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## Abért, Miklós

Compute Distance To:
 Author ID: abert.miklos Published as: Abért, Miklós; Abert, Miklos
 Documents Indexed: 32 Publications since 2002
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#### Co-Authors

 7 single-authored 6 Nikolov, Nikolay Valeriev 4 Glasner, Yair 3 Gaboriau, Damien 3 Gelander, Tsachik 3 Virág, Bálint 2 Bergeron, Nicolas 2 Biringer, Ian 2 Csikvári, Péter 2 Elek, Gábor 2 Hubai, Tamás 2 Raimbault, Jean 2 Samet, Iddo 2 Thom, Andreas Berthold 1 Babai, László 1 Frenkel, Péter E. 1 Grunewald, Fritz J. 1 Hegedűs, Pál 1 Jaikin-Zapirain, Andrei 1 Keleti, Tamás 1 Kun, Gábor 1 Lubotzky, Alexander 1 Pyber, László 1 Szegedy, Balázs 1 Tóth, László Márton 1 Weiss, Benjamin
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#### Serials

 3 Duke Mathematical Journal 3 Transactions of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 3 Oberwolfach Reports 2 Israel Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Proceedings of the American Mathematical Society 2 Journal of Group Theory 2 Groups, Geometry, and Dynamics 1 Journal of Statistical Physics 1 The Annals of Probability 1 Publicationes Mathematicae 1 Combinatorica 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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#### Fields

 22 Group theory and generalizations (20-XX) 11 Combinatorics (05-XX) 10 Topological groups, Lie groups (22-XX) 9 Dynamical systems and ergodic theory (37-XX) 3 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 354 times in 253 Documents Cited by Year
Kesten’s theorem for invariant random subgroups. Zbl 1344.20061
Abért, Miklós; Glasner, Yair; Virág, Bálint
2014
On the growth of $$L^2$$-invariants for sequences of lattices in Lie groups. Zbl 1379.22006
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
2017
Rank gradient, cost of groups and the rank versus Heegaard genus problem. Zbl 1271.57046
Abért, Miklós; Nikolov, Nikolay
2012
Dimension and randomness in groups acting on rooted trees. Zbl 1135.20015
Abért, Miklós; Virág, Bálint
2005
The rank gradient from a combinatorial viewpoint. Zbl 1284.20047
Abért, Miklós; Jaikin-Zapirain, Andrei; Nikolov, Nikolay
2011
Bernoulli actions are weakly contained in any free action. Zbl 1268.37006
Abért, Miklós; Weiss, Benjamin
2013
On the growth of Betti numbers of locally symmetric spaces. Zbl 1223.53039
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
2011
Group laws and free subgroups in topological groups. Zbl 1095.20001
Abért, Miklós
2005
Dynamical properties of profinite actions. Zbl 1297.37004
Abért, Miklós; Elek, Gábor
2012
The measurable Kesten theorem. Zbl 1339.05365
Abért, Miklós; Glasner, Yair; Virág, Bálint
2016
On the probability of satisfying a word in a group. Zbl 1130.20052
Abért, Miklós
2006
Benjamini-Schramm convergence and the distribution of chromatic roots for sparse graphs. Zbl 1363.05118
Abért, Miklós; Hubai, Tamás
2015
Symmetric groups as products of Abelian subgroups. Zbl 1035.20001
Abért, Miklós
2002
Bounded generation and linear groups. Zbl 1059.20048
Abért, Miklós; Lubotzky, Alexander; Pyber, László
2003
Shuffle the plane. Zbl 0989.03046
Abért, Miklós; Keleti, Tamás
2002
Generic groups acting on regular trees. Zbl 1226.20021
Abért, Miklós; Glasner, Yair
2009
Matchings in Benjamini-Schramm convergent graph sequences. Zbl 1331.05176
Abért, Miklós; Csikvári, Péter; Frenkel, Péter E.; Kun, Gábor
2016
Rank, combinatorial cost, and homology torsion growth in higher rank lattices. Zbl 1386.22008
Abert, Miklos; Gelander, Tsachik; Nikolov, Nikolay
2017
Matching measure, Benjamini-Schramm convergence and the monomer-dimer free energy. Zbl 1327.82034
Abért, Miklós; Csikvári, Péter; Hubai, Tamás
2015
Congruence subgroup growth of arithmetic groups in positive characteristic. Zbl 1036.20043
Abért, Miklós; Nikolov, Nikolay; Szegedy, Balázs
2003
Hyperfinite actions on countable sets and probability measure spaces. Zbl 1348.37004
Abért, Miklós; Elek, Gábor
2012
Representing graphs by the non-commuting relation. Zbl 1121.05056
Abért, Miklós
2006
Finite groups of uniform logarithmic diameter. Zbl 1145.20022
Abért, Miklós; Babai, László
2007
Symmetric presentations of Abelian groups. Zbl 1044.20034
Abért, Miklós
2003
Most actions on regular trees are almost free. Zbl 1214.20032
Abért, Miklós; Glasner, Yair
2009
Less than continuum many translates of a compact nullset may cover any infinite profinite group. Zbl 1146.22002
Abért, Miklós
2008
On the growth of $$L^2$$-invariants for sequences of lattices in Lie groups. Zbl 1379.22006
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
2017
Rank, combinatorial cost, and homology torsion growth in higher rank lattices. Zbl 1386.22008
Abert, Miklos; Gelander, Tsachik; Nikolov, Nikolay
2017
The measurable Kesten theorem. Zbl 1339.05365
Abért, Miklós; Glasner, Yair; Virág, Bálint
2016
Matchings in Benjamini-Schramm convergent graph sequences. Zbl 1331.05176
Abért, Miklós; Csikvári, Péter; Frenkel, Péter E.; Kun, Gábor
2016
Benjamini-Schramm convergence and the distribution of chromatic roots for sparse graphs. Zbl 1363.05118
Abért, Miklós; Hubai, Tamás
2015
Matching measure, Benjamini-Schramm convergence and the monomer-dimer free energy. Zbl 1327.82034
Abért, Miklós; Csikvári, Péter; Hubai, Tamás
2015
Kesten’s theorem for invariant random subgroups. Zbl 1344.20061
Abért, Miklós; Glasner, Yair; Virág, Bálint
2014
Bernoulli actions are weakly contained in any free action. Zbl 1268.37006
Abért, Miklós; Weiss, Benjamin
2013
Rank gradient, cost of groups and the rank versus Heegaard genus problem. Zbl 1271.57046
Abért, Miklós; Nikolov, Nikolay
2012
Dynamical properties of profinite actions. Zbl 1297.37004
Abért, Miklós; Elek, Gábor
2012
Hyperfinite actions on countable sets and probability measure spaces. Zbl 1348.37004
Abért, Miklós; Elek, Gábor
2012
The rank gradient from a combinatorial viewpoint. Zbl 1284.20047
Abért, Miklós; Jaikin-Zapirain, Andrei; Nikolov, Nikolay
2011
On the growth of Betti numbers of locally symmetric spaces. Zbl 1223.53039
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
2011
Generic groups acting on regular trees. Zbl 1226.20021
Abért, Miklós; Glasner, Yair
2009
Most actions on regular trees are almost free. Zbl 1214.20032
Abért, Miklós; Glasner, Yair
2009
Less than continuum many translates of a compact nullset may cover any infinite profinite group. Zbl 1146.22002
Abért, Miklós
2008
Finite groups of uniform logarithmic diameter. Zbl 1145.20022
Abért, Miklós; Babai, László
2007
On the probability of satisfying a word in a group. Zbl 1130.20052
Abért, Miklós
2006
Representing graphs by the non-commuting relation. Zbl 1121.05056
Abért, Miklós
2006
Dimension and randomness in groups acting on rooted trees. Zbl 1135.20015
Abért, Miklós; Virág, Bálint
2005
Group laws and free subgroups in topological groups. Zbl 1095.20001
Abért, Miklós
2005
Bounded generation and linear groups. Zbl 1059.20048
Abért, Miklós; Lubotzky, Alexander; Pyber, László
2003
Congruence subgroup growth of arithmetic groups in positive characteristic. Zbl 1036.20043
Abért, Miklós; Nikolov, Nikolay; Szegedy, Balázs
2003
Symmetric presentations of Abelian groups. Zbl 1044.20034
Abért, Miklós
2003
Symmetric groups as products of Abelian subgroups. Zbl 1035.20001
Abért, Miklós
2002
Shuffle the plane. Zbl 0989.03046
Abért, Miklós; Keleti, Tamás
2002
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#### Cited by 257 Authors

 13 Abért, Miklós 12 Bowen, Lewis Phylip 9 Glasner, Yair 8 Csikvári, Péter 8 Gelander, Tsachik 7 Grigorchuk, Rostislav Ivanovich 7 Nikolov, Nikolay Valeriev 7 Raimbault, Jean 7 Tucker-Drob, Robin D. 6 Levit, Arie 5 Bartholdi, Laurent 5 Elek, Gábor 5 Ioana, Adrian 5 Kechris, Alexander S. 5 Thom, Andreas Berthold 4 Biringer, Ian 4 Erschler, Anna 4 Fernández-Alcober, Gustavo A. 4 Frenkel, Péter E. 4 Löh, Clara 4 Tamuz, Omer 4 Thillaisundaram, Anitha 4 Thomas, Simon R. 4 Virág, Bálint 3 Bader, Uri 3 Bergeron, Nicolas 3 Breuillard, Emmanuel 3 Dudko, Artem 3 Frączyk, Mikolaj 3 Hartman, Yair 3 Kochloukova, Dessislava Hristova 3 Lyons, Russell 3 Nagnibeda, Tatiana 3 Puder, Doron 3 Samet, Iddo 3 Sauer, Roman 3 Seward, Brandon 3 Shalev, Aner 3 Shusterman, Mark 3 Šunić, Zoran 3 Zugadi-Reizabal, Amaia 2 Bekka, Mohammed el Bachir 2 Bou-Rabee, Khalid 2 Boutonnet, Rémi 2 Burton, Peter J. 2 Cannizzo, Jan 2 Creutz, Darren 2 Ershov, Mikhail V. 2 Finis, Tobias 2 Gamburd, Alexander 2 Hayes, Ben 2 Hubai, Tamás 2 Kapovich, Ilya 2 Kar, Aditi 2 Kassabov, Martin 2 Klopsch, Benjamin 2 Koberda, Thomas 2 Kotschick, Dieter 2 Kravchenko, Rostyslav V. 2 Kun, Gábor 2 Lapid, Erez Moshe 2 Lécureux, Jean 2 Matte Bon, Nicolás 2 Medynets, Konstantin 2 Monod, Nicolas 2 Noce, Marialaura 2 Ol’shanskiĭ, Aleksandr Yur’evich 2 Osin, Denis V. 2 Penland, Andrew 2 Salehi Golsefidy, Alireza 2 Sarnak, Peter Clive 2 Segal, Daniel 2 Şengün, Mehmet Haluk 2 Shin, Sug Woo 2 Shokrieh, Farbod 2 Siegenthaler, Olivier 2 Souto, Juan 2 Szegedy, Balázs 2 Szyszkowski, Marcin 2 Templier, Nicolas 2 Tóth, László Márton 2 Wu, Chenxi 2 Zalesskii, Pavel 1 Aaserud, Andreas Næs 1 Akhmedov, Azer 1 Alekseev, Vadim 1 Alon, Noga M. 1 Avramidi, Grigori 1 Backhausz, Ágnes M. 1 Baik, Hyungryul 1 Balka, Richárd 1 Barlev, Jonathan 1 Barnea, Yiftach 1 Bencs, Ferenc 1 Benli, Mustafa Gökhan 1 Bernshteyn, Anton 1 Bier, Agnieszka 1 Björklund, Michael 1 Boston, Nigel 1 Bradford, Henry ...and 157 more Authors
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#### Cited in 81 Serials

 19 Israel Journal of Mathematics 16 Groups, Geometry, and Dynamics 15 Transactions of the American Mathematical Society 15 Ergodic Theory and Dynamical Systems 13 Proceedings of the American Mathematical Society 9 Journal of Algebra 8 Inventiones Mathematicae 8 International Journal of Algebra and Computation 8 Geometric and Functional Analysis. GAFA 7 Geometriae Dedicata 6 Duke Mathematical Journal 6 Mathematische Annalen 5 Bulletin of the London Mathematical Society 5 Journal of Group Theory 4 Advances in Mathematics 4 Journal of the American Mathematical Society 4 Journal of the European Mathematical Society (JEMS) 3 Communications in Algebra 3 Journal d’Analyse Mathématique 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annales de l’Institut Fourier 3 The Annals of Probability 3 Commentarii Mathematici Helvetici 3 Journal of Functional Analysis 3 Combinatorica 3 Random Structures & Algorithms 3 Geometry & Topology 2 Publications Mathématiques 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Topology and its Applications 2 European Journal of Combinatorics 2 The Electronic Journal of Combinatorics 2 Discrete and Continuous Dynamical Systems 2 Journal of the Australian Mathematical Society 2 Journal of Algebra and its Applications 2 Journal of Modern Dynamics 2 Journal of Topology and Analysis 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Journal of Statistical Physics 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Theoretical Computer Science 1 L’Enseignement Mathématique. 2e Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Topology Proceedings 1 Journal de Théorie des Nombres de Bordeaux 1 Combinatorics, Probability and Computing 1 Electronic Research Announcements of the American Mathematical Society 1 Documenta Mathematica 1 Transformation Groups 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Homotopy and Related Structures 1 Algebra & Number Theory 1 Journal of Topology 1 Advances and Applications in Discrete Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 Research in the Mathematical Sciences
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#### Cited in 32 Fields

 136 Group theory and generalizations (20-XX) 78 Topological groups, Lie groups (22-XX) 74 Dynamical systems and ergodic theory (37-XX) 55 Combinatorics (05-XX) 35 Manifolds and cell complexes (57-XX) 26 Number theory (11-XX) 21 Measure and integration (28-XX) 21 Probability theory and stochastic processes (60-XX) 19 Abstract harmonic analysis (43-XX) 13 Functional analysis (46-XX) 12 Differential geometry (53-XX) 9 Mathematical logic and foundations (03-XX) 8 Computer science (68-XX) 7 Algebraic topology (55-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Algebraic geometry (14-XX) 6 Functions of a complex variable (30-XX) 5 General topology (54-XX) 4 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Field theory and polynomials (12-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)