Edit Profile (opens in new tab) Avni, Nir Co-Author Distance Author ID: avni.nir Published as: Avni, Nir Documents Indexed: 31 Publications since 2005, including 7 Additional arXiv Preprints 1 Further Contribution Co-Authors: 22 Co-Authors with 28 Joint Publications 722 Co-Co-Authors all top 5 Co-Authors 3 single-authored 9 Aizenbud, Avraham 6 Onn, Uri 5 Klopsch, Benjamin 5 Meiri, Chen 5 Voll, Christopher 2 Breuer, Jonathan 2 Glazer, Itay 2 Rubio, Roberto 2 Simon, Barry 1 Garion, Shelly 1 Gelander, Tsachik 1 Gourevitch, Dmitry 1 Hrushovski, Ehud 1 Kalai, Gil 1 Kassabov, Martin 1 Kazhdan, David 1 Krauz, Yoav 1 Lim, Seonhee 1 Lubotzky, Alexander 1 Nevo, Eran 1 Prasad, Amritanshu 1 Shalev, Aner 1 Vaserstein, Leonid N. 1 Weiss, Benjamin all top 5 Serials 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Geometric and Functional Analysis. GAFA 2 Communications in Algebra 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Proceedings of the London Mathematical Society. Third Series 1 Electronic Research Announcements of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Modern Dynamics 1 Pure and Applied Functional Analysis all top 5 Fields 23 Group theory and generalizations (20-XX) 10 Topological groups, Lie groups (22-XX) 9 Number theory (11-XX) 9 Algebraic geometry (14-XX) 4 Abstract harmonic analysis (43-XX) 4 Probability theory and stochastic processes (60-XX) 3 Mathematical logic and foundations (03-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 170 times in 114 Documents Cited by ▼ Year ▼ Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups. Zbl 1281.22005 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 32 2013 Representation growth and rational singularities of the moduli space of local systems. Zbl 1401.14057 Aizenbud, Avraham; Avni, Nir 22 2016 Arithmetic groups have rational representation growth. Zbl 1244.20043 Avni, Nir 11 2011 Similarity classes of integral \(\mathfrak p\)-adic matrices and representation zeta functions of groups of type \(\mathsf{A}_{2}\). Zbl 1409.11071 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 11 2016 Periodic Jacobi matrices on trees. Zbl 1512.47056 Avni, Nir; Breuer, Jonathan; Simon, Barry 11 2020 Representation zeta functions of some compact \(p\)-adic analytic groups. Zbl 1281.22004 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 10 2012 Spherical pairs over close local fields. Zbl 1257.22015 Aizenbud, Avraham; Avni, Nir; Gourevitch, Dmitry 10 2012 Similarity classes of \(3 \times 3\) matrices over a local principal ideal ring. Zbl 1176.15013 Avni, Nir; Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid 9 2009 First order rigidity of non-uniform higher rank arithmetic groups. Zbl 1454.20001 Avni, Nir; Lubotzky, Alexander; Meiri, Chen 9 2019 The value ring of geometric motivic integration, and the Iwahori Hecke algebra of \(\text{SL}_2\). With an appendix by Nir Avni. Zbl 1213.03046 Hrushovski, Ehud; Kazhdan, David 8 2008 Word values in \(p\)-adic and adelic groups. Zbl 1288.20062 Avni, Nir; Gelander, Tsachik; Kassabov, Martin; Shalev, Aner 8 2013 Arithmetic groups, base change, and representation growth. Zbl 1348.20054 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 7 2016 Entropy theory for cross-sections. Zbl 1191.37006 Avni, Nir 6 2010 Counting points of schemes over finite rings and counting representations of arithmetic lattices. Zbl 1436.14044 Aizenbud, Avraham; Avni, Nir 6 2018 On commensurator growth. Zbl 1260.22003 Avni, Nir; Lim, Seonhee; Nevo, Eran 5 2012 On representation zeta-functions of groups and a conjecture of Larsen-Lubotzky. Zbl 1186.22018 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 4 2010 Spectral and mixing properties of actions of amenable groups. Zbl 1089.37002 Avni, Nir 4 2005 Words have bounded width in \(\mathrm{SL}(n,\mathbb{Z})\). Zbl 1454.20097 Avni, Nir; Meiri, Chen 3 2019 Connectivity of the product replacement graph of simple groups of bounded Lie rank. Zbl 1158.20040 Avni, Nir; Garion, Shelly 1 2008 Pointwise surjective presentations of stacks. Zbl 1507.14004 Aizenbud, Avraham; Avni, Nir 1 2022 Pointwise surjective presentations of stacks. Zbl 1507.14004 Aizenbud, Avraham; Avni, Nir 1 2022 Periodic Jacobi matrices on trees. Zbl 1512.47056 Avni, Nir; Breuer, Jonathan; Simon, Barry 11 2020 First order rigidity of non-uniform higher rank arithmetic groups. Zbl 1454.20001 Avni, Nir; Lubotzky, Alexander; Meiri, Chen 9 2019 Words have bounded width in \(\mathrm{SL}(n,\mathbb{Z})\). Zbl 1454.20097 Avni, Nir; Meiri, Chen 3 2019 Counting points of schemes over finite rings and counting representations of arithmetic lattices. Zbl 1436.14044 Aizenbud, Avraham; Avni, Nir 6 2018 Representation growth and rational singularities of the moduli space of local systems. Zbl 1401.14057 Aizenbud, Avraham; Avni, Nir 22 2016 Similarity classes of integral \(\mathfrak p\)-adic matrices and representation zeta functions of groups of type \(\mathsf{A}_{2}\). Zbl 1409.11071 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 11 2016 Arithmetic groups, base change, and representation growth. Zbl 1348.20054 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 7 2016 Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups. Zbl 1281.22005 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 32 2013 Word values in \(p\)-adic and adelic groups. Zbl 1288.20062 Avni, Nir; Gelander, Tsachik; Kassabov, Martin; Shalev, Aner 8 2013 Representation zeta functions of some compact \(p\)-adic analytic groups. Zbl 1281.22004 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 10 2012 Spherical pairs over close local fields. Zbl 1257.22015 Aizenbud, Avraham; Avni, Nir; Gourevitch, Dmitry 10 2012 On commensurator growth. Zbl 1260.22003 Avni, Nir; Lim, Seonhee; Nevo, Eran 5 2012 Arithmetic groups have rational representation growth. Zbl 1244.20043 Avni, Nir 11 2011 Entropy theory for cross-sections. Zbl 1191.37006 Avni, Nir 6 2010 On representation zeta-functions of groups and a conjecture of Larsen-Lubotzky. Zbl 1186.22018 Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 4 2010 Similarity classes of \(3 \times 3\) matrices over a local principal ideal ring. Zbl 1176.15013 Avni, Nir; Onn, Uri; Prasad, Amritanshu; Vaserstein, Leonid 9 2009 The value ring of geometric motivic integration, and the Iwahori Hecke algebra of \(\text{SL}_2\). With an appendix by Nir Avni. Zbl 1213.03046 Hrushovski, Ehud; Kazhdan, David 8 2008 Connectivity of the product replacement graph of simple groups of bounded Lie rank. Zbl 1158.20040 Avni, Nir; Garion, Shelly 1 2008 Spectral and mixing properties of actions of amenable groups. Zbl 1089.37002 Avni, Nir 4 2005 all cited Publications top 5 cited Publications all top 5 Cited by 141 Authors 10 Avni, Nir 8 Voll, Christopher 6 Aizenbud, Avraham 6 Klopsch, Benjamin 6 Rossmann, Tobias 5 Onn, Uri 4 Glazer, Itay 4 Hendel, Yotam I. 4 Kionke, Steffen 4 Larsen, Michael Jeffrey 3 Bowen, Lewis Phylip 3 Cluckers, Raf 3 Kim, Donghan 3 Kunyavskiĭ, Boris Èmmanuilovich 3 Lim, Seonhee 3 Singla, Pooja 3 Stasinski, Alexander 2 Balu, Radhakrishnan 2 Bardestani, Mohammad 2 Bou-Rabee, Khalid 2 Delorme, Patrick 2 Gordeev, Nikolai L. 2 Gourevitch, Dmitry 2 Karai, Keivan Mallahi 2 Meiri, Chen 2 Mezer, Dor 2 Mograby, Gamal 2 Myasnikov, Alexei G. 2 Okoudjou, Kasso A. 2 Sabri, Mostafa 2 Salmasian, Hadi 2 Sayag, Eitan 2 Schneider, Jakob 2 Shalev, Aner 2 Shechter, Shai 2 Sohrabi, Mahmood 2 Studenmund, Daniel 2 Teplyaev, Alexander 2 Thom, Andreas Berthold 2 Vannacci, Matteo 2 Zordan, Michele 1 Abért, Miklós 1 Ammari, Kais 1 Anantharaman, Nalini 1 André, Simon 1 Aptekarev, Alexander Ivanovich 1 Austin, Tim D. 1 Bakić, Petar 1 Bakker, Lennard F. 1 Bartholdi, Laurent 1 Bellamy, Gwyn 1 Bhaskar Sharma, Uday 1 Blakaj, Vjosa 1 Bondarenko, Vitalij M. 1 Bortosh, M. Yu. 1 Bou-Rabee, Khalil 1 Budur, Nero 1 Bunina, Elena Igor’evna 1 Choudhury, Utsav 1 Christiansen, Jacob Stordal 1 Corob Cook, Ged 1 de la Harpe, Pierre 1 Denisov, Sergey A. 1 Deshmukh, Neeraj 1 Detinko, Alla S. 1 Di Nezza, Eleonora 1 Dooley, Anthony Haynes 1 Dung, Duong Hoang 1 Ezzat, Shannon 1 Favre, Charles 1 Fruchter, Jonathan 1 Garza-Vargas, Jorge 1 Ghosh, Amit 1 Glasner, Yair 1 Golodets, Valentin Yakovlevich 1 González-Sánchez, Jon 1 Greenfeld, Be’eri 1 Gvozdevsky, Pavel 1 Halupczok, Immanuel 1 Harinck, Pascale 1 Häsä, Jokke 1 Hassain, M. 1 Hatton, Richard 1 Hess, Zhaoxia W. 1 Hochman, Michael 1 Hogadi, Amit 1 Hong, Jiuzu 1 Hui, Chun Yin 1 Ingremeau, Maxime 1 Jaikin-Zapirain, Andrei 1 Jambor, Sebastian 1 Jiang, Dihua 1 Kaletha, Tasho 1 Kapovich, Michael 1 Kazhdan, David 1 Kontorovich, Alex V. 1 Kostenko, Aleksey S. 1 Kozma, Gady 1 Krakovski, Roi 1 Kulkarni, Archit ...and 41 more Authors all top 5 Cited in 59 Serials 8 Journal of Algebra 6 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 4 Advances in Mathematics 4 Mathematische Zeitschrift 4 Ergodic Theory and Dynamical Systems 3 Journal of Mathematical Physics 3 Canadian Journal of Mathematics 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Journal of Group Theory 3 Annals of Mathematics. Second Series 3 Algebra & Number Theory 2 Communications in Algebra 2 Journal d’Analyse Mathématique 2 Annales de l’Institut Fourier 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 International Journal of Algebra and Computation 2 IMRN. International Mathematics Research Notices 2 Geometric and Functional Analysis. GAFA 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 European Journal of Mathematics 1 Communications in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Annals of Pure and Applied Logic 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 New Zealand Journal of Mathematics 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Izvestiya: Mathematics 1 Transformation Groups 1 Abstract and Applied Analysis 1 Geometry & Topology 1 Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Groups, Geometry, and Dynamics 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Forum of Mathematics, Pi 1 Transactions of the London Mathematical Society 1 Annals of \(K\)-Theory all top 5 Cited in 31 Fields 70 Group theory and generalizations (20-XX) 38 Topological groups, Lie groups (22-XX) 35 Number theory (11-XX) 24 Algebraic geometry (14-XX) 13 Combinatorics (05-XX) 10 Mathematical logic and foundations (03-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Operator theory (47-XX) 7 Quantum theory (81-XX) 5 Measure and integration (28-XX) 4 Nonassociative rings and algebras (17-XX) 4 Ordinary differential equations (34-XX) 3 Associative rings and algebras (16-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 2 Commutative algebra (13-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year