---
OA_place: repository
OA_type: green
_id: '22074'
abstract:
- lang: eng
text: We discuss how countable subadditivity of operators can be derived from subadditivity
under mild forms of continuity, and provide examples manifesting such circumstances.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Loukas
full_name: Grafakos, Loukas
last_name: Grafakos
- first_name: Monica
full_name: Visan, Monica
id: 056daca0-b8d1-11f0-964f-f91054abf8ca
last_name: Visan
citation:
ama: 'Grafakos L, Vişan M. Remarks on countable subadditivity. Proceedings of
the Royal Society of Edinburgh: Section A Mathematics. 2024;154(5):1504-1517.
doi:10.1017/prm.2023.77'
apa: 'Grafakos, L., & Vişan, M. (2024). Remarks on countable subadditivity.
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Cambridge
University Press. https://doi.org/10.1017/prm.2023.77'
chicago: 'Grafakos, Loukas, and Monica Vişan. “Remarks on Countable Subadditivity.”
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Cambridge
University Press, 2024. https://doi.org/10.1017/prm.2023.77.'
ieee: 'L. Grafakos and M. Vişan, “Remarks on countable subadditivity,” Proceedings
of the Royal Society of Edinburgh: Section A Mathematics, vol. 154, no. 5.
Cambridge University Press, pp. 1504–1517, 2024.'
ista: 'Grafakos L, Vişan M. 2024. Remarks on countable subadditivity. Proceedings
of the Royal Society of Edinburgh: Section A Mathematics. 154(5), 1504–1517.'
mla: 'Grafakos, Loukas, and Monica Vişan. “Remarks on Countable Subadditivity.”
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.
154, no. 5, Cambridge University Press, 2024, pp. 1504–17, doi:10.1017/prm.2023.77.'
short: 'L. Grafakos, M. Vişan, Proceedings of the Royal Society of Edinburgh: Section
A Mathematics 154 (2024) 1504–1517.'
das_tickbox: '1'
date_created: 2026-06-19T08:22:51Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-06-30T11:03:28Z
day: '01'
doi: 10.1017/prm.2023.77
extern: '1'
external_id:
arxiv:
- '2304.07831'
fulldoi: https://doi.org/10.1017/prm.2023.77
intvolume: ' 154'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2304.07831
month: '10'
oa: 1
oa_version: Preprint
page: 1504-1517
publication: 'Proceedings of the Royal Society of Edinburgh: Section A Mathematics'
publication_identifier:
eissn:
- 1473-7124
issn:
- 0308-2105
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Remarks on countable subadditivity
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 154
year: '2024'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22079'
abstract:
- lang: eng
text: 'We prove that the cubic nonlinear Schrödinger equation (both focusing and
defocusing) is globally well-posed in H^s(R) for any regularity s > −1/2. Well-posedness
has long been known for s ≥ 0, see [55], but not previously for any s < 0. The
scaling-critical value s = −1/2 is necessarily excluded here, since instantaneous
norm inflation is known to occur [11, 40, 48]. We also prove (in a parallel fashion)
well-posedness of the real- and complex-valued modified Korteweg–de Vries equations
in H^s(R) for any s > −1/2. The best regularity achieved previously was s ≥ 1/4
(see [15, 24, 33, 39]). To overcome the failure of uniform continuity of the data-to-solution
map, we employ the method of commuting flows introduced in [37]. In stark contrast
with our arguments in [37], an essential ingredient in this paper is the demonstration
of a local smoothing effect for both equations. Despite the nonperturbative nature
of the well-posedness, the gain of derivatives matches that of the underlying
linear equation. To compensate for the local nature of the smoothing estimates,
we also demonstrate tightness of orbits. The proofs of both local smoothing and
tightness rely on our discovery of a new one-parameter family of coercive microscopic
conservation laws that remain meaningful at this low regularity. '
article_number: e6
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Benjamin
full_name: Harrop-Griffiths, Benjamin
last_name: Harrop-Griffiths
- first_name: Rowan
full_name: Killip, Rowan
last_name: Killip
- first_name: Monica
full_name: Visan, Monica
id: 056daca0-b8d1-11f0-964f-f91054abf8ca
last_name: Visan
citation:
ama: Harrop-Griffiths B, Killip R, Vişan M. Sharp well-posedness for the cubic NLS
and mKdV in H^s(R). Forum of Mathematics, Pi. 2024;12. doi:10.1017/fmp.2024.4
apa: Harrop-Griffiths, B., Killip, R., & Vişan, M. (2024). Sharp well-posedness
for the cubic NLS and mKdV in H^s(R). Forum of Mathematics, Pi. Cambridge
University Press. https://doi.org/10.1017/fmp.2024.4
chicago: Harrop-Griffiths, Benjamin, Rowan Killip, and Monica Vişan. “Sharp Well-Posedness
for the Cubic NLS and MKdV in H^s(R).” Forum of Mathematics, Pi. Cambridge
University Press, 2024. https://doi.org/10.1017/fmp.2024.4.
ieee: B. Harrop-Griffiths, R. Killip, and M. Vişan, “Sharp well-posedness for the
cubic NLS and mKdV in H^s(R),” Forum of Mathematics, Pi, vol. 12. Cambridge
University Press, 2024.
ista: Harrop-Griffiths B, Killip R, Vişan M. 2024. Sharp well-posedness for the
cubic NLS and mKdV in H^s(R). Forum of Mathematics, Pi. 12, e6.
mla: Harrop-Griffiths, Benjamin, et al. “Sharp Well-Posedness for the Cubic NLS
and MKdV in H^s(R).” Forum of Mathematics, Pi, vol. 12, e6, Cambridge University
Press, 2024, doi:10.1017/fmp.2024.4.
short: B. Harrop-Griffiths, R. Killip, M. Vişan, Forum of Mathematics, Pi 12 (2024).
das_tickbox: '1'
date_created: 2026-06-19T08:26:10Z
date_published: 2024-04-02T00:00:00Z
date_updated: 2026-06-30T12:16:50Z
day: '02'
ddc:
- '500'
doi: 10.1017/fmp.2024.4
extern: '1'
external_id:
arxiv:
- '2003.05011'
fulldoi: https://doi.org/10.1017/fmp.2024.4
has_accepted_license: '1'
intvolume: ' 12'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1017/fmp.2024.4
mathsc:
- 35Q55
- 35Q53
- 37K10
month: '04'
oa: 1
oa_version: Published Version
publication: Forum of Mathematics, Pi
publication_identifier:
eissn:
- 2050-5086
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sharp well-posedness for the cubic NLS and mKdV in H^s(R)
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: 12
year: '2024'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22123'
abstract:
- lang: eng
text: Frontal ablation is responsible for a large fraction of the mass loss from
tidewater glaciers. The main contributors to frontal ablation are iceberg calving
and submarine melting, with calving often being the largest. However, submarine
melting, in addition to its direct contribution to mass loss, also promotes calving
through the changes induced in the stress field at the glacier terminus, so both
processes should be jointly analysed. Among the factors influencing submarine
melting, the formation of a buoyant plume due to the emergence of fresh subglacial
water at the glacier grounding line plays a key role. In this study we used Elmer/Ice
to develop a 3D glacier dynamics model including calving and subglacial hydrology
coupled with a line plume model to calculate the calving front position at every
time step. We applied this model to the Hansbreen–Hansbukta glacier–fjord system
in southern Spitsbergen, Svalbard, where a large set of data are available for
both the glacier and the fjord from September 2008 to March 2011. We found that
our 3D model reproduced the expected seasonal cycle of advance–retreat. Besides,
the modelled front positions were in good agreement with the observed front positions
at the central part of the calving front, with longitudinal differences, on average,
below 15 m for the period from December 2009 to March 2011. But there were regions
of the front, especially the eastern margin, that presented major differences.
article_processing_charge: Yes
article_type: original
author:
- first_name: José M
full_name: Muñoz Hermosilla, José M
id: e1037a6d-646e-11ef-b402-e0ed9ab0901e
last_name: Muñoz Hermosilla
orcid: 0000-0002-1990-8508
- first_name: Jaime
full_name: Otero, Jaime
last_name: Otero
- first_name: Eva
full_name: De Andrés, Eva
last_name: De Andrés
- first_name: Kaian
full_name: Shahateet, Kaian
last_name: Shahateet
- first_name: Francisco
full_name: Navarro, Francisco
last_name: Navarro
- first_name: Iván
full_name: Pérez-Doña, Iván
last_name: Pérez-Doña
citation:
ama: Muñoz Hermosilla JM, Otero J, De Andrés E, Shahateet K, Navarro F, Pérez-Doña
I. A 3D glacier dynamics–line plume model to estimate the frontal ablation of
Hansbreen, Svalbard. The Cryosphere. 2024;18(4):1911-1924. doi:10.5194/tc-18-1911-2024
apa: Muñoz Hermosilla, J. M., Otero, J., De Andrés, E., Shahateet, K., Navarro,
F., & Pérez-Doña, I. (2024). A 3D glacier dynamics–line plume model to estimate
the frontal ablation of Hansbreen, Svalbard. The Cryosphere. Copernicus
Publications. https://doi.org/10.5194/tc-18-1911-2024
chicago: Muñoz Hermosilla, José M, Jaime Otero, Eva De Andrés, Kaian Shahateet,
Francisco Navarro, and Iván Pérez-Doña. “A 3D Glacier Dynamics–Line Plume Model
to Estimate the Frontal Ablation of Hansbreen, Svalbard.” The Cryosphere.
Copernicus Publications, 2024. https://doi.org/10.5194/tc-18-1911-2024.
ieee: J. M. Muñoz Hermosilla, J. Otero, E. De Andrés, K. Shahateet, F. Navarro,
and I. Pérez-Doña, “A 3D glacier dynamics–line plume model to estimate the frontal
ablation of Hansbreen, Svalbard,” The Cryosphere, vol. 18, no. 4. Copernicus
Publications, pp. 1911–1924, 2024.
ista: Muñoz Hermosilla JM, Otero J, De Andrés E, Shahateet K, Navarro F, Pérez-Doña
I. 2024. A 3D glacier dynamics–line plume model to estimate the frontal ablation
of Hansbreen, Svalbard. The Cryosphere. 18(4), 1911–1924.
mla: Muñoz Hermosilla, José M., et al. “A 3D Glacier Dynamics–Line Plume Model to
Estimate the Frontal Ablation of Hansbreen, Svalbard.” The Cryosphere,
vol. 18, no. 4, Copernicus Publications, 2024, pp. 1911–24, doi:10.5194/tc-18-1911-2024.
short: J.M. Muñoz Hermosilla, J. Otero, E. De Andrés, K. Shahateet, F. Navarro,
I. Pérez-Doña, The Cryosphere 18 (2024) 1911–1924.
das_tickbox: '1'
date_created: 2026-06-22T12:18:27Z
date_published: 2024-04-23T00:00:00Z
date_updated: 2026-07-02T07:13:15Z
day: '23'
ddc:
- '550'
doi: 10.5194/tc-18-1911-2024
extern: '1'
fulldoi: https://doi.org/10.5194/tc-18-1911-2024
has_accepted_license: '1'
intvolume: ' 18'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.5194/tc-18-1911-2024
month: '04'
oa: 1
oa_version: Published Version
page: 1911-1924
publication: The Cryosphere
publication_identifier:
eissn:
- 1994-0424
publication_status: published
publisher: Copernicus Publications
quality_controlled: '1'
related_material:
record:
- id: '22125'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: A 3D glacier dynamics–line plume model to estimate the frontal ablation of
Hansbreen, Svalbard
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: 18
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '20701'
abstract:
- lang: eng
text: "A Proof of Exponentiation (PoE) allows a prover to efficiently convince a
verifier that \U0001D466 = \U0001D465\r\n\U0001D452\r\nin some group of unknown
order. PoEs\r\nare the basis for practical constructions of Verifiable Delay Functions
(VDFs), which, in turn, are important for various higher-level\r\nprotocols in
distributed computing. In applications such as distributed consensus, many PoEs
are generated regularly, motivating\r\nprotocols for secure aggregation of batches
of statements into a\r\nfew statements to improve the efficiency for both parties.
Rotem\r\n(TCC 2021) recently presented two such generic batch PoEs.\r\nIn this
work, we introduce two batch PoEs that outperform\r\nboth proposals of Rotem and
we evaluate their practicality. First,\r\nwe show that the two batch PoEs of Rotem
can be combined to\r\nimprove the overall efficiency by at least a factor of two.
Second, we\r\nrevisit the work of Bellare, Garay, and Rabin (EUROCRYPT 1998)\r\non
batch verification of digital signatures and show that, under the\r\nlow order
assumption, their bucket test can be securely adapted to\r\nthe setting of groups
of unknown order. The resulting batch PoE\r\nquickly outperforms the state of
the art in the expected number of\r\ngroup multiplications with the growing number
of instances, and it\r\ndecreases the cost of batching by an order of magnitude
already for\r\nhundreds of thousands of instances. Importantly, it is the first
batch\r\nPoE that significantly decreases both the proof size and complexity\r\nof
verification. Our experimental evaluations show that even a nonoptimized implementation
achieves such improvements, which\r\nwould match the demands of real-life systems
requiring large-scale\r\nPoE processing.\r\nFinally, even though our proof techniques
are conceptually similar to Rotem, we give an improved analysis of the application
of the\r\nlow order assumption towards secure batching of PoE instances,\r\nresulting
in a tight reduction, which is important when setting the\r\nsecurity parameter
in practice."
acknowledgement: Pavel Hubáček was supported by the Institute of Mathematics, Czech
Academy of Sciences (RVO 67985840).
article_number: 2024/145
article_processing_charge: No
author:
- first_name: Charlotte
full_name: Hoffmann, Charlotte
id: 0f78d746-dc7d-11ea-9b2f-83f92091afe7
last_name: Hoffmann
orcid: 0000-0003-2027-5549
- first_name: Pavel
full_name: Hubáček, Pavel
last_name: Hubáček
- first_name: Svetlana
full_name: Ivanova, Svetlana
last_name: Ivanova
citation:
ama: Hoffmann C, Hubáček P, Ivanova S. Practical batch proofs of exponentiation.
Cryptology ePrint Archive.
apa: Hoffmann, C., Hubáček, P., & Ivanova, S. (n.d.). Practical batch proofs
of exponentiation. Cryptology ePrint Archive. International Association
for Cryptologic Research.
chicago: Hoffmann, Charlotte, Pavel Hubáček, and Svetlana Ivanova. “Practical Batch
Proofs of Exponentiation.” Cryptology EPrint Archive. International Association
for Cryptologic Research, n.d.
ieee: C. Hoffmann, P. Hubáček, and S. Ivanova, “Practical batch proofs of exponentiation,”
Cryptology ePrint Archive. International Association for Cryptologic Research.
ista: Hoffmann C, Hubáček P, Ivanova S. Practical batch proofs of exponentiation.
Cryptology ePrint Archive, 2024/145.
mla: Hoffmann, Charlotte, et al. “Practical Batch Proofs of Exponentiation.” Cryptology
EPrint Archive, 2024/145, International Association for Cryptologic Research.
short: C. Hoffmann, P. Hubáček, S. Ivanova, Cryptology EPrint Archive (n.d.).
corr_author: '1'
cryptoeprintid: 1
das_tickbox: '1'
date_created: 2025-11-27T10:13:38Z
date_published: 2024-02-02T00:00:00Z
date_updated: 2026-07-06T13:15:28Z
day: '02'
department:
- _id: KrPi
external_id:
cryptoeprintid:
- 2024/145
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://eprint.iacr.org/2024/145
month: '02'
oa: 1
oa_version: Preprint
publication: Cryptology ePrint Archive
publication_status: draft
publisher: International Association for Cryptologic Research
related_material:
record:
- id: '20920'
relation: dissertation_contains
status: public
- id: '20556'
relation: dissertation_contains
status: public
status: public
title: Practical batch proofs of exponentiation
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: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '22154'
abstract:
- lang: eng
text: 'The inertia bound and ratio bound (also known as the Cvetković bound and
Hoffman bound) are two fundamental inequalities in spectral graph theory, giving
upper bounds on the independence number a(G) of a graph G in terms of spectral
information about a weighted adjacency matrix of G. For both inequalities, given
a graph G, one needs to make a judicious choice of weighted adjacency matrix to
obtain as strong a bound as possible. While there is a well‐established theory
surrounding the ratio bound, the inertia bound is much more mysterious, and its
limits are rather unclear. In fact, only recently did Sinkovic find the first
example of a graph for which the inertia bound is not tight (for any weighted
adjacency matrix), answering a longstanding question of Godsil. We show that the
inertia bound can be extremely far from tight, and in fact can significantly underperform
the ratio bound: for example, one of our results is that for infinitely many n,
there is an n‐vertex graph for which even the unweighted ratio bound can prove
a(G)<4n^3/4, but the inertia bound is always at least n/4. In particular, these
results address questions of Rooney, Sinkovic, and Wocjan–Elphick–Abiad.'
acknowledgement: Open access funding provided by Eidgenossische Technische Hochschule
Zurich.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Matthew
full_name: Kwan, Matthew
last_name: Kwan
- first_name: Yuval
full_name: Wigderson, Yuval
id: 2d0023a0-1567-11f0-833d-d5c1e476d4b5
last_name: Wigderson
citation:
ama: Kwan M, Wigderson Y. The inertia bound is far from tight. Bulletin of the
London Mathematical Society. 2024;56(10):3196-3208. doi:10.1112/blms.13127
apa: Kwan, M., & Wigderson, Y. (2024). The inertia bound is far from tight.
Bulletin of the London Mathematical Society. Wiley. https://doi.org/10.1112/blms.13127
chicago: Kwan, Matthew, and Yuval Wigderson. “The Inertia Bound Is Far from Tight.”
Bulletin of the London Mathematical Society. Wiley, 2024. https://doi.org/10.1112/blms.13127.
ieee: M. Kwan and Y. Wigderson, “The inertia bound is far from tight,” Bulletin
of the London Mathematical Society, vol. 56, no. 10. Wiley, pp. 3196–3208,
2024.
ista: Kwan M, Wigderson Y. 2024. The inertia bound is far from tight. Bulletin of
the London Mathematical Society. 56(10), 3196–3208.
mla: Kwan, Matthew, and Yuval Wigderson. “The Inertia Bound Is Far from Tight.”
Bulletin of the London Mathematical Society, vol. 56, no. 10, Wiley, 2024,
pp. 3196–208, doi:10.1112/blms.13127.
short: M. Kwan, Y. Wigderson, Bulletin of the London Mathematical Society 56 (2024)
3196–3208.
date_created: 2026-06-29T10:49:18Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-07-08T07:34:36Z
day: '01'
ddc:
- '500'
doi: 10.1112/blms.13127
extern: '1'
external_id:
arxiv:
- '2312.04925'
fulldoi: https://doi.org/10.1112/blms.13127
intvolume: ' 56'
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1112/blms.13127
month: '10'
oa: 1
oa_version: Published Version
page: 3196-3208
publication: Bulletin of the London Mathematical Society
publication_identifier:
eissn:
- 1469-2120
issn:
- 0024-6093
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: The inertia bound is far from tight
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: 56
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '22179'
abstract:
- lang: eng
text: "Burr and Erd˝os in 1975 conjectured, and Chv´atal, R¨odl, Szemer´edi and\r\nTrotter
later proved, that the Ramsey number of any bounded degree\r\ngraph is linear
in the number of vertices. In this paper, we disprove\r\nthe natural directed
analogue of the Burr–Erd˝os conjecture, answering a\r\nquestion of Buci´c, Letzter,
and Sudakov. If H is an acyclic digraph, the\r\noriented Ramsey number of H, denoted
−→r1(H), is the least N such that\r\nevery tournament on N vertices contains a
copy of H. We show that for\r\nany Δ ≥ 2 and any sufficiently large n, there exists
an acyclic digraph H\r\nwith n vertices and maximum degree Δ such that\r\n−→r1(H)
≥ nΩ(Δ2/3/ log5/3 Δ).\r\nThis proves that −→r1(H) is not always linear in the
number of vertices for\r\nbounded-degree H. On the other hand, we show that −→r1(H)
is nearly linear\r\nin the number of vertices for typical bounded-degree acyclic
digraphs H,\r\nand obtain linear or nearly linear bounds for several natural families
of\r\nbounded-degree acyclic digraphs.\r\nFor multiple colors, we prove a quasi-polynomial
upper bound −→rk(H)=\r\n2(log n)Ok(1) for all bounded-degree acyclic digraphs
H on n vertices, where −→rk(H) is the least N such that every k-edge-colored tournament
on N\r\nvertices contains a monochromatic copy of H. For k ≥ 2 and n ≥ 4, we\r\nexhibit
an acyclic digraph H with n vertices and maximum degree 3 such\r\nthat −→rk(H)
≥ nΩ(log n/ log log n), showing that these Ramsey numbers can\r\ngrow faster than
any polynomial in the number of vertices."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Jacob
full_name: Fox, Jacob
last_name: Fox
- first_name: Xiaoyu
full_name: He, Xiaoyu
last_name: He
- first_name: Yuval
full_name: Wigderson, Yuval
id: 2d0023a0-1567-11f0-833d-d5c1e476d4b5
last_name: Wigderson
citation:
ama: Fox J, He X, Wigderson Y. Ramsey numbers of sparse digraphs. Israel Journal
of Mathematics. 2024;263(1):1-48. doi:10.1007/s11856-024-2624-y
apa: Fox, J., He, X., & Wigderson, Y. (2024). Ramsey numbers of sparse digraphs.
Israel Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s11856-024-2624-y
chicago: Fox, Jacob, Xiaoyu He, and Yuval Wigderson. “Ramsey Numbers of Sparse Digraphs.”
Israel Journal of Mathematics. Springer Nature, 2024. https://doi.org/10.1007/s11856-024-2624-y.
ieee: J. Fox, X. He, and Y. Wigderson, “Ramsey numbers of sparse digraphs,” Israel
Journal of Mathematics, vol. 263, no. 1. Springer Nature, pp. 1–48, 2024.
ista: Fox J, He X, Wigderson Y. 2024. Ramsey numbers of sparse digraphs. Israel
Journal of Mathematics. 263(1), 1–48.
mla: Fox, Jacob, et al. “Ramsey Numbers of Sparse Digraphs.” Israel Journal of
Mathematics, vol. 263, no. 1, Springer Nature, 2024, pp. 1–48, doi:10.1007/s11856-024-2624-y.
short: J. Fox, X. He, Y. Wigderson, Israel Journal of Mathematics 263 (2024) 1–48.
date_created: 2026-06-29T10:59:02Z
date_published: 2024-10-01T00:00:00Z
date_updated: 2026-07-14T09:08:32Z
day: '01'
doi: 10.1007/s11856-024-2624-y
extern: '1'
external_id:
arxiv:
- '2105.02383'
fulldoi: https://doi.org/10.1007/s11856-024-2624-y
intvolume: ' 263'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2105.02383
month: '10'
oa: 1
oa_version: Preprint
page: 1-48
publication: Israel Journal of Mathematics
publication_identifier:
eissn:
- 1565-8511
issn:
- 0021-2172
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ramsey numbers of sparse digraphs
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 263
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '22180'
abstract:
- lang: eng
text: Given a graph , its Ramsey number is the minimum so that every two‐coloring
of contains a monochromatic copy of . It was conjectured by Conlon, Fox, and
Sudakov that if one deletes a single vertex from , the Ramsey number can change
by at most a constant factor. We disprove this conjecture, exhibiting an infinite
family of graphs such that deleting a single vertex from each decreases the Ramsey
number by a super‐constant factor. One consequence of this result is the following.
There exists a family of graphs so that in any Ramsey coloring for (i.e., a
coloring of a clique on vertices with no monochromatic copy of ), one of the
color classes has density .
article_processing_charge: No
article_type: original
author:
- first_name: Yuval
full_name: Wigderson, Yuval
id: 2d0023a0-1567-11f0-833d-d5c1e476d4b5
last_name: Wigderson
citation:
ama: Wigderson Y. Ramsey numbers upon vertex deletion. Journal of Graph Theory.
2024;106(3):663-675. doi:10.1002/jgt.23093
apa: Wigderson, Y. (2024). Ramsey numbers upon vertex deletion. Journal of Graph
Theory. Wiley. https://doi.org/10.1002/jgt.23093
chicago: Wigderson, Yuval. “Ramsey Numbers upon Vertex Deletion.” Journal of
Graph Theory. Wiley, 2024. https://doi.org/10.1002/jgt.23093.
ieee: Y. Wigderson, “Ramsey numbers upon vertex deletion,” Journal of Graph Theory,
vol. 106, no. 3. Wiley, pp. 663–675, 2024.
ista: Wigderson Y. 2024. Ramsey numbers upon vertex deletion. Journal of Graph Theory.
106(3), 663–675.
mla: Wigderson, Yuval. “Ramsey Numbers upon Vertex Deletion.” Journal of Graph
Theory, vol. 106, no. 3, Wiley, 2024, pp. 663–75, doi:10.1002/jgt.23093.
short: Y. Wigderson, Journal of Graph Theory 106 (2024) 663–675.
date_created: 2026-06-29T10:59:24Z
date_published: 2024-07-01T00:00:00Z
date_updated: 2026-07-14T09:10:28Z
day: '01'
doi: 10.1002/jgt.23093
extern: '1'
external_id:
unknown:
- '2208.11181'
fulldoi: https://doi.org/10.1002/jgt.23093
intvolume: ' 106'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2208.11181
month: '07'
oa: 1
oa_version: Preprint
page: 663-675
publication: Journal of Graph Theory
publication_identifier:
eissn:
- 1097-0118
issn:
- 0364-9024
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ramsey numbers upon vertex deletion
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 106
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '22190'
abstract:
- lang: eng
text: "We consider the set of \U0001D45A×\U0001D45B matrices with rational entries
having numerator and denominator of size at most H and obtain various upper bounds
on the number of such matrices of a given rank, or with a given determinant, or
a given characteristic polynomial. We also consider similar questions for matrices
whose entries are Egyptian fractions."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Muhammad
full_name: Afifurrahman, Muhammad
last_name: Afifurrahman
- first_name: Vivian Zieve
full_name: Kuperberg, Vivian Zieve
id: c3bac823-112d-11f0-a3f5-c264f852e697
last_name: Kuperberg
- first_name: Alina
full_name: Ostafe, Alina
last_name: Ostafe
- first_name: Igor E.
full_name: Shparlinski, Igor E.
last_name: Shparlinski
citation:
ama: Afifurrahman M, Kuperberg VZ, Ostafe A, Shparlinski IE. Statistics of ranks,
determinants and characteristic polynomials of rational matrices. Forum Mathematicum.
2024;37(4). doi:10.1515/forum-2024-0114
apa: Afifurrahman, M., Kuperberg, V. Z., Ostafe, A., & Shparlinski, I. E. (2024).
Statistics of ranks, determinants and characteristic polynomials of rational matrices.
Forum Mathematicum. De Gruyter. https://doi.org/10.1515/forum-2024-0114
chicago: Afifurrahman, Muhammad, Vivian Zieve Kuperberg, Alina Ostafe, and Igor
E. Shparlinski. “Statistics of Ranks, Determinants and Characteristic Polynomials
of Rational Matrices.” Forum Mathematicum. De Gruyter, 2024. https://doi.org/10.1515/forum-2024-0114.
ieee: M. Afifurrahman, V. Z. Kuperberg, A. Ostafe, and I. E. Shparlinski, “Statistics
of ranks, determinants and characteristic polynomials of rational matrices,” Forum
Mathematicum, vol. 37, no. 4. De Gruyter, 2024.
ista: Afifurrahman M, Kuperberg VZ, Ostafe A, Shparlinski IE. 2024. Statistics of
ranks, determinants and characteristic polynomials of rational matrices. Forum
Mathematicum. 37(4).
mla: Afifurrahman, Muhammad, et al. “Statistics of Ranks, Determinants and Characteristic
Polynomials of Rational Matrices.” Forum Mathematicum, vol. 37, no. 4,
De Gruyter, 2024, doi:10.1515/forum-2024-0114.
short: M. Afifurrahman, V.Z. Kuperberg, A. Ostafe, I.E. Shparlinski, Forum Mathematicum
37 (2024).
date_created: 2026-06-29T12:55:47Z
date_published: 2024-01-01T00:00:00Z
date_updated: 2026-07-14T10:48:41Z
doi: 10.1515/forum-2024-0114
extern: '1'
external_id:
arxiv:
- '2401.10086'
fulldoi: https://doi.org/10.1515/forum-2024-0114
intvolume: ' 37'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2401.10086
mathsc:
- 11C20
- 15B36
- 15B52
month: '01'
oa: 1
oa_version: Preprint
publication: Forum Mathematicum
publication_identifier:
eissn:
- 1435-5337
issn:
- 0933-7741
publication_status: published
publisher: De Gruyter
quality_controlled: '1'
scopus_import: '1'
status: public
title: Statistics of ranks, determinants and characteristic polynomials of rational
matrices
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '22197'
abstract:
- lang: eng
text: "We study the distribution of consecutive sums of two squares\r\nin arithmetic
progressions. If {En}n∈N is the sequence of\r\nsums of two squares in increasing
order, we show that for\r\nany modulus q and any congruence classes a1, a2, a3
mod q\r\nwhich are admissible in the sense that there are solutions\r\nto x2 +
y2 ≡ ai mod q, there exist infinitely many n with\r\nEn+i−1 ≡ ai mod q, for i
=1, 2, 3. We also show that for\r\nany r1, r2 ≥ 1, there exist infinitely many
n with En+i−1 ≡\r\na1 mod q for 1 ≤ i ≤ r1 and En+i−1 ≡ a2 mod q for\r\nr1 +1
≤ i ≤ r1 + r2"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Noam
full_name: Kimmel, Noam
last_name: Kimmel
- first_name: Vivian Zieve
full_name: Kuperberg, Vivian Zieve
id: c3bac823-112d-11f0-a3f5-c264f852e697
last_name: Kuperberg
citation:
ama: Kimmel N, Kuperberg VZ. Consecutive runs of sums of two squares. Journal
of Number Theory. 2024;264:135-147. doi:10.1016/j.jnt.2024.05.003
apa: Kimmel, N., & Kuperberg, V. Z. (2024). Consecutive runs of sums of two
squares. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2024.05.003
chicago: Kimmel, Noam, and Vivian Zieve Kuperberg. “Consecutive Runs of Sums of
Two Squares.” Journal of Number Theory. Elsevier, 2024. https://doi.org/10.1016/j.jnt.2024.05.003.
ieee: N. Kimmel and V. Z. Kuperberg, “Consecutive runs of sums of two squares,”
Journal of Number Theory, vol. 264. Elsevier, pp. 135–147, 2024.
ista: Kimmel N, Kuperberg VZ. 2024. Consecutive runs of sums of two squares. Journal
of Number Theory. 264, 135–147.
mla: Kimmel, Noam, and Vivian Zieve Kuperberg. “Consecutive Runs of Sums of Two
Squares.” Journal of Number Theory, vol. 264, Elsevier, 2024, pp. 135–47,
doi:10.1016/j.jnt.2024.05.003.
short: N. Kimmel, V.Z. Kuperberg, Journal of Number Theory 264 (2024) 135–147.
date_created: 2026-06-29T12:58:28Z
date_published: 2024-11-01T00:00:00Z
date_updated: 2026-07-14T11:10:45Z
day: '01'
doi: 10.1016/j.jnt.2024.05.003
extern: '1'
external_id:
arxiv:
- '2306.12855'
fulldoi: https://doi.org/10.1016/j.jnt.2024.05.003
intvolume: ' 264'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.48550/arXiv.2306.12855
month: '11'
oa_version: Preprint
page: 135-147
publication: Journal of Number Theory
publication_identifier:
issn:
- 0022-314X
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Consecutive runs of sums of two squares
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 264
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '22209'
abstract:
- lang: eng
text: The curvature of elongated microscopic building blocks plays a crucial role
on their self-assembly into orientationally ordered phases. While rod-like molecules
form a handful of liquid crystal (LC) phases, curved or banana-shaped molecules
show more than fifty phases, with fascinating physical properties, such as chirality
or polarity. Despite the fundamental and technological importance of these so-called
‘banana-shaped liquid crystals’, little is known about their microscopic details
at the single-molecule level. Curved colloidal liquid crystals—liquid crystals
formed by curved colloidal rods—are excellent model systems to optically resolve
the structure and dynamics of curved building blocks within these condensed phases.
Recent advances in the synthesis of curved rod-like particles have unlocked the
potential for studying—at the single-particle level—the intimate relationship
between shape and phase symmetry, and even confirmed the stability of elusive
LC phases. Further developments in this nascent field promise exciting findings,
such as the first observation of the colloidal twist-bend nematic phase or the
fabrication of functional materials with curvature-dependent properties. In this
Report on Progress, we will highlight recent advances in the synthesis and assembly
of curved colloidal liquid crystals and discuss the upcoming challenges and opportunities
of this field.
article_number: '094601'
article_processing_charge: No
article_type: review
author:
- first_name: Carla
full_name: Fernández-Rico, Carla
id: 492def71-6250-11f0-b278-d41dbd241b62
last_name: Fernández-Rico
- first_name: Roel P A
full_name: Dullens, Roel P A
last_name: Dullens
citation:
ama: 'Fernández-Rico C, Dullens RPA. Liquid crystals from curved colloidal rods:
Waves, twists and more. Reports on Progress in Physics. 2024;87(9). doi:10.1088/1361-6633/ad627b'
apa: 'Fernández-Rico, C., & Dullens, R. P. A. (2024). Liquid crystals from curved
colloidal rods: Waves, twists and more. Reports on Progress in Physics.
IOP Publishing. https://doi.org/10.1088/1361-6633/ad627b'
chicago: 'Fernández-Rico, Carla, and Roel P A Dullens. “Liquid Crystals from Curved
Colloidal Rods: Waves, Twists and More.” Reports on Progress in Physics.
IOP Publishing, 2024. https://doi.org/10.1088/1361-6633/ad627b.'
ieee: 'C. Fernández-Rico and R. P. A. Dullens, “Liquid crystals from curved colloidal
rods: Waves, twists and more,” Reports on Progress in Physics, vol. 87,
no. 9. IOP Publishing, 2024.'
ista: 'Fernández-Rico C, Dullens RPA. 2024. Liquid crystals from curved colloidal
rods: Waves, twists and more. Reports on Progress in Physics. 87(9), 094601.'
mla: 'Fernández-Rico, Carla, and Roel P. A. Dullens. “Liquid Crystals from Curved
Colloidal Rods: Waves, Twists and More.” Reports on Progress in Physics,
vol. 87, no. 9, 094601, IOP Publishing, 2024, doi:10.1088/1361-6633/ad627b.'
short: C. Fernández-Rico, R.P.A. Dullens, Reports on Progress in Physics 87 (2024).
date_created: 2026-06-30T06:31:09Z
date_published: 2024-08-12T00:00:00Z
date_updated: 2026-07-15T06:27:28Z
day: '12'
ddc:
- '540'
doi: 10.1088/1361-6633/ad627b
extern: '1'
external_id:
pmid:
- '38996410'
fulldoi: https://doi.org/10.1088/1361-6633/ad627b
has_accepted_license: '1'
intvolume: ' 87'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1088/1361-6633/ad627b
month: '08'
oa: 1
oa_version: Published Version
pmid: 1
publication: Reports on Progress in Physics
publication_identifier:
eissn:
- 1361-6633
issn:
- 0034-4885
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Liquid crystals from curved colloidal rods: Waves, twists and more'
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: 87
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '22219'
abstract:
- lang: eng
text: 'Bicontinuous microstructures are essential to the function of diverse natural
and synthetic systems. Their synthesis has been based on two approaches: arrested
phase separation or self-assembly of block copolymers. The former is attractive
for its chemical simplicity and the latter, for its thermodynamic robustness.
Here we introduce elastic microphase separation (EMPS) as an alternative approach
to make bicontinuous microstructures. Conceptually, EMPS balances the molecular-scale
forces that drive demixing with large-scale elasticity to encode a thermodynamic
length scale. This process features a continuous phase transition, reversible
without hysteresis. Practically, EMPS is triggered by simply supersaturating an
elastomeric matrix with a liquid, resulting in uniform bicontinuous materials
with a well-defined microscopic length scale tuned by the matrix stiffness. The
versatility of EMPS is further demonstrated by fabricating bicontinuous materials
with superior mechanical properties and controlled anisotropy and microstructural
gradients. Overall, EMPS presents a robust alternative for the bulk fabrication
of homogeneous bicontinuous materials.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Carla
full_name: Fernández-Rico, Carla
id: 492def71-6250-11f0-b278-d41dbd241b62
last_name: Fernández-Rico
- first_name: Sanjay
full_name: Schreiber, Sanjay
last_name: Schreiber
- first_name: Hamza
full_name: Oudich, Hamza
last_name: Oudich
- first_name: Charlotta
full_name: Lorenz, Charlotta
last_name: Lorenz
- first_name: Alba
full_name: Sicher, Alba
last_name: Sicher
- first_name: Tianqi
full_name: Sai, Tianqi
last_name: Sai
- first_name: Viola
full_name: Bauernfeind, Viola
last_name: Bauernfeind
- first_name: Stefanie
full_name: Heyden, Stefanie
last_name: Heyden
- first_name: Pietro
full_name: Carrara, Pietro
last_name: Carrara
- first_name: Laura De
full_name: Lorenzis, Laura De
last_name: Lorenzis
- first_name: Robert W.
full_name: Style, Robert W.
last_name: Style
- first_name: Eric R.
full_name: Dufresne, Eric R.
last_name: Dufresne
citation:
ama: Fernández-Rico C, Schreiber S, Oudich H, et al. Elastic microphase separation
produces robust bicontinuous materials. Nature Materials. 2024;23:124-130.
doi:10.1038/s41563-023-01703-0
apa: Fernández-Rico, C., Schreiber, S., Oudich, H., Lorenz, C., Sicher, A., Sai,
T., … Dufresne, E. R. (2024). Elastic microphase separation produces robust bicontinuous
materials. Nature Materials. Springer Nature. https://doi.org/10.1038/s41563-023-01703-0
chicago: Fernández-Rico, Carla, Sanjay Schreiber, Hamza Oudich, Charlotta Lorenz,
Alba Sicher, Tianqi Sai, Viola Bauernfeind, et al. “Elastic Microphase Separation
Produces Robust Bicontinuous Materials.” Nature Materials. Springer Nature,
2024. https://doi.org/10.1038/s41563-023-01703-0.
ieee: C. Fernández-Rico et al., “Elastic microphase separation produces robust
bicontinuous materials,” Nature Materials, vol. 23. Springer Nature, pp.
124–130, 2024.
ista: Fernández-Rico C, Schreiber S, Oudich H, Lorenz C, Sicher A, Sai T, Bauernfeind
V, Heyden S, Carrara P, Lorenzis LD, Style RW, Dufresne ER. 2024. Elastic microphase
separation produces robust bicontinuous materials. Nature Materials. 23, 124–130.
mla: Fernández-Rico, Carla, et al. “Elastic Microphase Separation Produces Robust
Bicontinuous Materials.” Nature Materials, vol. 23, Springer Nature, 2024,
pp. 124–30, doi:10.1038/s41563-023-01703-0.
short: C. Fernández-Rico, S. Schreiber, H. Oudich, C. Lorenz, A. Sicher, T. Sai,
V. Bauernfeind, S. Heyden, P. Carrara, L.D. Lorenzis, R.W. Style, E.R. Dufresne,
Nature Materials 23 (2024) 124–130.
date_created: 2026-06-30T06:36:39Z
date_published: 2024-01-01T00:00:00Z
date_updated: 2026-07-15T08:23:05Z
day: '01'
doi: 10.1038/s41563-023-01703-0
extern: '1'
external_id:
arxiv:
- '2304.11419'
fulldoi: https://doi.org/10.1038/s41563-023-01703-0
intvolume: ' 23'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2304.11419
month: '01'
oa: 1
oa_version: Preprint
page: 124-130
publication: Nature Materials
publication_identifier:
eissn:
- 1476-4660
issn:
- 1476-1122
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Elastic microphase separation produces robust bicontinuous materials
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 23
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '19425'
abstract:
- lang: eng
text: "We demonstrate that periodically driven quantum rotors provide a promising
and broadly applicable platform to implement multi-gap topological phases, where
groups of bands can acquire topological invariants due to non-Abelian braiding
of band degeneracies. By adiabatically varying the periodic kicks to the rotor
we find nodal-line braiding, which causes sign flips of topological charges of
band nodes and can prevent them from annihilating, indicated by non-zero values
of the %non-Abelian patch Euler class. In particular, we report\r\non the emergence
of an anomalous Dirac string phase arising in the strongly driven regime, a truly
out-of-equilibrium phase of the quantum rotor. This phase emanates from braiding
processes involving all (quasienergy) gaps and manifests itself with edge states
at zero angular momentum. Our results reveal direct applications in state-of-the-art
experiments of quantum rotors, such as linear molecules driven by periodic far-off-resonant
laser pulses or artificial\r\nquantum rotors in optical lattices, whose extensive
versatility offers precise modification and observation of novel non-Abelian topological
properties. "
acknowledgement: "We thank G. M. Koutentakis, S. Wimberger, J. G. E. Harris, T. Enss
and A. Ghazaryan for fruitful discussions. M.L. acknowledges support by the European
Research Council (ERC) Starting Grant No. 801770 (ANGULON). R.-J. S. acknowledges
funding from a EPSRC ERC underwrite grant EP/X025829/1, a EPSRC New Investigator
Award grant EP/W00187X/1, as well as Trinity College, Cambridge. F.N.U. acknowledges
support from the Marie ¨Sk lodowska-Curie programme of the European Commission [Grant
No. 893915], Simons Investigator Award\r\n[Grant No. 511029] and Trinity College
Cambridge."
article_number: '2408.16848'
article_processing_charge: No
arxiv: 1
author:
- first_name: Volker
full_name: Karle, Volker
id: D7C012AE-D7ED-11E9-95E8-1EC5E5697425
last_name: Karle
orcid: 0000-0002-6963-0129
- first_name: Mikhail
full_name: Lemeshko, Mikhail
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Adrien
full_name: Bouhon, Adrien
last_name: Bouhon
- first_name: Robert-Jan
full_name: Slager, Robert-Jan
last_name: Slager
- first_name: F. Nur
full_name: Ünal, F. Nur
last_name: Ünal
citation:
ama: Karle V, Lemeshko M, Bouhon A, Slager R-J, Ünal FN. Anomalous multi-gap topological
phases in periodically driven quantum rotors. arXiv. doi:10.48550/arXiv.2408.16848
apa: Karle, V., Lemeshko, M., Bouhon, A., Slager, R.-J., & Ünal, F. N. (n.d.).
Anomalous multi-gap topological phases in periodically driven quantum rotors.
arXiv. https://doi.org/10.48550/arXiv.2408.16848
chicago: Karle, Volker, Mikhail Lemeshko, Adrien Bouhon, Robert-Jan Slager, and
F. Nur Ünal. “Anomalous Multi-Gap Topological Phases in Periodically Driven Quantum
Rotors.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2408.16848.
ieee: V. Karle, M. Lemeshko, A. Bouhon, R.-J. Slager, and F. N. Ünal, “Anomalous
multi-gap topological phases in periodically driven quantum rotors,” arXiv.
.
ista: Karle V, Lemeshko M, Bouhon A, Slager R-J, Ünal FN. Anomalous multi-gap topological
phases in periodically driven quantum rotors. arXiv, 2408.16848.
mla: Karle, Volker, et al. “Anomalous Multi-Gap Topological Phases in Periodically
Driven Quantum Rotors.” ArXiv, 2408.16848, doi:10.48550/arXiv.2408.16848.
short: V. Karle, M. Lemeshko, A. Bouhon, R.-J. Slager, F.N. Ünal, ArXiv (n.d.).
date_created: 2025-03-20T07:48:23Z
date_published: 2024-08-29T00:00:00Z
date_updated: 2026-07-29T08:59:31Z
day: '29'
department:
- _id: MiLe
doi: 10.48550/arXiv.2408.16848
ec_funded: 1
external_id:
arxiv:
- '2408.16848'
fulldoi: https://doi.org/10.48550/arXiv.2408.16848
language:
- iso: eng
main_file_link:
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url: https://doi.org/10.48550/arXiv.2408.16848
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 2688CF98-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '801770'
name: 'Angulon: physics and applications of a new quasiparticle'
publication: arXiv
publication_status: draft
related_material:
record:
- id: '19393'
relation: dissertation_contains
status: public
- id: '21009'
relation: later_version
status: public
status: public
title: Anomalous multi-gap topological phases in periodically driven quantum rotors
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19051'
abstract:
- lang: eng
text: This paper corrects an error in an earlier work of the author.
article_processing_charge: Yes (via OA deal)
article_type: original
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. The polynomial sieve and equal sums of like polynomials. International
Mathematics Research Notices. 2024;2024(13):10165-10168. doi:10.1093/imrn/rnae066
apa: Browning, T. D. (2024). The polynomial sieve and equal sums of like polynomials.
International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnae066
chicago: Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.”
International Mathematics Research Notices. Oxford University Press, 2024.
https://doi.org/10.1093/imrn/rnae066.
ieee: T. D. Browning, “The polynomial sieve and equal sums of like polynomials,”
International Mathematics Research Notices, vol. 2024, no. 13. Oxford University
Press, pp. 10165–10168, 2024.
ista: Browning TD. 2024. The polynomial sieve and equal sums of like polynomials.
International Mathematics Research Notices. 2024(13), 10165–10168.
mla: Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.”
International Mathematics Research Notices, vol. 2024, no. 13, Oxford University
Press, 2024, pp. 10165–68, doi:10.1093/imrn/rnae066.
short: T.D. Browning, International Mathematics Research Notices 2024 (2024) 10165–10168.
corr_author: '1'
das_tickbox: '0'
date_created: 2025-02-18T07:15:50Z
date_published: 2024-07-01T00:00:00Z
date_updated: 2026-07-29T09:59:57Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1093/imrn/rnae066
external_id:
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checksum: b625b8adf018d2a97591813c1fc17b96
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creator: dernst
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date_updated: 2025-02-18T07:56:36Z
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file_name: 2024_IMRN_Browning.pdf
file_size: 205750
relation: main_file
success: 1
file_date_updated: 2025-02-18T07:56:36Z
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intvolume: ' 2024'
isi: 1
issue: '13'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 10165-10168
publication: International Mathematics Research Notices
publication_identifier:
eissn:
- 1687-0247
issn:
- 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
related_material:
record:
- id: '254'
relation: earlier_version
status: public
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: The polynomial sieve and equal sums of like polynomials
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 2024
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '20071'
abstract:
- lang: eng
text: Farkas established that a system of linear inequalities has a solution if
and only if we cannot obtain a contradiction by taking a linear combination of
the inequalities. We state and formally prove several Farkas-like theorems over
linearly ordered fields in Lean 4. Furthermore, we extend duality theory to the
case when some coefficients are allowed to take "infinite values".
acknowledgement: We would like to thank David Bartl and Jasmin Blanchette for frequent
consultations. We would also like to express gratitude to Andrew Yang for the proof
of Finset.univ sum of zero when not and to Henrik B¨oving for a help with generalization
from extended rationals to extended linearly ordered fields. We would also like
to acknowledge Antoine Chambert-Loir, Apurva Nakade, Ya¨el Dillies, Richard Copley,
Edward van de Meent, Markus Himmel, Mario Carneiro, and Kevin Buzzard.
article_number: '2409.08119'
article_processing_charge: No
arxiv: 1
author:
- first_name: Martin
full_name: Dvorak, Martin
id: 40ED02A8-C8B4-11E9-A9C0-453BE6697425
last_name: Dvorak
orcid: 0000-0001-5293-214X
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
citation:
ama: Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions
-- formally verified. arXiv. doi:10.48550/arXiv.2409.08119
apa: Dvorak, M., & Kolmogorov, V. (n.d.). Duality theory in linear optimization
and its extensions -- formally verified. arXiv. https://doi.org/10.48550/arXiv.2409.08119
chicago: Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization
and Its Extensions -- Formally Verified.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.08119.
ieee: M. Dvorak and V. Kolmogorov, “Duality theory in linear optimization and its
extensions -- formally verified,” arXiv. .
ista: Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions
-- formally verified. arXiv, 2409.08119.
mla: Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization
and Its Extensions -- Formally Verified.” ArXiv, 2409.08119, doi:10.48550/arXiv.2409.08119.
short: M. Dvorak, V. Kolmogorov, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-07-23T11:21:52Z
date_published: 2024-09-12T00:00:00Z
date_updated: 2026-07-29T12:56:51Z
day: '12'
department:
- _id: GradSch
- _id: VlKo
doi: 10.48550/arXiv.2409.08119
external_id:
arxiv:
- '2409.08119'
fulldoi: https://doi.org/10.48550/arXiv.2409.08119
keyword:
- Farkas lemma
- linear programming
- extended reals
- calculus of inductive constructions
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2409.08119
month: '09'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
link:
- description: full version of all definitions, statement, and proofs
relation: software
url: https://github.com/madvorak/duality/tree/v3.2
record:
- id: '22607'
relation: later_version
status: public
- id: '21393'
relation: dissertation_contains
status: public
status: public
title: Duality theory in linear optimization and its extensions -- formally verified
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
OA_place: repository
_id: '19545'
abstract:
- lang: eng
text: "We prove the Eigenstate Thermalisation Hypothesis for Wigner matrices\r\nuniformly
in the entire spectrum, in particular near the spectral edges, with a\r\nbound
on the fluctuation that is optimal for any observable. This complements\r\nearlier
works of Cipolloni et. al. (Comm. Math. Phys. 388, 2021; Forum Math.,\r\nSigma
10, 2022) and Benigni et. al. (Comm. Math. Phys. 391, 2022; arXiv:\r\n2303.11142)
that were restricted either to the bulk of the spectrum or to\r\nspecial observables.
As a main ingredient, we prove a new multi-resolvent local\r\nlaw that optimally
accounts for the edge scaling."
acknowledgement: Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.
article_processing_charge: No
arxiv: 1
author:
- first_name: Giorgio
full_name: Cipolloni, Giorgio
id: 42198EFA-F248-11E8-B48F-1D18A9856A87
last_name: Cipolloni
orcid: 0000-0002-4901-7992
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
citation:
ama: Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for
Wigner matrices. arXiv. doi:10.48550/arXiv.2309.05488
apa: Cipolloni, G., Erdös, L., & Henheik, S. J. (n.d.). Eigenstate thermalisation
at the edge for Wigner matrices. arXiv. https://doi.org/10.48550/arXiv.2309.05488
chicago: Cipolloni, Giorgio, László Erdös, and Sven Joscha Henheik. “Eigenstate
Thermalisation at the Edge for Wigner Matrices.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2309.05488.
ieee: G. Cipolloni, L. Erdös, and S. J. Henheik, “Eigenstate thermalisation at the
edge for Wigner matrices,” arXiv. .
ista: Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for
Wigner matrices. arXiv, 10.48550/arXiv.2309.05488.
mla: Cipolloni, Giorgio, et al. “Eigenstate Thermalisation at the Edge for Wigner
Matrices.” ArXiv, doi:10.48550/arXiv.2309.05488.
short: G. Cipolloni, L. Erdös, S.J. Henheik, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-04-11T08:19:22Z
date_published: 2024-12-17T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '17'
department:
- _id: LaEr
doi: 10.48550/arXiv.2309.05488
ec_funded: 1
external_id:
arxiv:
- '2309.05488'
fulldoi: https://doi.org/10.48550/arXiv.2309.05488
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2309.05488
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: arXiv
publication_status: draft
related_material:
record:
- id: '19540'
relation: dissertation_contains
status: public
status: public
title: Eigenstate thermalisation at the edge for Wigner matrices
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: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
OA_place: repository
_id: '19550'
abstract:
- lang: eng
text: "We introduce a multi-band BCS free energy functional and prove that for a\r\nmulti-band
superconductor the effect of inter-band coupling can only increase\r\nthe critical
temperature, irrespective of its attractive or repulsive nature\r\nand its strength.
Further, for weak coupling and weaker inter-band coupling, we\r\nprove that the
dependence of the increase in critical temperature on the\r\ninter-band coupling
is (1) linear, if there are two or more equally strongly\r\nsuperconducting bands,
or (2) quadratic, if there is only one dominating band."
article_processing_charge: No
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Edwin
full_name: Langmann, Edwin
last_name: Langmann
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced
critical temperatures. arXiv. doi:10.48550/arXiv.2409.17297
apa: Henheik, S. J., Langmann, E., & Lauritsen, A. B. (n.d.). Multi-band superconductors
have enhanced critical temperatures. arXiv. https://doi.org/10.48550/arXiv.2409.17297
chicago: Henheik, Sven Joscha, Edwin Langmann, and Asbjørn Bækgaard Lauritsen. “Multi-Band
Superconductors Have Enhanced Critical Temperatures.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.17297.
ieee: S. J. Henheik, E. Langmann, and A. B. Lauritsen, “Multi-band superconductors
have enhanced critical temperatures,” arXiv. .
ista: Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced
critical temperatures. arXiv, 10.48550/arXiv.2409.17297.
mla: Henheik, Sven Joscha, et al. “Multi-Band Superconductors Have Enhanced Critical
Temperatures.” ArXiv, doi:10.48550/arXiv.2409.17297.
short: S.J. Henheik, E. Langmann, A.B. Lauritsen, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-04-11T11:43:58Z
date_published: 2024-10-21T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '21'
department:
- _id: LaEr
- _id: RoSe
doi: 10.48550/arXiv.2409.17297
external_id:
arxiv:
- '2409.17297'
fulldoi: https://doi.org/10.48550/arXiv.2409.17297
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2409.17297
month: '10'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
record:
- id: '22290'
relation: later_version
status: public
- id: '19540'
relation: dissertation_contains
status: public
status: public
title: Multi-band superconductors have enhanced critical temperatures
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: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
OA_place: repository
_id: '19547'
abstract:
- lang: eng
text: "For correlated real symmetric or complex Hermitian random matrices, we prove\r\nthat
the local eigenvalue statistics at any cusp singularity are universal.\r\nSince
the density of states typically exhibits only square root edge or cubic\r\nroot
cusp singularities, our result completes the proof of the\r\nWigner-Dyson-Mehta
universality conjecture in all spectral regimes for a very\r\ngeneral class of
random matrices. Previously only the bulk and the edge\r\nuniversality were established
in this generality [arXiv:1804.07744], while cusp\r\nuniversality was proven only
for Wigner-type matrices with independent entries\r\n[arXiv:1809.03971, arXiv:1811.04055].
As our main technical input, we prove an\r\noptimal local law at the cusp using
the Zigzag strategy, a recursive tandem of\r\nthe characteristic flow method and
a Green function comparison argument.\r\nMoreover, our proof of the optimal local
law holds uniformly in the spectrum,\r\nthus also re-establishing universality
of the local eigenvalue statistics in\r\nthe previously studied bulk [arXiv:1705.10661]
and edge [arXiv:1804.07744]\r\nregimes."
acknowledgement: "Supported by the ERC Advanced Grant \"RMTBeyond\"\r\nNo. 101020331."
article_processing_charge: No
arxiv: 1
author:
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Volodymyr
full_name: Riabov, Volodymyr
id: 1949f904-edfb-11eb-afb5-e2dfddabb93b
last_name: Riabov
citation:
ama: Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices.
arXiv. doi:10.48550/arXiv.2410.06813
apa: Erdös, L., Henheik, S. J., & Riabov, V. (n.d.). Cusp universality for correlated
random matrices. arXiv. https://doi.org/10.48550/arXiv.2410.06813
chicago: Erdös, László, Sven Joscha Henheik, and Volodymyr Riabov. “Cusp Universality
for Correlated Random Matrices.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2410.06813.
ieee: L. Erdös, S. J. Henheik, and V. Riabov, “Cusp universality for correlated
random matrices,” arXiv. .
ista: Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices.
arXiv, 10.48550/arXiv.2410.06813.
mla: Erdös, László, et al. “Cusp Universality for Correlated Random Matrices.” ArXiv,
doi:10.48550/arXiv.2410.06813.
short: L. Erdös, S.J. Henheik, V. Riabov, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-04-11T08:48:21Z
date_published: 2024-11-03T00:00:00Z
date_updated: 2026-07-29T13:18:17Z
day: '03'
department:
- _id: LaEr
doi: 10.48550/arXiv.2410.06813
ec_funded: 1
external_id:
arxiv:
- '2410.06813'
fulldoi: https://doi.org/10.48550/arXiv.2410.06813
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2410.06813
month: '11'
oa: 1
oa_version: Preprint
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: arXiv
publication_status: draft
related_material:
record:
- id: '20322'
relation: later_version
status: public
- id: '20575'
relation: dissertation_contains
status: public
- id: '19540'
relation: dissertation_contains
status: public
status: public
title: Cusp universality for correlated random matrices
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
OA_place: repository
_id: '19551'
abstract:
- lang: eng
text: "We introduce a notion of a \\emph{local gap} for interacting many-body quantum
lattice systems and prove the validity of response theory and Kubo's formula for
localized perturbations in such settings.\r\nOn a high level, our result shows
that the usual spectral gap condition, concerning the system as a whole, is not
a necessary condition for understanding local properties of the system.\r\nMore
precisely, we say that an equilibrium state ρ0 of a Hamiltonian H0 is locally
gapped in Λgap⊂Λ, whenever the Liouvillian −i[H0,⋅] is almost invertible on local
observables supported in Λgap when tested in ρ0.\r\nTo put this into context,
we provide other alternative notions of a local gap and discuss their relations.\r\nThe
validity of response theory is based on the construction of \\emph{non-equilibrium
almost stationary states} (NEASSs).\r\nBy controlling locality properties of the
NEASS construction, we show that response theory holds to any order, whenever
the perturbation \\(\\epsilon V\\) acts in a region which is further than |logϵ|
away from the non-gapped region Λ∖Λgap."
article_processing_charge: No
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Tom
full_name: Wessel, Tom
last_name: Wessel
citation:
ama: Henheik SJ, Wessel T. Response theory for locally gapped systems. arXiv.
doi:10.48550/arXiv.2410.10809
apa: Henheik, S. J., & Wessel, T. (n.d.). Response theory for locally gapped
systems. arXiv. https://doi.org/10.48550/arXiv.2410.10809
chicago: Henheik, Sven Joscha, and Tom Wessel. “Response Theory for Locally Gapped
Systems.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2410.10809.
ieee: S. J. Henheik and T. Wessel, “Response theory for locally gapped systems,”
arXiv. .
ista: Henheik SJ, Wessel T. Response theory for locally gapped systems. arXiv, 10.48550/arXiv.2410.10809.
mla: Henheik, Sven Joscha, and Tom Wessel. “Response Theory for Locally Gapped Systems.”
ArXiv, doi:10.48550/arXiv.2410.10809.
short: S.J. Henheik, T. Wessel, ArXiv (n.d.).
corr_author: '1'
date_created: 2025-04-11T11:54:56Z
date_published: 2024-10-14T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '14'
department:
- _id: LaEr
doi: 10.48550/arXiv.2410.10809
external_id:
arxiv:
- '2410.10809'
fulldoi: https://doi.org/10.48550/arXiv.2410.10809
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2410.10809
month: '10'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
record:
- id: '19540'
relation: dissertation_contains
status: public
status: public
title: Response theory for locally gapped systems
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: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2024'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22444'
abstract:
- lang: eng
text: Abstract. Hydro-pedotransfer functions (PTFs) relate easy-to-measure
and readily available soil information to soil hydraulic properties (SHPs) for
applications in a wide range of process-based and empirical models, thereby enabling
the assessment of soil hydraulic effects on hydrological, biogeochemical, and
ecological processes. At least more than 4 decades of research have been invested
to derive such relationships. However, while models, methods, data storage capacity,
and computational efficiency have advanced, there are fundamental concerns related
to the scope and adequacy of current PTFs, particularly when applied to parameterise
models used at the field scale and beyond. Most of the PTF development process
has focused on refining and advancing the regression methods, while fundamental
aspects have remained largely unconsidered. Most soil systems are not represented
in PTFs, which have been built mostly for agricultural soils in temperate climates.
Thus, existing PTFs largely ignore how parent material, vegetation, land use,
and climate affect processes that shape SHPs. The PTFs used to parameterise the
Richards–Richardson equation are mostly limited to predicting parameters of the
van Genuchten–Mualem soil hydraulic functions, despite sufficient evidence demonstrating
their shortcomings. Another fundamental issue relates to the diverging scales
of derivation and application, whereby PTFs are derived based on laboratory measurements
while often being applied at the field to regional scales. Scaling, modulation,
and constraining strategies exist to alleviate some of these shortcomings in the
mismatch between scales. These aspects are addressed here in a joint effort by
the members of the International Soil Modelling Consortium (ISMC) Pedotransfer
Functions Working Group with the aim of systematising PTF research and providing
a roadmap guiding both PTF development and use. We close with a 10-point catalogue
for funders and researchers to guide review processes and research.
article_processing_charge: No
article_type: original
author:
- first_name: Tobias Karl David
full_name: Weber, Tobias Karl David
last_name: Weber
- first_name: Lutz
full_name: Weihermüller, Lutz
last_name: Weihermüller
- first_name: Attila
full_name: Nemes, Attila
last_name: Nemes
- first_name: Michel
full_name: Bechtold, Michel
last_name: Bechtold
- first_name: Aurore
full_name: Degré, Aurore
last_name: Degré
- first_name: Efstathios
full_name: Diamantopoulos, Efstathios
last_name: Diamantopoulos
- first_name: Simone
full_name: Fatichi, Simone
id: cf8e546b-a9b0-11f0-a43b-aa89ed1b56d6
last_name: Fatichi
- first_name: Vilim
full_name: Filipović, Vilim
last_name: Filipović
- first_name: Surya
full_name: Gupta, Surya
last_name: Gupta
- first_name: Tobias L.
full_name: Hohenbrink, Tobias L.
last_name: Hohenbrink
- first_name: Daniel R.
full_name: Hirmas, Daniel R.
last_name: Hirmas
- first_name: Conrad
full_name: Jackisch, Conrad
last_name: Jackisch
- first_name: Quirijn
full_name: de Jong van Lier, Quirijn
last_name: de Jong van Lier
- first_name: John
full_name: Koestel, John
last_name: Koestel
- first_name: Peter
full_name: Lehmann, Peter
last_name: Lehmann
- first_name: Toby R.
full_name: Marthews, Toby R.
last_name: Marthews
- first_name: Budiman
full_name: Minasny, Budiman
last_name: Minasny
- first_name: Holger
full_name: Pagel, Holger
last_name: Pagel
- first_name: Martine
full_name: van der Ploeg, Martine
last_name: van der Ploeg
- first_name: Shahab Aldin
full_name: Shojaeezadeh, Shahab Aldin
last_name: Shojaeezadeh
- first_name: Simon Fiil
full_name: Svane, Simon Fiil
last_name: Svane
- first_name: Brigitta
full_name: Szabó, Brigitta
last_name: Szabó
- first_name: Harry
full_name: Vereecken, Harry
last_name: Vereecken
- first_name: Anne
full_name: Verhoef, Anne
last_name: Verhoef
- first_name: Michael
full_name: Young, Michael
last_name: Young
- first_name: Yijian
full_name: Zeng, Yijian
last_name: Zeng
- first_name: Yonggen
full_name: Zhang, Yonggen
last_name: Zhang
- first_name: Sara
full_name: Bonetti, Sara
last_name: Bonetti
citation:
ama: 'Weber TKD, Weihermüller L, Nemes A, et al. Hydro-pedotransfer functions: A
roadmap for future development. Hydrology and Earth System Sciences. 2024;28(14):3391-3433.
doi:10.5194/hess-28-3391-2024'
apa: 'Weber, T. K. D., Weihermüller, L., Nemes, A., Bechtold, M., Degré, A., Diamantopoulos,
E., … Bonetti, S. (2024). Hydro-pedotransfer functions: A roadmap for future development.
Hydrology and Earth System Sciences. Copernicus Publications. https://doi.org/10.5194/hess-28-3391-2024'
chicago: 'Weber, Tobias Karl David, Lutz Weihermüller, Attila Nemes, Michel Bechtold,
Aurore Degré, Efstathios Diamantopoulos, Simone Fatichi, et al. “Hydro-Pedotransfer
Functions: A Roadmap for Future Development.” Hydrology and Earth System Sciences.
Copernicus Publications, 2024. https://doi.org/10.5194/hess-28-3391-2024.'
ieee: 'T. K. D. Weber et al., “Hydro-pedotransfer functions: A roadmap for
future development,” Hydrology and Earth System Sciences, vol. 28, no.
14. Copernicus Publications, pp. 3391–3433, 2024.'
ista: 'Weber TKD, Weihermüller L, Nemes A, Bechtold M, Degré A, Diamantopoulos E,
Fatichi S, Filipović V, Gupta S, Hohenbrink TL, Hirmas DR, Jackisch C, de Jong
van Lier Q, Koestel J, Lehmann P, Marthews TR, Minasny B, Pagel H, van der Ploeg
M, Shojaeezadeh SA, Svane SF, Szabó B, Vereecken H, Verhoef A, Young M, Zeng Y,
Zhang Y, Bonetti S. 2024. Hydro-pedotransfer functions: A roadmap for future development.
Hydrology and Earth System Sciences. 28(14), 3391–3433.'
mla: 'Weber, Tobias Karl David, et al. “Hydro-Pedotransfer Functions: A Roadmap
for Future Development.” Hydrology and Earth System Sciences, vol. 28,
no. 14, Copernicus Publications, 2024, pp. 3391–433, doi:10.5194/hess-28-3391-2024.'
short: T.K.D. Weber, L. Weihermüller, A. Nemes, M. Bechtold, A. Degré, E. Diamantopoulos,
S. Fatichi, V. Filipović, S. Gupta, T.L. Hohenbrink, D.R. Hirmas, C. Jackisch,
Q. de Jong van Lier, J. Koestel, P. Lehmann, T.R. Marthews, B. Minasny, H. Pagel,
M. van der Ploeg, S.A. Shojaeezadeh, S.F. Svane, B. Szabó, H. Vereecken, A. Verhoef,
M. Young, Y. Zeng, Y. Zhang, S. Bonetti, Hydrology and Earth System Sciences 28
(2024) 3391–3433.
das_tickbox: '1'
date_created: 2026-07-27T12:30:23Z
date_published: 2024-07-29T00:00:00Z
date_updated: 2026-07-30T11:43:29Z
day: '29'
ddc:
- '550'
doi: 10.5194/hess-28-3391-2024
extern: '1'
fulldoi: https://doi.org/10.5194/hess-28-3391-2024
has_accepted_license: '1'
intvolume: ' 28'
issue: '14'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.5194/hess-28-3391-2024
month: '07'
oa: 1
oa_version: Published Version
page: 3391-3433
publication: Hydrology and Earth System Sciences
publication_identifier:
eissn:
- 1607-7938
issn:
- 1027-5606
publication_status: published
publisher: Copernicus Publications
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Hydro-pedotransfer functions: A roadmap for future development'
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: 28
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '22485'
abstract:
- lang: eng
text: Allometric scaling relations are widely used to link biological processes
to body size in nature. Several studies have shown that such scaling laws hold
also for natural ecosystems, including individual trees and forests, riverine
metabolism, and river network organization. However, the derivation of scaling
laws for catchment-scale water and carbon fluxes has not been achieved so far.
Here, we focus on scaling relations of catchment green metabolism, defined as
the set of ecohydrological and biogeochemical processes through which vegetation
assemblages in catchments maintain their structure and react to the surrounding
environment. By revising existing plant size–density relationships and integrating
them across large-scale domains, we show that the ecohydrological fluxes occurring
at the catchment scale are invariant with respect to the above-ground vegetation
biomass per unit area of the basin, while they scale linearly with catchment size.
We thus demonstrate that the sublinear scaling of plant metabolism results in
an isometric scaling at catchment and regional scales. Deviations from such predictions
are further shown to collapse onto a common distribution, thus incorporating natural
fluctuations due to resource limitations into a generalized scaling theory. Results
from scaling arguments are supported by hyperresolution ecohydrological simulations
and remote sensing observations.
article_number: e2410736121
article_processing_charge: No
article_type: original
author:
- first_name: Francesca
full_name: Bassani, Francesca
last_name: Bassani
- first_name: Simone
full_name: Fatichi, Simone
id: cf8e546b-a9b0-11f0-a43b-aa89ed1b56d6
last_name: Fatichi
- first_name: Andrea
full_name: Rinaldo, Andrea
last_name: Rinaldo
- first_name: Sara
full_name: Bonetti, Sara
last_name: Bonetti
citation:
ama: 'Bassani F, Fatichi S, Rinaldo A, Bonetti S. Toward a metabolic theory of catchments:
Scaling of water and carbon fluxes with size. Proceedings of the National Academy
of Sciences. 2024;121(42). doi:10.1073/pnas.2410736121'
apa: 'Bassani, F., Fatichi, S., Rinaldo, A., & Bonetti, S. (2024). Toward a
metabolic theory of catchments: Scaling of water and carbon fluxes with size.
Proceedings of the National Academy of Sciences. National Academy of Sciences.
https://doi.org/10.1073/pnas.2410736121'
chicago: 'Bassani, Francesca, Simone Fatichi, Andrea Rinaldo, and Sara Bonetti.
“Toward a Metabolic Theory of Catchments: Scaling of Water and Carbon Fluxes with
Size.” Proceedings of the National Academy of Sciences. National Academy
of Sciences, 2024. https://doi.org/10.1073/pnas.2410736121.'
ieee: 'F. Bassani, S. Fatichi, A. Rinaldo, and S. Bonetti, “Toward a metabolic theory
of catchments: Scaling of water and carbon fluxes with size,” Proceedings of
the National Academy of Sciences, vol. 121, no. 42. National Academy of Sciences,
2024.'
ista: 'Bassani F, Fatichi S, Rinaldo A, Bonetti S. 2024. Toward a metabolic theory
of catchments: Scaling of water and carbon fluxes with size. Proceedings of the
National Academy of Sciences. 121(42), e2410736121.'
mla: 'Bassani, Francesca, et al. “Toward a Metabolic Theory of Catchments: Scaling
of Water and Carbon Fluxes with Size.” Proceedings of the National Academy
of Sciences, vol. 121, no. 42, e2410736121, National Academy of Sciences,
2024, doi:10.1073/pnas.2410736121.'
short: F. Bassani, S. Fatichi, A. Rinaldo, S. Bonetti, Proceedings of the National
Academy of Sciences 121 (2024).
das_tickbox: '1'
date_created: 2026-07-27T12:30:23Z
date_published: 2024-10-09T00:00:00Z
date_updated: 2026-07-30T11:27:23Z
day: '09'
ddc:
- '550'
doi: 10.1073/pnas.2410736121
extern: '1'
fulldoi: https://doi.org/10.1073/pnas.2410736121
has_accepted_license: '1'
intvolume: ' 121'
issue: '42'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
main_file_link:
- open_access: '1'
url: https://doi.org/10.1073/pnas.2410736121
month: '10'
oa: 1
oa_version: Published Version
publication: Proceedings of the National Academy of Sciences
publication_identifier:
eissn:
- 1091-6490
issn:
- 0027-8424
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Toward a metabolic theory of catchments: Scaling of water and carbon fluxes
with size'
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 121
year: '2024'
...