Edit Profile (opens in new tab) Shapira, Uri Co-Author Distance Author ID: shapira.uri Published as: Shapira, Uri External Links: MGP Documents Indexed: 28 Publications since 2007 Co-Authors: 21 Co-Authors with 23 Joint Publications 329 Co-Co-Authors all top 5 Co-Authors 5 single-authored 5 Weiss, Barak 4 Einsiedler, Manfred Leopold 3 Aka, Menny 3 David, Ofir 2 Paulin, Frédéric 1 Bersudsky, Michael 1 Burrin, Claire 1 De Saxcé, Nicolas 1 Fishman, Lior 1 Kemarsky, Alexander 1 Levin, Michael 1 Lim, Seonhee 1 Lindenstrauss, Elon 1 Mozes, Shahar 1 Regev, Oded 1 Sargent, Oliver 1 Shah, Nimish A. 1 Wang, Zhiren 1 Yu, Shucheng 1 Zheng, Cheng 1 Zuck, Reut all top 5 Serials 4 IMRN. International Mathematics Research Notices 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 Journal d’Analyse Mathématique 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Mathematische Annalen 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 22 Dynamical systems and ergodic theory (37-XX) 20 Number theory (11-XX) 11 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 25 Publications have been cited 108 times in 82 Documents Cited by ▼ Year ▼ Diophantine approximations on fractals. Zbl 1244.11070Einsiedler, Manfred; Fishman, Lior; Shapira, Uri 18 2011 A solution to a problem of Cassels and Diophantine properties of cubic numbers. Zbl 1242.11046Shapira, Uri 11 2011 Stable lattices and the diagonal group. Zbl 1370.11074Shapira, Uri; Weiss, Barak 9 2016 Equidistribution of primitive rational points on expanding horospheres. Zbl 1382.37032Einsiedler, Manfred; Mozes, Shahar; Shah, Nimish; Shapira, Uri 8 2016 Integer points on spheres and their orthogonal lattices. Zbl 1410.11117Aka, Menny; Einsiedler, Manfred; Shapira, Uri 7 2016 Integer points on spheres and their orthogonal grids. Zbl 1355.37016Aka, Menny; Einsiedler, Manfred; Shapira, Uri 6 2016 Measure theoretical entropy of covers. Zbl 1121.37008Shapira, Uri 5 2007 Equidistribution of divergent orbits and continued fraction expansion of rationals. Zbl 1411.11068David, Ofir; Shapira, Uri 5 2018 On the evolution of continued fractions in a fixed quadratic field. Zbl 1444.11157Aka, Menny; Shapira, Uri 5 2018 Counterexamples to a conjecture of Woods. Zbl 1380.11086Regev, Oded; Shapira, Uri; Weiss, Barak 4 2017 Limiting distributions of translates of divergent diagonal orbits. Zbl 1422.37001Shapira, Uri; Zheng, Cheng 4 2019 A volume estimate for the set of stable lattices. (Une estimation du volume de l’ensemble des réseaux stables.) Zbl 1327.11045Shapira, Uri; Weiss, Barak 3 2014 On a generalization of Littlewood’s conjecture. Zbl 1185.37008Shapira, Uri 3 2009 Homogeneous orbit closures and applications. Zbl 1258.22002Lindenstrauss, Elon; Shapira, Uri 3 2012 Closed orbits for the diagonal group and well-rounded lattices. Zbl 1368.22005Levin, Michael; Shapira, Uri; Weiss, Barak 3 2016 On the Mordell-Gruber spectrum. Zbl 1386.11084Shapira, Uri; Weiss, Barak 2 2015 Asymptotic metric behavior of random Cayley graphs of finite abelian groups. Zbl 1449.05136Shapira, Uri; Zuck, Reut 2 2019 Translates of rational points along expanding closed horocycles on the modular surface. Zbl 1498.11142Burrin, Claire; Shapira, Uri; Yu, Shucheng 2 2022 Dimension bound for badly approximable grids. Zbl 1447.28009Lim, Seonhee; De Saxcé, Nicolas; Shapira, Uri 2 2019 Escape of mass in homogeneous dynamics in positive characteristic. Zbl 1502.22004Kemarsky, Alexander; Paulin, Frédéric; Shapira, Uri 1 2017 Full escape of mass for the diagonal group. Zbl 1405.22001Shapira, Uri 1 2017 Equidistribution of divergent orbits of the diagonal group in the space of lattices. Zbl 1475.37011David, Ofir; Shapira, Uri 1 2020 Grids with dense values. Zbl 1306.37009Shapira, Uri 1 2013 On continued fraction expansions of quadratic irrationals in positive characteristic. Zbl 1439.11163Paulin, Frédéric; Shapira, Uri 1 2020 Remarks on Euclidean minima. Zbl 1285.11135Shapira, Uri; Wang, Zhiren 1 2014 Translates of rational points along expanding closed horocycles on the modular surface. Zbl 1498.11142Burrin, Claire; Shapira, Uri; Yu, Shucheng 2 2022 Equidistribution of divergent orbits of the diagonal group in the space of lattices. Zbl 1475.37011David, Ofir; Shapira, Uri 1 2020 On continued fraction expansions of quadratic irrationals in positive characteristic. Zbl 1439.11163Paulin, Frédéric; Shapira, Uri 1 2020 Limiting distributions of translates of divergent diagonal orbits. Zbl 1422.37001Shapira, Uri; Zheng, Cheng 4 2019 Asymptotic metric behavior of random Cayley graphs of finite abelian groups. Zbl 1449.05136Shapira, Uri; Zuck, Reut 2 2019 Dimension bound for badly approximable grids. Zbl 1447.28009Lim, Seonhee; De Saxcé, Nicolas; Shapira, Uri 2 2019 Equidistribution of divergent orbits and continued fraction expansion of rationals. Zbl 1411.11068David, Ofir; Shapira, Uri 5 2018 On the evolution of continued fractions in a fixed quadratic field. Zbl 1444.11157Aka, Menny; Shapira, Uri 5 2018 Counterexamples to a conjecture of Woods. Zbl 1380.11086Regev, Oded; Shapira, Uri; Weiss, Barak 4 2017 Escape of mass in homogeneous dynamics in positive characteristic. Zbl 1502.22004Kemarsky, Alexander; Paulin, Frédéric; Shapira, Uri 1 2017 Full escape of mass for the diagonal group. Zbl 1405.22001Shapira, Uri 1 2017 Stable lattices and the diagonal group. Zbl 1370.11074Shapira, Uri; Weiss, Barak 9 2016 Equidistribution of primitive rational points on expanding horospheres. Zbl 1382.37032Einsiedler, Manfred; Mozes, Shahar; Shah, Nimish; Shapira, Uri 8 2016 Integer points on spheres and their orthogonal lattices. Zbl 1410.11117Aka, Menny; Einsiedler, Manfred; Shapira, Uri 7 2016 Integer points on spheres and their orthogonal grids. Zbl 1355.37016Aka, Menny; Einsiedler, Manfred; Shapira, Uri 6 2016 Closed orbits for the diagonal group and well-rounded lattices. Zbl 1368.22005Levin, Michael; Shapira, Uri; Weiss, Barak 3 2016 On the Mordell-Gruber spectrum. Zbl 1386.11084Shapira, 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 1327.11045Shapira, Uri; Weiss, Barak 3 2014 Remarks on Euclidean minima. Zbl 1285.11135Shapira, Uri; Wang, Zhiren 1 2014 Grids with dense values. Zbl 1306.37009Shapira, Uri 1 2013 Homogeneous orbit closures and applications. Zbl 1258.22002Lindenstrauss, Elon; Shapira, Uri 3 2012 Diophantine approximations on fractals. Zbl 1244.11070Einsiedler, Manfred; Fishman, Lior; Shapira, Uri 18 2011 A solution to a problem of Cassels and Diophantine properties of cubic numbers. Zbl 1242.11046Shapira, Uri 11 2011 On a generalization of Littlewood’s conjecture. Zbl 1185.37008Shapira, Uri 3 2009 Measure theoretical entropy of covers. Zbl 1121.37008Shapira, Uri 5 2007 all cited Publications top 5 cited Publications all top 5 Cited by 104 Authors 11 Shapira, Uri 9 Einsiedler, Manfred Leopold 5 Aka, Menny 4 Luethi, Manuel 4 Simmons, David 3 Bugeaud, Yann 3 Fishman, Lior 3 Haynes, Alan K. 3 Kathuria, Leetika 3 Lindenstrauss, Elon 3 Raka, Madhu 3 Weiss, Barak 3 Wieser, Andreas 2 Chow, Sam 2 El-Baz, Daniel 2 Harrap, Stephen B. 2 Khalil, Osama 2 Kleinbock, Dmitry Ya. 2 Michel, Philippe Gabriel 2 Paulin, Frédéric 2 Prohaska, Roland 2 Sert, Cagri 2 Shi, Ronggang 2 Zhang, Runlin 1 Adiceam, Faustin 1 Andersen, Nickolas 1 Badziahin, Dmitry 1 Badziahin, Dzmitry A. 1 Bengoechea, Paloma 1 Beresnevich, Victor V. 1 Bergelson, Vitaly 1 Bersudsky, Michael 1 Burrin, Claire 1 Chen, Hao 1 Corvaja, Pietro 1 Das, Tushar Kanti 1 David, Ofir 1 DeMarco, Laura Grace 1 Dranishnikov, Alexander Nikolaevich 1 Duke, William Drexel 1 Fregoli, Reynold 1 Fukshansky, Lenny 1 Ghosh, Anish 1 Glasner, Eli 1 Gorodnik, Alexander 1 Guan, Lifan 1 Habegger, Philipp 1 Hans-Gill, Rajinder J. 1 Heersink, Byron 1 Hochman, Michael 1 Horesh, Tal 1 Huang, Bingrong 1 Järvenpää, Maarit 1 Karpuk, David A. 1 Kemarsky, Alexander 1 Khayutin, Ilya 1 Kim, Seungki 1 Kim, Taehyeong 1 Kim, Wooyeon 1 Kogan, David 1 Koivusalo, Henna 1 Kristensen, Simon 1 Kwon, Sanghoon 1 Lee, Min 1 Li, Zhiming 1 Liu, Wencai 1 Lovett, Shachar 1 Lunnon, Fred 1 Magazinov, Alexander Nikolaevich 1 Marnat, Antoine 1 McGown, Kevin J. 1 Merrill, Keith 1 Moshchevitin, Nikolay G. 1 Moshohevitin, Nikolay 1 Murphy, Brendan 1 Nesharim, Erez 1 Pagano, Carlo 1 Pattison, Sam 1 Regev, Oded 1 Rühr, Rene 1 Shah, Nimish A. 1 Shkredov, Il’ya Dmitrievich 1 Shmerkin, Pablo S. 1 Solan, Omri N. 1 Song, Yani 1 Taoufiq Damir, Mohamed 1 Tomanov, Georges Metodiev 1 Tseng, Jimmy 1 Urbański, Mariusz 1 Velani, Sanju L. 1 Vishe, Pankaj 1 Wadleigh, Nick 1 Walton, James J. 1 Wang, Zhiren 1 Weil, Steffen 1 Wirth, Philipp 1 Xu, Liqing 1 Yazdi, Mehdi 1 Ye, Xiangdong 1 Yu, Shucheng ...and 4 more Authors all top 5 Cited in 44 Serials 10 Ergodic Theory and Dynamical Systems 4 Israel Journal of Mathematics 4 Compositio Mathematica 4 Inventiones Mathematicae 4 Journal of Number Theory 3 Acta Arithmetica 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Transactions of the American Mathematical Society 3 Journal of the European Mathematical Society (JEMS) 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal de Théorie des Nombres de Bordeaux 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Publications Mathématiques 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Bulletin of the Korean Mathematical Society 1 Expositiones Mathematicae 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Turkish Journal of Mathematics 1 Journal of Group Theory 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 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 Oberwolfach Reports 1 International Journal of Number Theory 1 Journal of Modern Dynamics 1 Uniform Distribution Theory 1 Science China. Mathematics 1 Moscow Journal of Combinatorics and Number Theory 1 Forum of Mathematics, Sigma 1 Discrete Analysis all top 5 Cited in 17 Fields 62 Number theory (11-XX) 44 Dynamical systems and ergodic theory (37-XX) 12 Measure and integration (28-XX) 11 Topological groups, Lie groups (22-XX) 5 Probability theory and stochastic processes (60-XX) 4 Group theory and generalizations (20-XX) 4 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-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 Algebraic topology (55-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year