Edit Profile (opens in new tab) Athreya, Jayadev S. Co-Author Distance Author ID: athreya.jayadev-s Published as: Athreya, Jayadev S.; Athreya, J. S.; Athreya, Jayadev; Athreya, Jeyadev S. more...less Homepage: http://www.math.illinois.edu/~jathreya/ External Links: MGP · ResearchGate · dblp Documents Indexed: 53 Publications since 2000, including 1 Book and 7 Additional arXiv Preprints Reviewing Activity: 124 Reviews Co-Authors: 51 Co-Authors with 48 Joint Publications 1,161 Co-Co-Authors all top 5 Co-Authors 5 single-authored 6 Ghosh, Anish 4 Margulis, Grigoriĭ Aleksandrovich 4 Prasad, Amritanshu 3 Aulicino, David 3 Chaika, Jonathan 3 Eskin, Alex 3 Masur, Howard A. 3 Tseng, Jimmy 3 Zaharescu, Alexandru 2 Athreya, Krishna Balasundaram 2 Burdzy, Krzysztof 2 Cheung, Yitwah 2 Cobeli, Cristian 2 Konstantoulas, Ioannis 2 Tyson, Jeremy T. 2 Zorich, Anton Vladimirovich 1 Aougab, Tarik 1 Arana-Herrera, Francisco 1 Boshernitzan, Michael D. 1 Bufetov, Aleksandr Igorevich 1 Chaubey, Sneha 1 Duarte, Mauricio A. 1 Dumas, David 1 Dyatlov, Semyon 1 Fan, Yuwei 1 Fidkowski, Lukasz M. 1 Forni, Giovanni 1 Goldman, William M. 1 Grigorian, Sergey 1 Guzman, Rosemary K. 1 Hieronymi, Philipp 1 Hooper, W. Patrick 1 Lalley, Steven P. 1 Lawton, Sean 1 Lee, Dami 1 Lee, Heather 1 Lelièvre, Samuel 1 Lukyanenko, Anton 1 Malik, Amita 1 Mirzakhani, Maryam 1 Mj, Mahan 1 Parrish, Andrew 1 Paulin, Frédéric 1 Randecker, Anja 1 Reznick, Bruce 1 Richman, David Harry 1 Roy, Parthanil 1 Sapir, Jenya 1 Sethuraman, Sunder 1 Wilson, Aaron 1 Wroten, Matthew all top 5 Serials 4 Journal of Modern Dynamics 3 Geometriae Dedicata 2 American Mathematical Monthly 2 Nonlinearity 2 Duke Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Statistics & Probability Letters 2 IMRN. International Mathematics Research Notices 2 The New York Journal of Mathematics 2 Integers 2 Groups, Geometry, and Dynamics 2 Arnold Mathematical Journal 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Indiana University Mathematics Journal 1 Monatshefte für Mathematik 1 Probability Theory and Related Fields 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Notices of the American Mathematical Society 1 Experimental Mathematics 1 Conformal Geometry and Dynamics 1 Geometry & Topology 1 Discrete and Continuous Dynamical Systems. Series S 1 Forum of Mathematics, Sigma 1 Annales Henri Lebesgue all top 5 Fields 28 Dynamical systems and ergodic theory (37-XX) 21 Number theory (11-XX) 10 Several complex variables and analytic spaces (32-XX) 7 Functions of a complex variable (30-XX) 7 Convex and discrete geometry (52-XX) 5 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 4 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 318 times in 227 Documents Cited by ▼ Year ▼ Lattice point asymptotics and volume growth on Teichmüller space. Zbl 1246.37009 Athreya, Jayadev; Bufetov, Alexander; Eskin, Alex; Mirzakhani, Maryam 32 2012 Logarithm laws for unipotent flows. I. Zbl 1184.37007 Athreya, Jayadev S.; Margulis, Gregory A. 29 2009 Quantitative recurrence and large deviations for Teichmüller geodesic flow. Zbl 1108.32007 Athreya, Jayadev S. 28 2006 Right-angled billiards and volumes of moduli spaces of quadratic differentials on \(\mathbb{C}\mathrm{P}^1\). (Billards à angles droits et volumes des espaces de modules des différentielles quadratiques sur \(\mathbb{C}\mathrm{P}^1\).) Zbl 1372.32020 Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton 28 2016 Cantor set arithmetic. Zbl 1406.28001 Athreya, Jayadev S.; Reznick, Bruce; Tyson, Jeremy T. 19 2019 Ultrametric logarithm laws. II. Zbl 1338.37007 Athreya, J. S.; Ghosh, Anish; Prasad, Amritanshu 15 2012 Values of random polynomials at integer points. Zbl 1454.11126 Athreya, Jayadev S.; Margulis, Gregory A. 15 2018 Logarithm laws and shrinking target properties. Zbl 1184.37004 Athreya, J. S. 14 2009 A Poincaré section for the horocycle flow on the space of lattices. Zbl 1351.37145 Athreya, Jayadev S.; Cheung, Yitwah 12 2014 Deviation of ergodic averages for rational polygonal billiards. Zbl 1153.37001 Athreya, J. S.; Forni, G. 12 2008 The gap distribution of slopes on the golden \(L\). Zbl 1332.37027 Athreya, Jayadev S.; Chaika, Jon; Lelièvre, Samuel 10 2015 Counting generalized Jenkins-Strebel differentials. Zbl 1290.32012 Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton 10 2014 Ergodic theory and Diophantine approximation for translation surfaces and linear forms. Zbl 1365.37036 Athreya, Jayadev; Parrish, Andrew; Tseng, Jimmy 9 2016 Spiraling of approximations and spherical averages of Siegel transforms. Zbl 1348.37012 Athreya, Jayadev S.; Ghosh, Anish; Tseng, Jimmy 9 2015 The distribution of gaps for saddle connection directions. Zbl 1257.32010 Athreya, J. S.; Chaika, J. 9 2012 The Hausdorff dimension of non-uniquely ergodic directions in \(H(2)\) is almost everywhere \(1/2\). Zbl 1353.37066 Athreya, Jayadev S.; Chaika, Jonathan 7 2015 Random affine lattices. Zbl 1360.11079 Athreya, Jayadev S. 7 2015 Cusp excursions on parameter spaces. Zbl 1277.37006 Athreya, Jayadev S. 7 2013 Siegel-Veech transforms are in \(L^2\). Zbl 1432.32011 Athreya, Jayadev S.; Cheung, Yitwah; Masur, Howard 6 2019 Ultrametric logarithm laws. I. Zbl 1175.37009 Athreya, J. S.; Ghosh, Anish; Prasad, Amritanshu 5 2009 A trajectory from a vertex to itself on the dodecahedron. Zbl 1409.51021 Athreya, Jayadev S.; Aulicino, David 5 2019 On the asymptotics of discrete order statistics. Zbl 0987.62006 Athreya, J. S.; Sethuraman, S. 4 2001 The Erdős-Szüsz-Turán distribution for equivariant processes. Zbl 1435.37014 Athreya, Jayadev S.; Ghosh, Anish 4 2018 Platonic solids and high genus covers of lattice surfaces. Zbl 1502.14072 Athreya, Jayadev S.; Aulicino, David; Hooper, W. Patrick; Randecker, Anja 3 2022 Ergodic properties of compositions of interval exchange maps and rotations. Zbl 1276.37030 Athreya, Jayadev S.; Boshernitzan, Michael 3 2013 Logarithm laws for unipotent flows. II. Zbl 1402.37003 Athreya, Jayadev S.; Margulis, Gregory A. 3 2017 Number theory, balls in boxes, and the asymptotic uniqueness of maximal discrete order statistics. Zbl 1070.60501 Athreya, Jayadev S.; Fidkowski, Lukasz M. 2 2000 Logarithm laws for strong unstable foliations in negative curvature and non-Archimedian Diophantine approximation. Zbl 1347.37065 Athreya, Jeyadev S.; Paulin, Frédéric 2 2014 Geometry of Farey-Ford polygons. Zbl 1360.37007 Athreya, Jayadev; Chaubey, Sneha; Malik, Amita; Zaharescu, Alexandru 2 2015 Gap distributions and homogeneous dynamics. Zbl 1364.37006 Athreya, Jayadev S. 2 2016 Square-integrability of the Mirzakhani function and statistics of simple closed geodesics on hyperbolic surfaces. Zbl 1442.30046 Arana-Herrera; Athreya, Jayadev S. 2 2020 Radial density in Apollonian packings. Zbl 1328.52009 Athreya, Jayadev S.; Cobeli, Cristian; Zaharescu, Alexandru 1 2015 On pinned billiard balls and foldings. Zbl 07741126 Athreya, Jayadev S.; Burdzy, Krzysztof; Duarte, Mauricio 1 2023 Local geometry of random geodesics on negatively curved surfaces. (Géométrie locale des géodésiques aléatoires sur les surfaces de courbure strictement négative.) Zbl 1492.37041 Athreya, Jayadev; Lalley, Steve; Sapir, Jenya; Wroten, Matthew 1 2021 On pinned billiard balls and foldings. Zbl 07741126 Athreya, Jayadev S.; Burdzy, Krzysztof; Duarte, Mauricio 1 2023 Platonic solids and high genus covers of lattice surfaces. Zbl 1502.14072 Athreya, Jayadev S.; Aulicino, David; Hooper, W. Patrick; Randecker, Anja 3 2022 Local geometry of random geodesics on negatively curved surfaces. (Géométrie locale des géodésiques aléatoires sur les surfaces de courbure strictement négative.) Zbl 1492.37041 Athreya, Jayadev; Lalley, Steve; Sapir, Jenya; Wroten, Matthew 1 2021 Square-integrability of the Mirzakhani function and statistics of simple closed geodesics on hyperbolic surfaces. Zbl 1442.30046 Arana-Herrera; Athreya, Jayadev S. 2 2020 Cantor set arithmetic. Zbl 1406.28001 Athreya, Jayadev S.; Reznick, Bruce; Tyson, Jeremy T. 19 2019 Siegel-Veech transforms are in \(L^2\). Zbl 1432.32011 Athreya, Jayadev S.; Cheung, Yitwah; Masur, Howard 6 2019 A trajectory from a vertex to itself on the dodecahedron. Zbl 1409.51021 Athreya, Jayadev S.; Aulicino, David 5 2019 Values of random polynomials at integer points. Zbl 1454.11126 Athreya, Jayadev S.; Margulis, Gregory A. 15 2018 The Erdős-Szüsz-Turán distribution for equivariant processes. Zbl 1435.37014 Athreya, Jayadev S.; Ghosh, Anish 4 2018 Logarithm laws for unipotent flows. II. Zbl 1402.37003 Athreya, Jayadev S.; Margulis, Gregory A. 3 2017 Right-angled billiards and volumes of moduli spaces of quadratic differentials on \(\mathbb{C}\mathrm{P}^1\). (Billards à angles droits et volumes des espaces de modules des différentielles quadratiques sur \(\mathbb{C}\mathrm{P}^1\).) Zbl 1372.32020 Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton 28 2016 Ergodic theory and Diophantine approximation for translation surfaces and linear forms. Zbl 1365.37036 Athreya, Jayadev; Parrish, Andrew; Tseng, Jimmy 9 2016 Gap distributions and homogeneous dynamics. Zbl 1364.37006 Athreya, Jayadev S. 2 2016 The gap distribution of slopes on the golden \(L\). Zbl 1332.37027 Athreya, Jayadev S.; Chaika, Jon; Lelièvre, Samuel 10 2015 Spiraling of approximations and spherical averages of Siegel transforms. Zbl 1348.37012 Athreya, Jayadev S.; Ghosh, Anish; Tseng, Jimmy 9 2015 The Hausdorff dimension of non-uniquely ergodic directions in \(H(2)\) is almost everywhere \(1/2\). Zbl 1353.37066 Athreya, Jayadev S.; Chaika, Jonathan 7 2015 Random affine lattices. Zbl 1360.11079 Athreya, Jayadev S. 7 2015 Geometry of Farey-Ford polygons. Zbl 1360.37007 Athreya, Jayadev; Chaubey, Sneha; Malik, Amita; Zaharescu, Alexandru 2 2015 Radial density in Apollonian packings. Zbl 1328.52009 Athreya, Jayadev S.; Cobeli, Cristian; Zaharescu, Alexandru 1 2015 A Poincaré section for the horocycle flow on the space of lattices. Zbl 1351.37145 Athreya, Jayadev S.; Cheung, Yitwah 12 2014 Counting generalized Jenkins-Strebel differentials. Zbl 1290.32012 Athreya, Jayadev S.; Eskin, Alex; Zorich, Anton 10 2014 Logarithm laws for strong unstable foliations in negative curvature and non-Archimedian Diophantine approximation. Zbl 1347.37065 Athreya, Jeyadev S.; Paulin, Frédéric 2 2014 Cusp excursions on parameter spaces. Zbl 1277.37006 Athreya, Jayadev S. 7 2013 Ergodic properties of compositions of interval exchange maps and rotations. Zbl 1276.37030 Athreya, Jayadev S.; Boshernitzan, Michael 3 2013 Lattice point asymptotics and volume growth on Teichmüller space. Zbl 1246.37009 Athreya, Jayadev; Bufetov, Alexander; Eskin, Alex; Mirzakhani, Maryam 32 2012 Ultrametric logarithm laws. II. Zbl 1338.37007 Athreya, J. S.; Ghosh, Anish; Prasad, Amritanshu 15 2012 The distribution of gaps for saddle connection directions. Zbl 1257.32010 Athreya, J. S.; Chaika, J. 9 2012 Logarithm laws for unipotent flows. I. Zbl 1184.37007 Athreya, Jayadev S.; Margulis, Gregory A. 29 2009 Logarithm laws and shrinking target properties. Zbl 1184.37004 Athreya, J. S. 14 2009 Ultrametric logarithm laws. I. Zbl 1175.37009 Athreya, J. S.; Ghosh, Anish; Prasad, Amritanshu 5 2009 Deviation of ergodic averages for rational polygonal billiards. Zbl 1153.37001 Athreya, J. S.; Forni, G. 12 2008 Quantitative recurrence and large deviations for Teichmüller geodesic flow. Zbl 1108.32007 Athreya, Jayadev S. 28 2006 On the asymptotics of discrete order statistics. Zbl 0987.62006 Athreya, J. S.; Sethuraman, S. 4 2001 Number theory, balls in boxes, and the asymptotic uniqueness of maximal discrete order statistics. Zbl 1070.60501 Athreya, Jayadev S.; Fidkowski, Lukasz M. 2 2000 all cited Publications top 5 cited Publications all top 5 Cited by 250 Authors 15 Athreya, Jayadev S. 11 Ghosh, Anish 10 Jiang, Kan 7 Forni, Giovanni 7 Kleinbock, Dmitry Ya. 6 Chaika, Jonathan 6 Eskin, Alex 6 Kelmer, Dubi 6 Margulis, Grigoriĭ Aleksandrovich 6 Masur, Howard A. 6 Yu, Shucheng 5 Chen, Dawei 5 Goujard, Elise 5 Han, Jiyoung 5 Mirzakhani, Maryam 4 Arana-Herrera, Francisco 4 Aulicino, David 4 Avila, Artur 4 Kirsebom, Maxim Sølund 4 Möller, Martin 4 Paulin, Frédéric 4 Skenderi, Mishel 4 Wright, Alex 4 Zhao, Bing 3 Alam, Mahbub 3 Björklund, Michael 3 Bufetov, Aleksandr Igorevich 3 Delecroix, Vincent 3 Dozier, Benjamin 3 Gadre, Vaibhav S. 3 Gorodnik, Alexander 3 Gu, Jiangwen 3 Kwon, Sanghoon 3 Maher, Joseph 3 Marklof, Jens 3 Miyachi, Hideki 3 Mohammadi, Amir 3 Nguyen, Duc-Manh 3 Rafi, Kasra 3 Ren, Xiaomin 3 Sauvaget, Adrien 3 Tian, Li 3 Uyanik, Caglar 3 Xi, Lifeng 3 Zhu, Jiali 3 Zorich, Anton Vladimirovich 2 Apisa, Paul 2 Araújo, Vítor 2 Borot, Gaëtan 2 Buterus, Paul 2 Dolgopyat, Dmitry 2 Dowdall, Spencer 2 Erlandsson, Viveka 2 Fayad, Bassam R. 2 Fu, Ser-Wei 2 Ganguly, Arijit 2 Giacchetto, Alessandro 2 Götze, Friedrich 2 Gouëzel, Sébastien 2 Heersink, Byron 2 Hille, Thomas 2 Khalil, Osama 2 Kim, Seungki 2 Koziarz, Vincent 2 Kunde, Philipp 2 Lazar, Youssef 2 Lewanski, Danilo 2 Li, Wenxia 2 Lim, Seonhee 2 Magee, Michael 2 Malik, Amita 2 Matheus, Carlos 2 Pardo, Angel 2 Persson, Tomas 2 Podvigin, Ivan Viktorovich 2 Rühr, Rene 2 Shi, Ronggang 2 Souto, Juan 2 Strömbergsson, Andreas 2 Vinogradov, Ilya 2 Weiss, Barak 2 Work, Grace 2 Zagier, Don Bernard 2 Zhang, Xin 2 Zhuravlev, Vladimir Georgievich 2 Zograf, Peter 1 Adiceam, Faustin 1 Aggarwal, Amol 1 Al-Saqban, Hamid 1 Andersen, Jørgen Ellegaard 1 Aougab, Tarik 1 Astrauskas, Arvydas 1 Athreya, Krishna Balasundaram 1 Bai, James Haoyu 1 Baik, Hyungryul 1 Bainbridge, Matt 1 Bandi, Prasuna 1 Barros, Vanessa 1 Berman, Jonah 1 Boshernitzan, Michael D. ...and 150 more Authors all top 5 Cited in 90 Serials 17 Journal of Modern Dynamics 15 Geometric and Functional Analysis. GAFA 9 Ergodic Theory and Dynamical Systems 7 Advances in Mathematics 7 Geometriae Dedicata 7 Inventiones Mathematicae 7 Discrete and Continuous Dynamical Systems 6 Journal of Mathematical Analysis and Applications 6 Duke Mathematical Journal 6 Journal of the European Mathematical Society (JEMS) 5 Journal of the London Mathematical Society. Second Series 5 Transactions of the American Mathematical Society 5 Groups, Geometry, and Dynamics 4 Nonlinearity 4 Acta Arithmetica 4 Journal of Number Theory 4 Fractals 4 Geometry & Topology 3 Israel Journal of Mathematics 3 Compositio Mathematica 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Annals of Mathematics. Second Series 2 American Mathematical Monthly 2 Journal d’Analyse Mathématique 2 Publications Mathématiques 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the American Mathematical Society 2 Probability Theory and Related Fields 2 Journal of the American Mathematical Society 2 L’Enseignement Mathématique. 2e Série 2 Indagationes Mathematicae. New Series 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 Selecta Mathematica. New Series 2 Conformal Geometry and Dynamics 2 Integers 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Journal de l’École Polytechnique – Mathématiques 2 Annales Fennici Mathematici 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Problems of Information Transmission 1 Chaos, Solitons and Fractals 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 Journal of Applied Probability 1 Journal of Differential Equations 1 Journal of Statistical Planning and Inference 1 Le Matematiche 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the Moscow Mathematical Society 1 Topology and its Applications 1 Acta Mathematica Hungarica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Theoretical Probability 1 The Annals of Applied Probability 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Matematicheskie Trudy 1 Extremes 1 Journal of Dynamical and Control Systems 1 Annales Henri Poincaré 1 Algebraic & Geometric Topology 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Number Theory 1 The College Mathematics Journal 1 Electronic Research Announcements in Mathematical Sciences 1 Science China. Mathematics 1 Moscow Journal of Combinatorics and Number Theory 1 Forum of Mathematics, Pi 1 EMS Surveys in Mathematical Sciences 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 Transactions of the American Mathematical Society. Series B 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 32 Fields 121 Dynamical systems and ergodic theory (37-XX) 75 Number theory (11-XX) 61 Several complex variables and analytic spaces (32-XX) 60 Functions of a complex variable (30-XX) 30 Measure and integration (28-XX) 23 Probability theory and stochastic processes (60-XX) 19 Algebraic geometry (14-XX) 18 Manifolds and cell complexes (57-XX) 16 Topological groups, Lie groups (22-XX) 14 Differential geometry (53-XX) 12 Combinatorics (05-XX) 12 Group theory and generalizations (20-XX) 8 Convex and discrete geometry (52-XX) 5 Statistics (62-XX) 4 Geometry (51-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Citations by Year