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Gorodnik, Alexander

Author ID: gorodnik.alexander Recent zbMATH articles by "Gorodnik, Alexander"
Published as: Gorodnik, Alexander; Gorodnik, Alex; Gorodnik, A.
Homepage: http://www.maths.bris.ac.uk/~mazag/index.html
External Links: MGP · Wikidata · GND · IdRef · theses.fr
Documents Indexed: 62 Publications since 1999, including 1 Book and 10 Additional arXiv Preprints
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 31 Co-Authors with 55 Joint Publications
606 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 419 times in 241 Documents Cited by Year
Manin’s and Peyre’s conjectures on rational points and adelic mixing. Zbl 1161.14015
Gorodnik, Alex; Maucourant, François; Oh, Hee
33
2008
Counting lattice points. Zbl 1248.37011
Gorodnik, Alexander; Nevo, Amos
29
2012
The ergodic theory of lattice subgroups. Zbl 1186.37004
Gorodnik, Alexander; Nevo, Amos
25
2009
Distribution of lattice orbits on homogeneous varieties. Zbl 1112.37001
Gorodnik, Alex; Weiss, Barak
21
2007
Exponential mixing of nilmanifold automorphisms. Zbl 1312.37007
Gorodnik, Alexander; Spatzier, Ralf
19
2014
Diophantine approximation and automorphic spectrum. Zbl 1370.11077
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
18
2013
Quantitative multiple mixing. Zbl 1442.37042
Björklund, Michael; Einsiedler, Manfred; Gorodnik, Alexander
18
2020
Open problems in dynamics and related fields. Zbl 1118.37002
Gorodnik, Alexander
16
2007
Rational points on homogeneous varieties and equidistribution of adelic periods (with appendix by Mikhail Borovoi). Zbl 1317.11069
Gorodnik, Alex; Oh, Hee
15
2011
Orbits of discrete subgroups on a symmetric space and the Furstenberg boundary. Zbl 1132.22012
Gorodnik, Alexander; Oh, Hee
14
2007
Integral points on symmetric varieties and Satake compatifications. Zbl 1231.14041
Gorodnik, Alexander; Oh, Hee; Shah, Nimish
13
2009
Metric Diophantine approximation on homogeneous varieties. Zbl 1309.37005
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
12
2014
Mixing properties of commuting nilmanifold automorphisms. Zbl 1360.37010
Gorodnik, Alexander; Spatzier, Ralf
12
2015
Best possible rates of distribution of dense lattice orbits in homogeneous spaces. Zbl 1405.37012
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
12
2018
Oppenheim conjecture for pairs consisting of a linear form and a quadratic form. Zbl 1051.11034
Gorodnik, Alexander
11
2004
Khinchin’s theorem for approximation by integral points on quadratic varieties. Zbl 1260.11049
Gorodnik, Alexander; Shah, Nimish A.
10
2011
Strong wavefront lemma and counting lattice points in sectors. Zbl 1210.22006
Gorodnik, Alexander; Oh, Hee; Shah, Nimish
10
2010
Quantitative ergodic theorems and their number-theoretic applications. Zbl 1351.37039
Gorodnik, Alexander; Nevo, Amos
9
2015
Central limit theorems for group actions which are exponentially mixing of all orders. Zbl 1494.37019
Björklund, Michael; Gorodnik, Alexander
9
2020
Uniform distribution of orbits of lattices on spaces of frames. Zbl 1067.37004
Gorodnik, Alexander
8
2004
Optimal density for values of generic polynomial maps. Zbl 1498.11168
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
8
2020
Central limit theorems for Diophantine approximants. Zbl 1456.11143
Björklund, Michael; Gorodnik, Alexander
8
2019
Lattice action on the boundary of \(\text{SL}(n,\mathbb R)\). Zbl 1050.22015
Gorodnik, Alexander
7
2003
Proximality and equidistribution on the Furstenberg boundary. Zbl 1078.37007
Gorodnik, Alexander; Maucourant, Francois
7
2005
Diophantine approximation exponents on homogeneous varieties. Zbl 1377.11088
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
7
2015
Weakly mixing group actions: a brief survey and an example. Zbl 1161.37006
Bergelson, V.; Gorodnik, A.
6
2004
Central limit theorems in the geometry of numbers. Zbl 1433.11095
Björklund, Michael; Gorodnik, Alexander
6
2017
Power-free values of polynomials on symmetric varieties. Zbl 1429.11181
Browning, T. D.; Gorodnik, A.
5
2017
Ergodic theory and the duality principle on homogeneous spaces. Zbl 1309.37009
Gorodnik, Alexander; Nevo, Amos
5
2014
Splitting fields of elements in arithmetic groups. Zbl 1372.22011
Gorodnik, Alexander; Nevo, Amos
5
2011
Lifting, restricting and sifting integral points on affine homogeneous varieties. Zbl 1307.11078
Gorodnik, Alexander; Nevo, Amos
5
2012
Ergodicity and mixing of non-commuting epimorphisms. Zbl 1127.37007
Bergelson, Vitaly; Gorodnik, Alexander
4
2007
Multiple mixing for adele groups and rational points. Zbl 1336.14020
Gorodnik, Alexander; Takloo-Bighash, Ramin; Tschinkel, Yuri
4
2015
Diophantine approximation for products of linear maps – logarithmic improvements. Zbl 1440.11124
Gorodnik, Alexander; Vishe, Pankaj
4
2018
Local near-rings with commutative groups of units. Zbl 0973.16027
Gorodnik, Alexander
3
1999
On an Oppenheim-type conjecture for systems of quadratic forms. Zbl 1055.11027
Gorodnik, Alexander
3
2004
Algebraic numbers, hyperbolicity, and density modulo one. Zbl 1287.11088
Gorodnik, A.; Kadyrov, S.
2
2012
Rigidity of group actions on homogeneous spaces. III. Zbl 1351.37011
Bader, Uri; Furman, Alex; Gorodnik, Alex; Weiss, Barak
2
2015
Convergence of measures on compactifications of locally symmetric spaces. Zbl 1461.60005
Daw, Christopher; Gorodnik, Alexander; Ullmo, Emmanuel
2
2021
Central limit theorems for generic lattice point counting. Zbl 1516.11080
Björklund, Michael; Gorodnik, Alexander
2
2023
On Arnol’d’s and Kazhdan’s equidistribution problems. Zbl 1261.37006
Gorodnik, Alexander; Nevo, Amos
2
2012
Dynamics and analytic number theory. Proceedings of the Durham Easter School, Durham, UK, March 31 – April 4, 2014. Zbl 1362.11002
1
2016
Smooth factors of projective actions of higher-rank lattices and rigidity. Zbl 1384.37033
Gorodnik, Alexander; Spatzier, Ralf
1
2018
Diophantine approximation with restricted numerators and denominators on semisimple groups. Zbl 1429.11125
Gorodnik, Alexander; Kadyrov, Shirali
1
2017
Limit theorems for rank-one Lie groups. Zbl 1315.37002
Gorodnik, Alexander; Ramírez, Felipe A.
1
2014
Counting orbits of integral points in families of affine homogeneous varieties and diagonal flows. Zbl 1351.37012
Gorodnik, Alexander; Paulin, Frédéric
1
2014
Effective multiple equidistribution of translated measures. Zbl 1510.37005
Björklund, Michael; Gorodnik, Alexander
1
2023
Poisson approximation and Weibull asymptotics in the geometry of numbers. Zbl 1526.11035
Björklund, Michael; Gorodnik, Alexander
1
2023
The space of homogeneous probability measures on \(\overline{\Gamma \backslash X}^S_{\max}\) is compact (with an appendix by Jialun Li). Zbl 1515.60031
Daw, Christopher; Gorodnik, Alexander; Ullmo, Emmanuel
1
2023
Central limit theorems for generic lattice point counting. Zbl 1516.11080
Björklund, Michael; Gorodnik, Alexander
2
2023
Effective multiple equidistribution of translated measures. Zbl 1510.37005
Björklund, Michael; Gorodnik, Alexander
1
2023
Poisson approximation and Weibull asymptotics in the geometry of numbers. Zbl 1526.11035
Björklund, Michael; Gorodnik, Alexander
1
2023
The space of homogeneous probability measures on \(\overline{\Gamma \backslash X}^S_{\max}\) is compact (with an appendix by Jialun Li). Zbl 1515.60031
Daw, Christopher; Gorodnik, Alexander; Ullmo, Emmanuel
1
2023
Convergence of measures on compactifications of locally symmetric spaces. Zbl 1461.60005
Daw, Christopher; Gorodnik, Alexander; Ullmo, Emmanuel
2
2021
Quantitative multiple mixing. Zbl 1442.37042
Björklund, Michael; Einsiedler, Manfred; Gorodnik, Alexander
18
2020
Central limit theorems for group actions which are exponentially mixing of all orders. Zbl 1494.37019
Björklund, Michael; Gorodnik, Alexander
9
2020
Optimal density for values of generic polynomial maps. Zbl 1498.11168
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
8
2020
Central limit theorems for Diophantine approximants. Zbl 1456.11143
Björklund, Michael; Gorodnik, Alexander
8
2019
Best possible rates of distribution of dense lattice orbits in homogeneous spaces. Zbl 1405.37012
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
12
2018
Diophantine approximation for products of linear maps – logarithmic improvements. Zbl 1440.11124
Gorodnik, Alexander; Vishe, Pankaj
4
2018
Smooth factors of projective actions of higher-rank lattices and rigidity. Zbl 1384.37033
Gorodnik, Alexander; Spatzier, Ralf
1
2018
Central limit theorems in the geometry of numbers. Zbl 1433.11095
Björklund, Michael; Gorodnik, Alexander
6
2017
Power-free values of polynomials on symmetric varieties. Zbl 1429.11181
Browning, T. D.; Gorodnik, A.
5
2017
Diophantine approximation with restricted numerators and denominators on semisimple groups. Zbl 1429.11125
Gorodnik, Alexander; Kadyrov, Shirali
1
2017
Dynamics and analytic number theory. Proceedings of the Durham Easter School, Durham, UK, March 31 – April 4, 2014. Zbl 1362.11002
1
2016
Mixing properties of commuting nilmanifold automorphisms. Zbl 1360.37010
Gorodnik, Alexander; Spatzier, Ralf
12
2015
Quantitative ergodic theorems and their number-theoretic applications. Zbl 1351.37039
Gorodnik, Alexander; Nevo, Amos
9
2015
Diophantine approximation exponents on homogeneous varieties. Zbl 1377.11088
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
7
2015
Multiple mixing for adele groups and rational points. Zbl 1336.14020
Gorodnik, Alexander; Takloo-Bighash, Ramin; Tschinkel, Yuri
4
2015
Rigidity of group actions on homogeneous spaces. III. Zbl 1351.37011
Bader, Uri; Furman, Alex; Gorodnik, Alex; Weiss, Barak
2
2015
Exponential mixing of nilmanifold automorphisms. Zbl 1312.37007
Gorodnik, Alexander; Spatzier, Ralf
19
2014
Metric Diophantine approximation on homogeneous varieties. Zbl 1309.37005
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
12
2014
Ergodic theory and the duality principle on homogeneous spaces. Zbl 1309.37009
Gorodnik, Alexander; Nevo, Amos
5
2014
Limit theorems for rank-one Lie groups. Zbl 1315.37002
Gorodnik, Alexander; Ramírez, Felipe A.
1
2014
Counting orbits of integral points in families of affine homogeneous varieties and diagonal flows. Zbl 1351.37012
Gorodnik, Alexander; Paulin, Frédéric
1
2014
Diophantine approximation and automorphic spectrum. Zbl 1370.11077
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos
18
2013
Counting lattice points. Zbl 1248.37011
Gorodnik, Alexander; Nevo, Amos
29
2012
Lifting, restricting and sifting integral points on affine homogeneous varieties. Zbl 1307.11078
Gorodnik, Alexander; Nevo, Amos
5
2012
Algebraic numbers, hyperbolicity, and density modulo one. Zbl 1287.11088
Gorodnik, A.; Kadyrov, S.
2
2012
On Arnol’d’s and Kazhdan’s equidistribution problems. Zbl 1261.37006
Gorodnik, Alexander; Nevo, Amos
2
2012
Rational points on homogeneous varieties and equidistribution of adelic periods (with appendix by Mikhail Borovoi). Zbl 1317.11069
Gorodnik, Alex; Oh, Hee
15
2011
Khinchin’s theorem for approximation by integral points on quadratic varieties. Zbl 1260.11049
Gorodnik, Alexander; Shah, Nimish A.
10
2011
Splitting fields of elements in arithmetic groups. Zbl 1372.22011
Gorodnik, Alexander; Nevo, Amos
5
2011
Strong wavefront lemma and counting lattice points in sectors. Zbl 1210.22006
Gorodnik, Alexander; Oh, Hee; Shah, Nimish
10
2010
The ergodic theory of lattice subgroups. Zbl 1186.37004
Gorodnik, Alexander; Nevo, Amos
25
2009
Integral points on symmetric varieties and Satake compatifications. Zbl 1231.14041
Gorodnik, Alexander; Oh, Hee; Shah, Nimish
13
2009
Manin’s and Peyre’s conjectures on rational points and adelic mixing. Zbl 1161.14015
Gorodnik, Alex; Maucourant, François; Oh, Hee
33
2008
Distribution of lattice orbits on homogeneous varieties. Zbl 1112.37001
Gorodnik, Alex; Weiss, Barak
21
2007
Open problems in dynamics and related fields. Zbl 1118.37002
Gorodnik, Alexander
16
2007
Orbits of discrete subgroups on a symmetric space and the Furstenberg boundary. Zbl 1132.22012
Gorodnik, Alexander; Oh, Hee
14
2007
Ergodicity and mixing of non-commuting epimorphisms. Zbl 1127.37007
Bergelson, Vitaly; Gorodnik, Alexander
4
2007
Proximality and equidistribution on the Furstenberg boundary. Zbl 1078.37007
Gorodnik, Alexander; Maucourant, Francois
7
2005
Oppenheim conjecture for pairs consisting of a linear form and a quadratic form. Zbl 1051.11034
Gorodnik, Alexander
11
2004
Uniform distribution of orbits of lattices on spaces of frames. Zbl 1067.37004
Gorodnik, Alexander
8
2004
Weakly mixing group actions: a brief survey and an example. Zbl 1161.37006
Bergelson, V.; Gorodnik, A.
6
2004
On an Oppenheim-type conjecture for systems of quadratic forms. Zbl 1055.11027
Gorodnik, Alexander
3
2004
Lattice action on the boundary of \(\text{SL}(n,\mathbb R)\). Zbl 1050.22015
Gorodnik, Alexander
7
2003
Local near-rings with commutative groups of units. Zbl 0973.16027
Gorodnik, Alexander
3
1999
all top 5

Cited by 271 Authors

24 Gorodnik, Alexander
13 Oh, Hee
12 Nevo, Amos
11 Shah, Nimish A.
10 Kleinbock, Dmitry Ya.
9 Einsiedler, Manfred Leopold
9 Ghosh, Anish
7 Björklund, Michael
7 Kelmer, Dubi
6 Margulis, Grigoriĭ Aleksandrovich
5 Kanigowski, Adam
5 Mohammadi, Amir
5 Spatzier, Ralf J.
5 Yu, Shucheng
4 Aka, Menny
4 Han, Jiyoung
4 Maucourant, François
4 Paulin, Frédéric
4 Takloo-Bighash, Ramin
4 Venkatesh, Akshay
3 Beresnevich, Victor V.
3 Breuillard, Emmanuel
3 Dolgopyat, Dmitry
3 Dong, Changguang
3 Kamber, Amitay
3 Lazar, Youssef
3 Merrill, Keith
3 Ravotti, Davide
3 Rühr, Rene
3 Sarnak, Peter Clive
3 Shapira, Uri
3 Yang, Pengyu
3 Zhang, Runlin
2 Athreya, Jayadev S.
2 Bandi, Prasuna
2 Bergelson, Vitaly
2 Blomer, Valentin
2 Bowen, Lewis Phylip
2 Brumley, Farrell
2 Cao, Yang
2 De Saxcé, Nicolas
2 Derenthal, Ulrich
2 Fisher, David Michael
2 Fishman, Lior
2 Gagliardi, Giuliano
2 Galatolo, Stefano
2 Golubev, Konstantin
2 Guilloux, Antonin
2 Horesh, Tal
2 Huang, Zhizhong
2 Ioana, Adrian
2 Kalinin, Boris
2 Kim, Minsung
2 Kosloff, Zemer
2 Lee, Minju
2 Li, Hanfeng
2 Lindenstrauss, Elon
2 Loughran, Daniel
2 Luethi, Manuel
2 Michel, Philippe Gabriel
2 Nándori, Péter
2 Parkkonen, Jouni
2 Raévs’ka, Maryna Yuriïvna
2 Risager, Morten S.
2 Rosenzweig, Lior
2 Shi, Ronggang
2 Simmons, David
2 Skenderi, Mishel
2 Strömbergsson, Andreas
2 Su, Feng
2 Sysak, Yaroslav P.
2 Tanimoto, Sho
2 Tao, Terence
2 Tschinkel, Yuri
2 Velani, Sanju L.
2 Weiss, Barak
2 Yang, Lei
1 Aaronson, Jon
1 Abramov, M. V.
1 Alam, Mahbub
1 An, Jinpeng
1 Arana-Herrera, Francisco
1 Araújo, Vítor
1 Bader, Uri
1 Badziahin, Dzmitry A.
1 Bakhtin, Yuri Yu.
1 Bassi, Jacopo
1 Benoist, Yves
1 Berend, Daniel
1 Bersudsky, Michael
1 Berthé, Valérie
1 Bianchi, Fabrizio
1 Bianchi, Luigi Amedeo
1 Blanks, Tamar Lichter
1 Blömker, Dirk
1 Borovoi, Mikhail V.
1 Borst, Christian
1 Boutonnet, Rémi
1 Boyd, Evan
1 Brekken, Claire
...and 171 more Authors
all top 5

Cited in 77 Serials

23 Ergodic Theory and Dynamical Systems
12 Duke Mathematical Journal
11 Transactions of the American Mathematical Society
10 Israel Journal of Mathematics
10 Journal of Modern Dynamics
9 Inventiones Mathematicae
8 Geometric and Functional Analysis. GAFA
7 Advances in Mathematics
7 Discrete and Continuous Dynamical Systems
6 Compositio Mathematica
6 Monatshefte für Mathematik
5 Journal of Number Theory
5 Mathematische Zeitschrift
5 Journal of the American Mathematical Society
4 Journal d’Analyse Mathématique
4 Geometriae Dedicata
4 Mathematische Annalen
4 Proceedings of the American Mathematical Society
4 Journal de Théorie des Nombres de Bordeaux
4 Annals of Mathematics. Second Series
4 Journal of the European Mathematical Society (JEMS)
3 Annales de l’Institut Fourier
3 Journal für die Reine und Angewandte Mathematik
3 Mathematika
3 L’Enseignement Mathématique. 2e Série
3 Bulletin of the American Mathematical Society. New Series
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 International Journal of Number Theory
3 Forum of Mathematics, Sigma
3 European Journal of Mathematics
2 Ukrainian Mathematical Journal
2 Acta Arithmetica
2 Acta Mathematica
2 Journal of Functional Analysis
2 Journal of the London Mathematical Society. Second Series
2 Mathematica Scandinavica
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Selecta Mathematica. New Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 Research in Number Theory
2 Transactions of the American Mathematical Society. Series B
1 Communications in Mathematical Physics
1 Journal of Mathematical Analysis and Applications
1 Nonlinearity
1 Studia Mathematica
1 Mathematics of Computation
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Publications Mathématiques
1 Journal of Differential Equations
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Ricerche di Matematica
1 European Journal of Combinatorics
1 Journal of the Ramanujan Mathematical Society
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 Experimental Mathematics
1 Annales Mathématiques Blaise Pascal
1 The Ramanujan Journal
1 Geometry & Topology
1 Acta Mathematica Sinica. English Series
1 Discrete and Continuous Dynamical Systems. Series B
1 Oberwolfach Reports
1 Groups, Geometry, and Dynamics
1 Algebra & Number Theory
1 Uniform Distribution Theory
1 Japanese Journal of Mathematics. 3rd Series
1 Science China. Mathematics
1 Afrika Matematika
1 Moscow Journal of Combinatorics and Number Theory
1 Annales Henri Lebesgue
1 Annales Fennici Mathematici

Citations by Year

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