• 119 Citations
20052023
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Research Output 2005 2019

  • 119 Citations
  • 18 Article
  • 1 Conference contribution
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Article
2019

Bounds on multiplicities of spherical spaces over finite fields

Aizenbud, A. & Avni, N., Sep 1 2019, In : Journal of Pure and Applied Algebra. 223, 9, p. 3859-3868 10 p.

Research output: Contribution to journalArticle

Group Scheme
Reductive Group
Galois field
Multiplicity
Explicit Bounds

First order rigidity of non-uniform higher rank arithmetic groups

Avni, N., Lubotzky, A. & Meiri, C., Jan 1 2019, In : Inventiones Mathematicae.

Research output: Contribution to journalArticle

Arithmetic Groups
Finitely Generated Group
Rigidity
Isomorphic
First-order
2018
2 Citations (Scopus)

Counting points of schemes over finite rings and counting representations of arithmetic lattices

Aizenbud, A. & Avni, N., Oct 1 2018, In : Duke Mathematical Journal. 167, 14, p. 2721-2743 23 p.

Research output: Contribution to journalArticle

Finite Rings
Counting
n-dimensional
Isomorphism
Count
2016
4 Citations (Scopus)

Arithmetic Groups, Base Change, and Representation Growth

Avni, N., Klopsch, B., Onn, U. & Voll, C., Feb 1 2016, In : Geometric and Functional Analysis. 26, 1, p. 67-135 69 p.

Research output: Contribution to journalArticle

Arithmetic Groups
Base Change
Congruence Subgroups
Affine Group
Semisimple Groups
9 Citations (Scopus)

Representation growth and rational singularities of the moduli space of local systems

Aizenbud, A. & Avni, N., Apr 1 2016, In : Inventiones Mathematicae. 204, 1, p. 245-316 72 p.

Research output: Contribution to journalArticle

Rational Singularities
Local System
Moduli Space
Asymptotic Representation
Semisimple Groups
8 Citations (Scopus)

Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A2

Avni, N., Klopsch, B., Onn, U. & Voll, C., Feb 1 2016, In : Proceedings of the London Mathematical Society. 112, 2, p. 267-350 84 p.

Research output: Contribution to journalArticle

P-adic
Riemann zeta function
Valuation Ring
Clifford Theory
Arithmetic Groups
2013
27 Citations (Scopus)

Representation zeta functions of compact p-adic analytic groups and arithmetic groups

Avni, N., Klopsch, B., Onn, U. & Voll, C., Jan 15 2013, In : Duke Mathematical Journal. 162, 1, p. 111-197 87 p.

Research output: Contribution to journalArticle

Arithmetic Groups
P-adic Groups
Analytic group
Riemann zeta function
P-adic
5 Citations (Scopus)

Word values in p-adic and adelic groups

Avni, N., Gelander, T., Kassabov, M. & Shalev, A., Jan 1 2013, In : Bulletin of the London Mathematical Society. 45, 6, p. 1323-1330 8 p.

Research output: Contribution to journalArticle

P-adic
Finite Simple Group
Local Ring
Algebraic Groups
Simple group
2012
4 Citations (Scopus)

On commensurator growth

Avni, N., Lim, S. & Nevo, E., Mar 1 2012, In : Israel Journal of Mathematics. 188, 1, p. 259-279 21 p.

Research output: Contribution to journalArticle

Topological group
Compact Group
Locally Compact
Subgroup
Invariant
6 Citations (Scopus)

Spherical pairs over close local fields

Aizenbud, A., Avni, N. & Gourevitch, D., Nov 1 2012, In : Commentarii Mathematici Helvetici. 87, 4, p. 929-962 34 p.

Research output: Contribution to journalArticle

Local Field
Gelfand Pairs
G-space
Harmonic Analysis
Hecke Algebra
2011
13 Citations (Scopus)

Arithmetic groups have rational representation growth

Avni, N., Sep 1 2011, In : Annals of Mathematics. 174, 2, p. 1009-1056 48 p.

Research output: Contribution to journalArticle

Arithmetic Groups
Congruence Subgroups
Semisimple Groups
Algebraic Groups
Irreducible Representation
2010
6 Citations (Scopus)

Entropy theory for cross-sections

Avni, N., Mar 1 2010, In : Geometric and Functional Analysis. 19, 6, p. 1515-1538 24 p.

Research output: Contribution to journalArticle

Cross section
Entropy
Amenable Group

Generating product systems

Avni, N. & Weiss, B., Apr 1 2010, In : Journal of Modern Dynamics. 4, 2, p. 257-270 14 p.

Research output: Contribution to journalArticle

Product Systems
Subalgebra
Partition
Theorem
7 Citations (Scopus)

On representation zeta functions of groups and a conjecture of Larsen-Lubotzky

Avni, N., Klopsch, B., Onn, U. & Voll, C., Apr 1 2010, In : Comptes Rendus Mathematique. 348, 7-8, p. 363-367 5 p.

Research output: Contribution to journalArticle

P-adic
Riemann zeta function
Arithmetic Groups
Pro-p Groups
Abscissa
2009
13 Citations (Scopus)

Similarity classes of 3 × 3 matrices over a local principal ideal ring

Avni, N., Onn, U., Prasad, A. & Vaserstein, L., Aug 1 2009, In : Communications in Algebra. 37, 8, p. 2601-2615 15 p.

Research output: Contribution to journalArticle

Ring
Commutative Ring
Generating Function
Quotient
Similarity
2008
2 Citations (Scopus)

Connectivity of the Product Replacement Graph of simple groups of bounded Lie rank

Avni, N. & Garion, S., Jul 15 2008, In : Journal of Algebra. 320, 2, p. 945-960 16 p.

Research output: Contribution to journalArticle

Simple group
Replacement
Connectivity
Finite Simple Group
Graph in graph theory
9 Citations (Scopus)

The value ring of geometric motivic integration, and the Iwahori Hecke algebra of SL2

Hrushovski, E., Kazhdan, D. & Avni, N., Mar 1 2008, In : Geometric and Functional Analysis. 17, 6, p. 1924-1967 44 p.

Research output: Contribution to journalArticle

Motivic Integration
Geometric Integration
Iwahori-Hecke Algebra
Ring
2005
4 Citations (Scopus)

Spectral and mixing properties of actions of amenable groups

Avni, N., Jun 10 2005, In : Electronic Research Announcements of the American Mathematical Society. 11, 7, p. 57-63 7 p.

Research output: Contribution to journalArticle

Amenable Group
Entropy
Henri Léon Lebésgue
Equivalence relation
Theorem