Edit Profile (opens in new tab) Shapira, Uri Co-Author Distance Author ID: shapira.uri Published as: Shapira, Uri External Links: MGP Documents Indexed: 34 Publications since 2007, including 4 Additional arXiv Preprints Co-Authors: 27 Co-Authors with 29 Joint Publications 424 Co-Co-Authors all top 5 Co-Authors 5 single-authored 7 Weiss, Barak 4 David, Ofir 4 Einsiedler, Manfred Leopold 3 Aka, Menny 2 Paulin, Frédéric 2 Rao, Anurag 2 Zheng, Cheng 1 Bersudsky, Michael 1 Burrin, Claire 1 De Saxcé, Nicolas 1 Fishman, Lior 1 Kemarsky, Alexander 1 Kim, Taehyeong 1 Lachman, Guy 1 Levin, Michael 1 Lim, Seonhee 1 Lindenstrauss, Elon 1 Mor, Ron 1 Moshchevitin, Nikolaĭ Germanovich 1 Mozes, Shahar 1 Regev, Oded 1 Sargent, Oliver 1 Shah, Nimish A. 1 Wang, Zhiren 1 Yifrach, Yuval 1 Yu, Shucheng 1 Zuck, Reut all top 5 Serials 4 IMRN. International Mathematics Research Notices 2 Journal d’Analyse Mathématique 2 Compositio Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Ergodic Theory and Dynamical Systems 2 Geometric and Functional Analysis. GAFA 2 Groups, Geometry, and Dynamics 2 Journal of Modern Dynamics 1 Israel Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Mathematische Annalen 1 Mathematika 1 Monatshefte für Mathematik 1 Combinatorica 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 27 Dynamical systems and ergodic theory (37-XX) 22 Number theory (11-XX) 13 Topological groups, Lie groups (22-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 1 Combinatorics (05-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 160 times in 119 Documents Cited by ▼ Year ▼ Diophantine approximations on fractals. Zbl 1244.11070 Einsiedler, Manfred; Fishman, Lior; Shapira, Uri 20 2011 Integer points on spheres and their orthogonal lattices. Zbl 1410.11117 Aka, Menny; Einsiedler, Manfred; Shapira, Uri 15 2016 Stable lattices and the diagonal group. Zbl 1370.11074 Shapira, Uri; Weiss, Barak 15 2016 A solution to a problem of Cassels and Diophantine properties of cubic numbers. Zbl 1242.11046 Shapira, Uri 13 2011 Equidistribution of primitive rational points on expanding horospheres. Zbl 1382.37032 Einsiedler, Manfred; Mozes, Shahar; Shah, Nimish; Shapira, Uri 11 2016 Integer points on spheres and their orthogonal grids. Zbl 1355.37016 Aka, Menny; Einsiedler, Manfred; Shapira, Uri 10 2016 Measure theoretical entropy of covers. Zbl 1121.37008 Shapira, Uri 8 2007 Equidistribution of divergent orbits and continued fraction expansion of rationals. Zbl 1411.11068 David, Ofir; Shapira, Uri 7 2018 On the evolution of continued fractions in a fixed quadratic field. Zbl 1444.11157 Aka, Menny; Shapira, Uri 7 2018 A volume estimate for the set of stable lattices. (Une estimation du volume de l’ensemble des réseaux stables.) Zbl 1327.11045 Shapira, Uri; Weiss, Barak 6 2014 Limiting distributions of translates of divergent diagonal orbits. Zbl 1422.37001 Shapira, Uri; Zheng, Cheng 5 2019 Counterexamples to a conjecture of Woods. Zbl 1380.11086 Regev, Oded; Shapira, Uri; Weiss, Barak 5 2017 Translates of rational points along expanding closed horocycles on the modular surface. Zbl 1498.11142 Burrin, Claire; Shapira, Uri; Yu, Shucheng 5 2022 Dimension bound for badly approximable grids. Zbl 1447.28009 Lim, Seonhee; De Saxcé, Nicolas; Shapira, Uri 4 2019 Homogeneous orbit closures and applications. Zbl 1258.22002 Lindenstrauss, Elon; Shapira, Uri 3 2012 On a generalization of Littlewood’s conjecture. Zbl 1185.37008 Shapira, Uri 3 2009 Grids with dense values. Zbl 1306.37009 Shapira, Uri 3 2013 Asymptotic metric behavior of random Cayley graphs of finite abelian groups. Zbl 1449.05136 Shapira, Uri; Zuck, Reut 3 2019 Closed orbits for the diagonal group and well-rounded lattices. Zbl 1368.22005 Levin, Michael; Shapira, Uri; Weiss, Barak 3 2016 Full escape of mass for the diagonal group. Zbl 1405.22001 Shapira, Uri 3 2017 Remarks on Euclidean minima. Zbl 1285.11135 Shapira, Uri; Wang, Zhiren 2 2014 On the Mordell-Gruber spectrum. Zbl 1386.11084 Shapira, Uri; Weiss, Barak 2 2015 On continued fraction expansions of quadratic irrationals in positive characteristic. Zbl 1439.11163 Paulin, Frédéric; Shapira, Uri 2 2020 Equidistribution of divergent orbits of the diagonal group in the space of lattices. Zbl 1475.37011 David, Ofir; Shapira, Uri 2 2020 Dynamics on the space of 2-lattices in 3-space. Zbl 1421.22007 Sargent, Oliver; Shapira, Uri 1 2019 Dirichlet shapes of unit lattices and escape of mass. Zbl 1444.11229 David, Ofir; Shapira, Uri 1 2018 Escape of mass in homogeneous dynamics in positive characteristic. Zbl 1502.22004 Kemarsky, Alexander; Paulin, Frédéric; Shapira, Uri 1 2017 Translates of rational points along expanding closed horocycles on the modular surface. Zbl 1498.11142 Burrin, Claire; Shapira, Uri; Yu, Shucheng 5 2022 On continued fraction expansions of quadratic irrationals in positive characteristic. Zbl 1439.11163 Paulin, Frédéric; Shapira, Uri 2 2020 Equidistribution of divergent orbits of the diagonal group in the space of lattices. Zbl 1475.37011 David, Ofir; Shapira, Uri 2 2020 Limiting distributions of translates of divergent diagonal orbits. Zbl 1422.37001 Shapira, Uri; Zheng, Cheng 5 2019 Dimension bound for badly approximable grids. Zbl 1447.28009 Lim, Seonhee; De Saxcé, Nicolas; Shapira, Uri 4 2019 Asymptotic metric behavior of random Cayley graphs of finite abelian groups. Zbl 1449.05136 Shapira, Uri; Zuck, Reut 3 2019 Dynamics on the space of 2-lattices in 3-space. Zbl 1421.22007 Sargent, Oliver; Shapira, Uri 1 2019 Equidistribution of divergent orbits and continued fraction expansion of rationals. Zbl 1411.11068 David, Ofir; Shapira, Uri 7 2018 On the evolution of continued fractions in a fixed quadratic field. Zbl 1444.11157 Aka, Menny; Shapira, Uri 7 2018 Dirichlet shapes of unit lattices and escape of mass. Zbl 1444.11229 David, Ofir; Shapira, Uri 1 2018 Counterexamples to a conjecture of Woods. Zbl 1380.11086 Regev, Oded; Shapira, Uri; Weiss, Barak 5 2017 Full escape of mass for the diagonal group. Zbl 1405.22001 Shapira, Uri 3 2017 Escape of mass in homogeneous dynamics in positive characteristic. Zbl 1502.22004 Kemarsky, Alexander; Paulin, Frédéric; Shapira, Uri 1 2017 Integer points on spheres and their orthogonal lattices. Zbl 1410.11117 Aka, Menny; Einsiedler, Manfred; Shapira, Uri 15 2016 Stable lattices and the diagonal group. Zbl 1370.11074 Shapira, Uri; Weiss, Barak 15 2016 Equidistribution of primitive rational points on expanding horospheres. Zbl 1382.37032 Einsiedler, Manfred; Mozes, Shahar; Shah, Nimish; Shapira, Uri 11 2016 Integer points on spheres and their orthogonal grids. Zbl 1355.37016 Aka, Menny; Einsiedler, Manfred; Shapira, Uri 10 2016 Closed orbits for the diagonal group and well-rounded lattices. Zbl 1368.22005 Levin, Michael; Shapira, Uri; Weiss, Barak 3 2016 On the Mordell-Gruber spectrum. Zbl 1386.11084 Shapira, Uri; Weiss, Barak 2 2015 A volume estimate for the set of stable lattices. (Une estimation du volume de l’ensemble des réseaux stables.) Zbl 1327.11045 Shapira, Uri; Weiss, Barak 6 2014 Remarks on Euclidean minima. Zbl 1285.11135 Shapira, Uri; Wang, Zhiren 2 2014 Grids with dense values. Zbl 1306.37009 Shapira, Uri 3 2013 Homogeneous orbit closures and applications. Zbl 1258.22002 Lindenstrauss, Elon; Shapira, Uri 3 2012 Diophantine approximations on fractals. Zbl 1244.11070 Einsiedler, Manfred; Fishman, Lior; Shapira, Uri 20 2011 A solution to a problem of Cassels and Diophantine properties of cubic numbers. Zbl 1242.11046 Shapira, Uri 13 2011 On a generalization of Littlewood’s conjecture. Zbl 1185.37008 Shapira, Uri 3 2009 Measure theoretical entropy of covers. Zbl 1121.37008 Shapira, Uri 8 2007 all cited Publications top 5 cited Publications all top 5 Cited by 145 Authors 13 Shapira, Uri 9 Einsiedler, Manfred Leopold 4 Aka, Menny 4 Chow, Sam 4 Haynes, Alan K. 4 Luethi, Manuel 4 Paulin, Frédéric 4 Simmons, David 3 Blomer, Valentin 3 Bugeaud, Yann 3 Fishman, Lior 3 Kathuria, Leetika 3 Kim, Taehyeong 3 Lindenstrauss, Elon 3 Michel, Philippe Gabriel 3 Moshchevitin, Nikolaĭ Germanovich 3 Raka, Madhu 3 Regev, Oded 3 Solan, Omri Nisan 3 Weiss, Barak 3 Wieser, Andreas 3 Zheng, Cheng 2 Bersudsky, Michael 2 El-Baz, Daniel 2 Fregoli, Reynold 2 Fukshansky, Lenny 2 Harrap, Stephen B. 2 Horesh, Tal 2 Khalil, Osama 2 Kim, Seungki 2 Kleinbock, Dmitry Ya. 2 Kwon, Sanghoon 2 Prohaska, Roland 2 Sert, Cagri 2 Shi, Ronggang 2 Shparlinski, Igor E. 2 Stephens-Davidowitz, Noah 2 Technau, Niclas 2 Zhang, Runlin 1 Adiceam, Faustin 1 Aistleitner, Christoph 1 Andersen, Nickolas 1 Badziahin, Dmitry 1 Badziahin, Dzmitry A. 1 Bénard, Timothée 1 Bengoechea, Paloma 1 Beresnevich, Victor V. 1 Bergelson, Vitaly 1 Berthé, Valérie 1 Borda, Bence 1 Browning, Timothy Daniel 1 Brumley, Farrell 1 Burrin, Claire 1 Chen, Hao 1 Corvaja, Pietro 1 Dadush, Daniel 1 Das, Tushar Kanti 1 David, Ofir 1 De Saxcé, Nicolas 1 DeMarco, Laura Grace 1 Dranishnikov, Alexander Nikolaevich 1 Dubickas, Artūras 1 Duke, William Drexel 1 Erdélyi, Márton 1 Forst, Maxwell 1 German, Oleg N. 1 Ghosh, Anish 1 Glasner, Eli 1 Gorodnik, Alexander 1 Guan, Lifan 1 Habegger, Philipp 1 Hans-Gill, Rajinder J. 1 Hauke, Manuel 1 Heersink, Byron 1 Hermon, Jonathan 1 Hochman, Michael 1 Huang, Bingrong 1 Jacobus, Thomas 1 Jana, Subhajit 1 Järvenpää, Maarit 1 Karpuk, David A. 1 Kemarsky, Alexander 1 Khayutin, Ilya 1 Kim, Wooyeon 1 Kogan, David 1 Koivusalo, Henna 1 Kowalski, Emmanuel 1 Kristensen, Simon 1 Lee, Jungwon 1 Lee, Min 1 Li, Zhiming 1 Lim, Seonhee 1 Liu, Chunlin 1 Liu, Wencai 1 Liu, Xue 1 Lovett, Shachar 1 Lunnon, Fred 1 Magazinov, Alexander Nikolaevich 1 Marnat, Antoine 1 McGown, Kevin J. ...and 45 more Authors all top 5 Cited in 57 Serials 10 Ergodic Theory and Dynamical Systems 6 Journal of Number Theory 6 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 4 Acta Arithmetica 4 Advances in Mathematics 4 Compositio Mathematica 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Monatshefte für Mathematik 4 Journal of the European Mathematical Society (JEMS) 3 Mathematische Annalen 3 Geometric and Functional Analysis. GAFA 2 Journal d’Analyse Mathématique 2 Archiv der Mathematik 2 Mathematika 2 Memoirs of the American Mathematical Society 2 Bulletin of the Korean Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal de Théorie des Nombres de Bordeaux 2 Annals of Mathematics. Second Series 2 Oberwolfach Reports 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Nonlinearity 1 Russian Mathematical Surveys 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Publications Mathématiques 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 The Annals of Applied Probability 1 Expositiones Mathematicae 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Turkish Journal of Mathematics 1 Selecta Mathematica. New Series 1 Journal of Group Theory 1 Annals of Combinatorics 1 Journal of Dynamical and Control Systems 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Number Theory 1 Groups, Geometry, and Dynamics 1 Journal of Modern Dynamics 1 Algebra & Number Theory 1 Uniform Distribution Theory 1 Science China. Mathematics 1 Moscow Journal of Combinatorics and Number Theory 1 Forum of Mathematics, Sigma 1 Research in Number Theory 1 Discrete Analysis all top 5 Cited in 22 Fields 88 Number theory (11-XX) 61 Dynamical systems and ergodic theory (37-XX) 20 Topological groups, Lie groups (22-XX) 16 Measure and integration (28-XX) 10 Convex and discrete geometry (52-XX) 7 Probability theory and stochastic processes (60-XX) 6 Group theory and generalizations (20-XX) 5 Algebraic geometry (14-XX) 3 Combinatorics (05-XX) 3 General topology (54-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year