Asymptotic invariants of discrete groups, sparse graphs and locally symmetric spaces

Project Information

InvGroGra

Grant agreement ID: 648017

DOI

10.3030/648017

Project closed

EC signature date 14 April 2015

Start date 1 July 2015

End date 30 June 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 386 250,00

EU contribution

€ 1 386 250,00

Coordinated by

HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Hungary

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (30)

A proof of Pyber's base size conjecture

Author(s): Hülya Duyan, Zoltán Halasi, Attila Maróti
Published in: Advances in Mathematics, Issue 331, 2018, Page(s) 720-747, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2018.04.009

Uniform hyperfiniteness

Author(s): Gábor Elek
Published in: Transactions of the American Mathematical Society, Issue 374/7, 2021, Page(s) 5095-5111, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8378

Set-Direct Factorizations of Groups

Author(s): Levy, Dan, Marti, Attila
Published in: JOURNAL OF ALGEBRA, 2018, ISSN 0021-8693
Publisher: Academic Press

Uniform point variance bounds in classical beta ensembles

Author(s): Joseph Najnudel, Bálint Virág
Published in: Random Matrices: Theory and Applications, 2019, Page(s) 2150033, ISSN 2010-3271
Publisher: Probability
DOI: 10.1142/s2010326321500337

On endomorphisms of the Einstein gyrogroup in arbitrary dimension

Author(s): Péter E. Frenkel
Published in: Journal of Mathematical Physics, Issue 57/3, 2016, Page(s) 032301, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.4943302

KŐNIG’S LINE COLORING AND VIZING’S THEOREMS FOR GRAPHINGS

Author(s): ENDRE CSÓKA, GÁBOR LIPPNER, OLEG PIKHURKO
Published in: Forum of Mathematics, Sigma, Issue 4, 2016, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2016.22

Finite groups with large Noether number are almost cyclic

Author(s): Pál Hegedűs, Attila Maróti, László Pyber
Published in: Annales de l'Institut Fourier, Issue 69/4, 2019, Page(s) 1739-1756, ISSN 1777-5310
Publisher: Association des Annales de institut Fourier
DOI: 10.5802/aif.3280

The bead process for beta ensembles

Author(s): Joseph Najnudel, Bálint Virág
Published in: Probability Theory and Related Fields, Issue 179/3-4, 2021, Page(s) 589-647, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-021-01034-8

Polynomial identities for matrices over the Grassmann algebra

Author(s): Péter E. Frenkel
Published in: Israel Journal of Mathematics, Issue 220/2, 2017, Page(s) 791-801, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-017-1533-8

Base sizes of primitive groups: Bounds with explicit constants

Author(s): Zoltán Halasi, Martin W. Liebeck, Attila Maróti
Published in: Journal of Algebra, Issue 521, 2019, Page(s) 16-43, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2018.10.043

The distribution of sandpile groups of random regular graphs

Author(s): András Mészáros
Published in: Transactions of the American Mathematical Society, Issue 373/9, 2020, Page(s) 6529-6594, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8127

The solution to an open problem for a caching game

Author(s): Endre Csóka, Thomas Lidbetter
Published in: Naval Research Logistics (NRL), Issue 63/1, 2016, Page(s) 23-31, ISSN 0894-069X
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/nav.21674

On the growth of L^2-invariants for sequences of lattices in Lie groups

Author(s): Miklos Abert, Nicolas Bergeron, Ian Biringer, Tsachik Gelander, Nikolay Nikolov, Jean Raimbault, Iddo Samet
Published in: Annals of Mathematics, Issue 185/3, 2017, Page(s) 711-790, ISSN 0003-486X
Publisher: Princeton University Press
DOI: 10.4007/annals.2017.185.3.1

Chromatic roots and limits of dense graphs

Author(s): P. Csikvári, P. E. Frenkel, J. Hladký and T. Hubai
Published in: Discrete Mathematics, Issue 340(5) (2017), pp. 1129–1135, 2017, ISSN 0012-365X
Publisher: Elsevier BV

A Spectral Strong Approximation Theorem for Measure Preserving Actions

Author(s): Miklos Abert
Published in: Ergodic Theory and Dynamical Systems, 2017, ISSN 0143-3857
Publisher: Cambridge University Press

Matchings in Benjamini–Schramm convergent graph sequences

Author(s): Miklós Abért, Péter Csikvári, Péter E. Frenkel, Gábor Kun
Published in: Transactions of the American Mathematical Society, Issue 368/6, 2016, Page(s) 4197-4218, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/6464

Uniformly recurrent subgroups and simple C ⁎ -algebras

Author(s): Gábor Elek
Published in: Journal of Functional Analysis, Issue 274/6, 2018, Page(s) 1657-1689, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2018.01.004

The Local Limit of Random Sorting Networks

Author(s): Omer Angel, Duncan Dauvergne, Alexander E. Holroyd, Balint Virag
Published in: Annales de l'Institut Henri Poincaré, 2017, ISSN 0294-1449
Publisher: Elsevier BV

On the graph limit question of Vera T. Sós

Author(s): Endre Csóka
Published in: Journal of Combinatorial Theory, Series B, Issue 116, 2016, Page(s) 306-311, ISSN 0095-8956
Publisher: Academic Press
DOI: 10.1016/j.jctb.2015.09.003

Amenable purely infinite actions on the non-compact Cantor set

Author(s): GÁBOR ELEK
Published in: Ergodic Theory and Dynamical Systems, Issue 40/6, 2020, Page(s) 1619-1633, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2018.121

Lower matching conjecture, and a new proof of Schrijver's and Gurvits's theorems

Author(s): Péter Csikvári
Published in: Journal of the European Mathematical Society, Issue 19/6, 2017, Page(s) 1811-1844, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/JEMS/706

Sidorenko's conjecture, colorings and independent sets

Author(s): Csikvári, Péter; Lin, Zhicong
Published in: Electronic Journal of Combinatorics, Issue 24(1), 2017, Page(s) P1.2, ISSN 1077-8926
Publisher: Electronic Journal of Combinatorics

Rank, combinatorial cost and homology torsion growth in higher rank lattices

Author(s): Miklos Abert, Tsachik Gelander, Nikolay Nikolov
Published in: Duke Mathematics, Issue Volume 166, Number 15 (2017), 2925-2964., 2017, ISSN 0012-7094
Publisher: Duke University Press

Convergence of graphs with intermediate density

Author(s): Péter E. Frenkel
Published in: Transactions of the American Mathematical Society, Issue 370/5, 2018, Page(s) 3363-3404, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7036

Bulk properties of the Airy line ensemble

Author(s): Duncan Dauvergne, Bálint Virág
Published in: The Annals of Probability, Issue 49/4, 2021, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-aop1492

Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds

Author(s): Mikołaj Frączyk
Published in: Inventiones mathematicae, Issue 224/3, 2021, Page(s) 917-985, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-020-01021-1

Note a Note on Disjoint Dijoins

Author(s): András Mészáros
Published in: Combinatorica, Issue 38/6, 2018, Page(s) 1485-1488, ISSN 0209-9683
Publisher: Springer Verlag
DOI: 10.1007/s00493-018-3862-6

Free minimal actions of countable groups with invariant probability measures

Author(s): GÁBOR ELEK
Published in: Ergodic Theory and Dynamical Systems, Issue 41/5, 2021, Page(s) 1369-1389, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2020.11

Estimating the greatest common divisor of the value of two polynomials

Author(s): Péter E. Frenkel, Gergely Zábrádi
Published in: International Journal of Number Theory, Issue 14/09, 2018, Page(s) 2543-2554, ISSN 1793-0421
Publisher: World Scientific Publishing Co
DOI: 10.1142/s1793042118501518

Counting Bounded Elements of a Number Field

Author(s): Mikołaj Fraczyk, Gergely Harcos, Péter Maga
Published in: International Mathematics Research Notices, 2020, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa126

Other (20)

Matchings on trees and the adjacency matrix: A determinantal viewpoint

Author(s): Mészáros, András
Published in: Issue 4, 2020
Publisher: arxiv

A BK inequality for random matchings

Author(s): Mészáros, András
Published in: Issue 16, 2020
Publisher: arxiv

The directed landscape

Author(s): Duncan Dauvergne, Janosch Ortmann, Balint Virag
Published in: 2018
Publisher: arxiv

Atoms of the matching measure

Author(s): Ferenc Bencs, András Mészáros
Published in: 2020
Publisher: arxiv

On the variance of the nodal volume of arithmetic random waves

Author(s): Cherubini, Giacomo; Laaksonen, Niko
Published in: Issue 9, 2020
Publisher: arxiv

Point processes, cost, and the growth of rank in locally compact groups

Author(s): Miklos Abert, Sam Mellick
Published in: 2021
Publisher: arxiv

The local weak limit of $k$-dimensional hypertrees

Author(s): Mészáros, András
Published in: Issue 2, 2021
Publisher: arxiv

On homology torsion growth

Author(s): Miklos Abert, Nicolas Bergeron, Mikolaj Fraczyk, Damien Gaboriau
Published in: 2021
Publisher: arxiv

Eigenfunctions and Random Waves in the Benjamini-Schramm limit

Author(s): Miklos Abert, Nicolas Bergeron, Etienne Le Masson
Published in: 2021
Publisher: arxiv

On the free energy density of factor models on biregular graphs

Author(s): Mészáros, András
Published in: Issue 9, 2020
Publisher: arxiv

The density hypothesis for horizontal families of lattices

Author(s): Mikołaj Frączyk, Harcos Gergely, Maga Péter, Djordje Milićević
Published in: 2020
Publisher: arxiv

Heat kernels are not uniform expanders

Author(s): Fraczyk, Mikolaj; van Limbeek, Wouter
Published in: Issue 29, 2019
Publisher: arxiv

Random homomorphisms into the orthogonality graph

Author(s): Dávid Kunszenti-Kovács, László Lovász, Balázs Szegedy
Published in: 2021
Publisher: arxiv

Uniform convergence to the Airy line ensemble

Author(s): Duncan Dauvergne, Mihai Nica, Bálint Virág
Published in: 2019
Publisher: arxiv

On the optimal rate of equidistribution in number fields

Author(s): Fraczyk, Mikolaj; Szumowicz, Anna
Published in: Issue 3, 2018
Publisher: arxiv

Growth of mod$-2$ homology in higher rank locally symmetric spaces

Author(s): Fraczyk, Mikolaj
Published in: Issue 1, 2019
Publisher: arxiv

Beyond the spherical sup-norm problem

Author(s): Valentin Blomer, Gergely Harcos, Péter Maga, Djordje Milićević
Published in: 2021
Publisher: arxiv

A full characterization of invariant embeddability of unimodular planar graphs

Author(s): Timár, Ádám; Tóth, László Márton
Published in: Issue 9, 2021
Publisher: arxiv

Unimodular measures on the space of all Riemannian manifolds

Author(s): Miklos Abert, Ian Biringer
Published in: 2020
Publisher: arxiv

Convergence of normalized Betti numbers in nonpositive curvature

Author(s): Miklos Abert, Nicolas Bergeron, Ian Biringer, Tsachik Gelander
Published in: 2021
Publisher: arxiv

Non-peer reviewed articles (9)

On percolation critical probabilities and unimodular random graphs

Author(s): Dorottya Beringer, Gábor Pete, Ádám Timár
Published in: Electronic Journal of Probability, Issue 22/none, 2017, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/17-ejp124

Kesten’s theorem for uniformly recurrent subgroups

Author(s): MIKOLAJ FRACZYK
Published in: Ergodic Theory and Dynamical Systems, Issue 40/10, 2020, Page(s) 2778-2787, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2019.16

Limiting entropy of determinantal processes

Author(s): András Mészaros
Published in: The Annals of Probability, Issue 48/5, 2020, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-aop1435

Almost commuting matrices with respect to the rank metric

Author(s): Gábor Elek, Łukasz Grabowski
Published in: Groups, Geometry, and Dynamics, 2021, ISSN 1661-7207
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/ggd/623

Uniform rank gradient, cost, and local-global convergence

Author(s): Miklós Abért, László Márton Tóth
Published in: Transactions of the American Mathematical Society, Issue 373/4, 2020, Page(s) 2311-2329, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8008

Invariant random subgroups of groups acting on rooted trees

Author(s): Ferenc Bencs, László Márton Tóth
Published in: Transactions of the American Mathematical Society, 2021, Page(s) 1, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8412

Betti numbers of Shimura curves and arithmetic three-orbifolds

Author(s): Mikołaj Frączyk, Jean Raimbault
Published in: Algebra & Number Theory, Issue 13/10, 2019, Page(s) 2359-2382, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/ant.2019.13.2359

Controllability, Matching Ratio and Graph Convergence

Author(s): Dorottya Beringer, Ádám Timár
Published in: Journal of Statistical Physics, Issue 174/5, 2019, Page(s) 1080-1103, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02225-3

Entropy and expansion

Author(s): Endre Csóka, Viktor Harangi, Bálint Virág
Published in: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Issue 56/4, 2020, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/19-aihp1044