:31Z
date_published: 2017-11-29T00:00:00Z
date_updated: 2024-10-09T20:58:16Z
day: '29'
doi: 10.1112/S0025579317000195
extern: '1'
external_id:
  arxiv:
  - '1701.00525'
intvolume: '        63'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1701.00525
month: '11'
oa: 1
oa_version: Preprint
page: 818 - 839
publication: Mathematika
publication_identifier:
  issn:
  - 0025-5793
publication_status: published
publisher: Cambridge University Press
publist_id: '7635'
quality_controlled: '1'
status: public
title: Many cubic surfaces contain rational points
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 63
year: '2017'
...
