---
OA_place: publisher
OA_type: gold
_id: '19433'
abstract:
- lang: eng
text: An ordered r-matching is an r-uniform hypergraph matching equipped with an
ordering on its vertices. These objects can be viewed as natural generalisations
of r-dimensional orders. The theory of ordered 2-matchings is well developed and
has connections and applications to extremal and enumerative combinatorics, probability
and geometry. On the other hand, in the case r≥3 much less is known, largely
due to a lack of powerful bijective tools. Recently, Dudek, Grytczuk and Ruciński
made some first steps towards a general theory of ordered r-matchings, and in
this paper we substantially improve several of their results and introduce some
new directions of study. Many intriguing open questions remain.
acknowledgement: We would like to thank Timo Seppäläinen for some illuminating discussion
about random high-dimensional orders and for bringing our attention to [59]. We
would also like to thank the referees for helpful feedback. Michael Anastos is supported
by the European Union’s Horizon 2020 research and innovation programme under the
Marie Skłodowska-Curie grant agreement No. 101034413. Matthew Kwan is supported
by ERC Starting Grant ‘RANDSTRUCT’ No. 101076777, also funded by the European Union.
Zhihan Jin and Benny Sudakov are supported by SNSF grant 200021-228014.
article_number: e55
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Michael
full_name: Anastos, Michael
id: 0b2a4358-bb35-11ec-b7b9-e3279b593dbb
last_name: Anastos
- first_name: Zhihan
full_name: Jin, Zhihan
last_name: Jin
- first_name: Matthew Alan
full_name: Kwan, Matthew Alan
id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
last_name: Kwan
orcid: 0000-0002-4003-7567
- first_name: Benny
full_name: Sudakov, Benny
last_name: Sudakov
citation:
ama: Anastos M, Jin Z, Kwan MA, Sudakov B. Extremal, enumerative and probabilistic
results on ordered hypergraph matchings. Forum of Mathematics, Sigma. 2025;13.
doi:10.1017/fms.2024.144
apa: Anastos, M., Jin, Z., Kwan, M. A., & Sudakov, B. (2025). Extremal, enumerative
and probabilistic results on ordered hypergraph matchings. Forum of Mathematics,
Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2024.144
chicago: Anastos, Michael, Zhihan Jin, Matthew Alan Kwan, and Benny Sudakov. “Extremal,
Enumerative and Probabilistic Results on Ordered Hypergraph Matchings.” Forum
of Mathematics, Sigma. Cambridge University Press, 2025. https://doi.org/10.1017/fms.2024.144.
ieee: M. Anastos, Z. Jin, M. A. Kwan, and B. Sudakov, “Extremal, enumerative and
probabilistic results on ordered hypergraph matchings,” Forum of Mathematics,
Sigma, vol. 13. Cambridge University Press, 2025.
ista: Anastos M, Jin Z, Kwan MA, Sudakov B. 2025. Extremal, enumerative and probabilistic
results on ordered hypergraph matchings. Forum of Mathematics, Sigma. 13, e55.
mla: Anastos, Michael, et al. “Extremal, Enumerative and Probabilistic Results on
Ordered Hypergraph Matchings.” Forum of Mathematics, Sigma, vol. 13, e55,
Cambridge University Press, 2025, doi:10.1017/fms.2024.144.
short: M. Anastos, Z. Jin, M.A. Kwan, B. Sudakov, Forum of Mathematics, Sigma 13
(2025).
corr_author: '1'
date_created: 2025-03-20T12:59:14Z
date_published: 2025-03-14T00:00:00Z
date_updated: 2025-09-30T11:18:57Z
day: '14'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.1017/fms.2024.144
ec_funded: 1
external_id:
arxiv:
- '2308.12268'
isi:
- '001444429200001'
file:
- access_level: open_access
checksum: f396270ad78c1ed67095c8e5a66fca26
content_type: application/pdf
creator: dernst
date_created: 2025-04-03T11:24:35Z
date_updated: 2025-04-03T11:24:35Z
file_id: '19468'
file_name: 2025_ForumMathSigma_Anastos.pdf
file_size: 630297
relation: main_file
success: 1
file_date_updated: 2025-04-03T11:24:35Z
has_accepted_license: '1'
intvolume: ' 13'
isi: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
- _id: bd95085b-d553-11ed-ba76-e55d3349be45
grant_number: '101076777'
name: Randomness and structure in combinatorics
publication: Forum of Mathematics, Sigma
publication_identifier:
issn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Extremal, enumerative and probabilistic results on ordered hypergraph matchings
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: 13
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '22158'
abstract:
- lang: eng
text: "The triangle removal states that if G contains edge-disjoint triangles,
then G contains triangles. Unfortunately, there are no sensible bounds on the
order of growth of , and at any rate, it is known that is not polynomial in .
Csaba recently obtained an asymmetric variant of the triangle removal, stating
that if G contains edge-disjoint triangles, then G contains copies of . To this
end, he devised a new variant of Szemerédi’s regularity lemma. We obtain the following
results:\r\n\r\n• We first give a regularity-free proof of Csaba’s theorem, which
improves the number of copies of to the optimal number .\r\n\r\n• We say that
H is -abundant if every graph containing edge-disjoint triangles has copies
of H. It is easy to see that a -abundant graph must be triangle-free and tripartite.
Given our first result, it is natural to ask if all triangle-free tripartite graphs
are -abundant. Our second result is that assuming a well-known conjecture of Ruzsa
in additive number theory, the answer to this question is negative.\r\n\r\nOur
proofs use a mix of combinatorial, number-theoretic, probabilistic and Ramsey-type
arguments."
article_number: e38
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lior
full_name: Gishboliner, Lior
last_name: Gishboliner
- first_name: Asaf
full_name: Shapira, Asaf
last_name: Shapira
- first_name: Yuval
full_name: Wigderson, Yuval
id: 2d0023a0-1567-11f0-833d-d5c1e476d4b5
last_name: Wigderson
citation:
ama: Gishboliner L, Shapira A, Wigderson Y. An efficient asymmetric removal lemma
and its limitations. Forum of Mathematics, Sigma. 2025;13. doi:10.1017/fms.2024.68
apa: Gishboliner, L., Shapira, A., & Wigderson, Y. (2025). An efficient asymmetric
removal lemma and its limitations. Forum of Mathematics, Sigma. Cambridge
University Press. https://doi.org/10.1017/fms.2024.68
chicago: Gishboliner, Lior, Asaf Shapira, and Yuval Wigderson. “An Efficient Asymmetric
Removal Lemma and Its Limitations.” Forum of Mathematics, Sigma. Cambridge
University Press, 2025. https://doi.org/10.1017/fms.2024.68.
ieee: L. Gishboliner, A. Shapira, and Y. Wigderson, “An efficient asymmetric removal
lemma and its limitations,” Forum of Mathematics, Sigma, vol. 13. Cambridge
University Press, 2025.
ista: Gishboliner L, Shapira A, Wigderson Y. 2025. An efficient asymmetric removal
lemma and its limitations. Forum of Mathematics, Sigma. 13, e38.
mla: Gishboliner, Lior, et al. “An Efficient Asymmetric Removal Lemma and Its Limitations.”
Forum of Mathematics, Sigma, vol. 13, e38, Cambridge University Press,
2025, doi:10.1017/fms.2024.68.
short: L. Gishboliner, A. Shapira, Y. Wigderson, Forum of Mathematics, Sigma 13
(2025).
date_created: 2026-06-29T10:51:07Z
date_published: 2025-02-10T00:00:00Z
date_updated: 2026-07-08T10:31:22Z
day: '10'
doi: 10.1017/fms.2024.68
extern: '1'
external_id:
arxiv:
- '2301.07693'
intvolume: ' 13'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2301.07693
mathsc:
- 05C35
- 11B75
month: '02'
oa: 1
oa_version: Preprint
publication: Forum of Mathematics, Sigma
publication_identifier:
issn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: An efficient asymmetric removal lemma and its limitations
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2025'
...
---
_id: '18107'
abstract:
- lang: eng
text: We consider a dilute fully spin-polarized Fermi gas at positive temperature
in dimensions d∈{1,2,3} . We show that the pressure of the interacting gas is
bounded from below by that of the free gas plus, to leading order, an explicit
term of order adρ2+2/d, where a is the p-wave scattering length of the repulsive
interaction and ρ is the particle density. The results are valid for a wide
range of repulsive interactions, including that of a hard core, and uniform in
temperatures at most of the order of the Fermi temperature. A central ingredient
in the proof is a rigorous implementation of the fermionic cluster expansion of
Gaudin, Gillespie and Ripka (Nucl. Phys. A, 176.2 (1971), pp. 237–260).
acknowledgement: 'Financial support by the Austrian Science Fund (FWF) through grant
DOI: 10.55776/I6427 (as part of the SFB/TRR 352) is gratefully acknowledged.'
article_number: e78
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Lauritsen AB, Seiringer R. Pressure of a dilute spin-polarized Fermi gas:
Lower bound. Forum of Mathematics, Sigma. 2024;12. doi:10.1017/fms.2024.56'
apa: 'Lauritsen, A. B., & Seiringer, R. (2024). Pressure of a dilute spin-polarized
Fermi gas: Lower bound. Forum of Mathematics, Sigma. Cambridge University
Press. https://doi.org/10.1017/fms.2024.56'
chicago: 'Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Pressure of a Dilute
Spin-Polarized Fermi Gas: Lower Bound.” Forum of Mathematics, Sigma. Cambridge
University Press, 2024. https://doi.org/10.1017/fms.2024.56.'
ieee: 'A. B. Lauritsen and R. Seiringer, “Pressure of a dilute spin-polarized Fermi
gas: Lower bound,” Forum of Mathematics, Sigma, vol. 12. Cambridge University
Press, 2024.'
ista: 'Lauritsen AB, Seiringer R. 2024. Pressure of a dilute spin-polarized Fermi
gas: Lower bound. Forum of Mathematics, Sigma. 12, e78.'
mla: 'Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Pressure of a Dilute Spin-Polarized
Fermi Gas: Lower Bound.” Forum of Mathematics, Sigma, vol. 12, e78, Cambridge
University Press, 2024, doi:10.1017/fms.2024.56.'
short: A.B. Lauritsen, R. Seiringer, Forum of Mathematics, Sigma 12 (2024).
corr_author: '1'
date_created: 2024-09-20T12:25:25Z
date_published: 2024-09-09T00:00:00Z
date_updated: 2026-04-07T13:01:40Z
day: '09'
ddc:
- '510'
department:
- _id: GradSch
- _id: RoSe
doi: 10.1017/fms.2024.56
external_id:
arxiv:
- '2407.05990'
isi:
- '001307817400001'
file:
- access_level: open_access
checksum: 330b881240013213a8e08538fec13d29
content_type: application/pdf
creator: dernst
date_created: 2024-09-23T09:56:17Z
date_updated: 2024-09-23T09:56:17Z
file_id: '18126'
file_name: 2024_ForumMath_Lauritsen.pdf
file_size: 599886
relation: main_file
success: 1
file_date_updated: 2024-09-23T09:56:17Z
has_accepted_license: '1'
intvolume: ' 12'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Forum of Mathematics, Sigma
publication_identifier:
issn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
related_material:
record:
- id: '18135'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: 'Pressure of a dilute spin-polarized Fermi gas: Lower bound'
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: 12
year: '2024'
...
---
_id: '12148'
abstract:
- lang: eng
text: 'We prove a general local law for Wigner matrices that optimally handles observables
of arbitrary rank and thus unifies the well-known averaged and isotropic local
laws. As an application, we prove a central limit theorem in quantum unique ergodicity
(QUE): that is, we show that the quadratic forms of a general deterministic matrix
A on the bulk eigenvectors of a Wigner matrix have approximately Gaussian fluctuation.
For the bulk spectrum, we thus generalise our previous result [17] as valid for
test matrices A of large rank as well as the result of Benigni and Lopatto [7]
as valid for specific small-rank observables.'
acknowledgement: L.E. acknowledges support by ERC Advanced Grant ‘RMTBeyond’ No. 101020331.
D.S. acknowledges the support of Dr. Max Rössler, the Walter Haefner Foundation
and the ETH Zürich Foundation.
article_number: e96
article_processing_charge: No
article_type: original
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: Dominik J
full_name: Schröder, Dominik J
id: 408ED176-F248-11E8-B48F-1D18A9856A87
last_name: Schröder
orcid: 0000-0002-2904-1856
citation:
ama: Cipolloni G, Erdös L, Schröder DJ. Rank-uniform local law for Wigner matrices.
Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2022.86
apa: Cipolloni, G., Erdös, L., & Schröder, D. J. (2022). Rank-uniform local
law for Wigner matrices. Forum of Mathematics, Sigma. Cambridge University
Press. https://doi.org/10.1017/fms.2022.86
chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Rank-Uniform
Local Law for Wigner Matrices.” Forum of Mathematics, Sigma. Cambridge
University Press, 2022. https://doi.org/10.1017/fms.2022.86.
ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Rank-uniform local law for Wigner
matrices,” Forum of Mathematics, Sigma, vol. 10. Cambridge University Press,
2022.
ista: Cipolloni G, Erdös L, Schröder DJ. 2022. Rank-uniform local law for Wigner
matrices. Forum of Mathematics, Sigma. 10, e96.
mla: Cipolloni, Giorgio, et al. “Rank-Uniform Local Law for Wigner Matrices.” Forum
of Mathematics, Sigma, vol. 10, e96, Cambridge University Press, 2022, doi:10.1017/fms.2022.86.
short: G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
corr_author: '1'
date_created: 2023-01-12T12:07:30Z
date_published: 2022-10-27T00:00:00Z
date_updated: 2025-04-14T07:57:18Z
day: '27'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1017/fms.2022.86
ec_funded: 1
external_id:
isi:
- '000873719200001'
file:
- access_level: open_access
checksum: 94a049aeb1eea5497aa097712a73c400
content_type: application/pdf
creator: dernst
date_created: 2023-01-24T10:02:40Z
date_updated: 2023-01-24T10:02:40Z
file_id: '12356'
file_name: 2022_ForumMath_Cipolloni.pdf
file_size: 817089
relation: main_file
success: 1
file_date_updated: 2023-01-24T10:02:40Z
has_accepted_license: '1'
intvolume: ' 10'
isi: 1
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
- Geometry and Topology
- Mathematical Physics
- Statistics and Probability
- Algebra and Number Theory
- Theoretical Computer Science
- Analysis
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Forum of Mathematics, Sigma
publication_identifier:
issn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Rank-uniform local law 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: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 10
year: '2022'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '19491'
abstract:
- lang: eng
text: Using a recent breakthrough of Smith [18], we improve the results of Fouvry
and Klüners [4, 5] on the solubility of the negative Pell equation. Let D denote
the set of positive squarefree integers having no prime factors congruent to 3
modulo 4 . Stevenhagen [19] conjectured that the density of d in D such that the
negative Pell equation x2−dy2=−1 is solvable with x,y∈Z is 58.1% , to the nearest
tenth of a percent. By studying the distribution of the 8 -rank of narrow class
groups Cl+(d) of Q(√d) , we prove that the infimum of this density is at least
53.8% .
article_number: e46
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Yik Tung
full_name: Chan, Yik Tung
id: c4c0afc8-9262-11ed-9231-d8b0bc743af1
last_name: Chan
orcid: 0000-0001-8467-4106
- first_name: Peter
full_name: Koymans, Peter
last_name: Koymans
- first_name: Djordjo
full_name: Milovic, Djordjo
last_name: Milovic
- first_name: Carlo
full_name: Pagano, Carlo
last_name: Pagano
citation:
ama: Chan S, Koymans P, Milovic D, Pagano C. The 8-rank of the narrow class group
and the negative Pell equation. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2022.40
apa: Chan, S., Koymans, P., Milovic, D., & Pagano, C. (2022). The 8-rank of
the narrow class group and the negative Pell equation. Forum of Mathematics,
Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2022.40
chicago: Chan, Stephanie, Peter Koymans, Djordjo Milovic, and Carlo Pagano. “The
8-Rank of the Narrow Class Group and the Negative Pell Equation.” Forum of
Mathematics, Sigma. Cambridge University Press, 2022. https://doi.org/10.1017/fms.2022.40.
ieee: S. Chan, P. Koymans, D. Milovic, and C. Pagano, “The 8-rank of the narrow
class group and the negative Pell equation,” Forum of Mathematics, Sigma,
vol. 10. Cambridge University Press, 2022.
ista: Chan S, Koymans P, Milovic D, Pagano C. 2022. The 8-rank of the narrow class
group and the negative Pell equation. Forum of Mathematics, Sigma. 10, e46.
mla: Chan, Stephanie, et al. “The 8-Rank of the Narrow Class Group and the Negative
Pell Equation.” Forum of Mathematics, Sigma, vol. 10, e46, Cambridge University
Press, 2022, doi:10.1017/fms.2022.40.
short: S. Chan, P. Koymans, D. Milovic, C. Pagano, Forum of Mathematics, Sigma 10
(2022).
date_created: 2025-04-05T10:51:00Z
date_published: 2022-05-17T00:00:00Z
date_updated: 2025-07-10T11:51:47Z
day: '17'
ddc:
- '510'
doi: 10.1017/fms.2022.40
extern: '1'
external_id:
arxiv:
- '1908.01752'
has_accepted_license: '1'
intvolume: ' 10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1017/fms.2022.40
month: '05'
oa: 1
oa_version: Published Version
publication: Forum of Mathematics, Sigma
publication_identifier:
issn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: The 8-rank of the narrow class group and the negative Pell equation
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10
year: '2022'
...
---
_id: '6355'
abstract:
- lang: eng
text: We prove that any cyclic quadrilateral can be inscribed in any closed convex
C1-curve. The smoothness condition is not required if the quadrilateral is a
rectangle.
article_number: e7
article_processing_charge: No
arxiv: 1
author:
- first_name: Arseniy
full_name: Akopyan, Arseniy
id: 430D2C90-F248-11E8-B48F-1D18A9856A87
last_name: Akopyan
orcid: 0000-0002-2548-617X
- first_name: Sergey
full_name: Avvakumov, Sergey
id: 3827DAC8-F248-11E8-B48F-1D18A9856A87
last_name: Avvakumov
orcid: 0000-0002-7840-5062
citation:
ama: Akopyan A, Avvakumov S. Any cyclic quadrilateral can be inscribed in any closed
convex smooth curve. Forum of Mathematics, Sigma. 2018;6. doi:10.1017/fms.2018.7
apa: Akopyan, A., & Avvakumov, S. (2018). Any cyclic quadrilateral can be inscribed
in any closed convex smooth curve. Forum of Mathematics, Sigma. Cambridge
University Press. https://doi.org/10.1017/fms.2018.7
chicago: Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be
Inscribed in Any Closed Convex Smooth Curve.” Forum of Mathematics, Sigma.
Cambridge University Press, 2018. https://doi.org/10.1017/fms.2018.7.
ieee: A. Akopyan and S. Avvakumov, “Any cyclic quadrilateral can be inscribed in
any closed convex smooth curve,” Forum of Mathematics, Sigma, vol. 6. Cambridge
University Press, 2018.
ista: Akopyan A, Avvakumov S. 2018. Any cyclic quadrilateral can be inscribed in
any closed convex smooth curve. Forum of Mathematics, Sigma. 6, e7.
mla: Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed
in Any Closed Convex Smooth Curve.” Forum of Mathematics, Sigma, vol. 6,
e7, Cambridge University Press, 2018, doi:10.1017/fms.2018.7.
short: A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
corr_author: '1'
date_created: 2019-04-30T06:09:57Z
date_published: 2018-05-31T00:00:00Z
date_updated: 2026-04-08T07:25:54Z
day: '31'
ddc:
- '510'
department:
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title: Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
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