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

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Publications

A proof of Pyber's base size conjecture

Author(s): Hülya Duyan, Zoltán Halasi, Attila Maróti
Published in: Advances in Mathematics, 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, 374/7, 2021, Page(s) 5095-5111, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/8378

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, 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, 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, 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, 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, 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, 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, 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), 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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

Matchings on trees and the adjacency matrix: A determinantal viewpoint

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

A BK inequality for random matchings

Author(s): Mészáros, András
Published in: 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: 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: 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: 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: 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: 3, 2018
Publisher: arxiv

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

Author(s): Fraczyk, Mikolaj
Published in: 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: 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

On percolation critical probabilities and unimodular random graphs

Author(s): Dorottya Beringer, Gábor Pete, Ádám Timár
Published in: Electronic Journal of Probability, 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, 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, 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, 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, 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, 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, 56/4, 2020, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/19-aihp1044