## Papers $\def\Z{\mathbb Z} \def\Q{\mathbb Q} \def\Torelli{\mathcal I}$

My papers are all posted to the arXiv.

 [article] [abstract] J.S. Athreya, G. Margulis Logarithm Laws for Unipotent Flows, II. preprint, 2014. [article] [abstract] J.S. Athreya Random Affine Lattices. Contemporary Mathematics, volume 639, 169-174, 2015. [article] [abstract] J.S. Athreya, C.Cobeli, A. Zaharescu Radial Density in Apollonian Packings. International Mathematics Research Notices, 2014. [article] [abstract] J.S. Athreya, S. Chaubey, A. Malik, A. Zaharescu Geometric statistics of Ford circles. New York Journal of Mathematics 21 (2015) 637–656. [article] [abstract] J. S. Athreya, A. Prasad Growth in Right-Angled Artin Groups and Monoids. preprint, 2014. [article] [abstract] J. S. Athreya, A. Ghosh, J. Tseng Spherical averages of Siegel transforms for higher rank diagonal actions and applications preprint, 2014. [article] [abstract] J. S. Athreya, J. Chaika The Hausdorff Dimension of Non-Uniquely Ergodic directions in H(2) is almost everywhere 1/2. Geometry & Topology 19 (2015) 3537–3563. [article] [abstract] J. S. Athreya, A. Parrish, J. Tseng Ergodic Theory and Diophantine approximation for linear forms and translation surfaces. Nonlinearity, Volume 29, Number 8 , 2016. [article] [abstract] J. S. Athreya, J. Chaika, S. Lelievre The gap distribution of slopes on the golden L. Contemporary Mathematics, volume 631, 47-62, 2015. [article] [abstract] J. S. Athreya, A. Ghosh, J. Tseng Spherical averages of Siegel transforms and spiraling of lattice approximations. Journal of London Mathematical Society, (2015) 91 (2): 383-404. [article] [abstract] J. S. Athreya, A. Eskin, A. Zorich Counting generalized Jenkins-Strebel differentials. Geometriae Dedicata, Volume 170, 195-217, 2014. [article] [abstract] J. S. Athreya, A. Eskin, A. Zorich, with an appendix by J. Chaika Right-angled billiards and volumes of moduli spaces of quadratic differentials on $\mathbb{C}P^1$. Annales scientifiques ENS, volume 49, number 6, 2016. [article] [abstract] J. S. Athreya Gap distributions and homogeneous dynamics. Proceedings of ICM Satellite Conference on Geometry, Topology, and Dynamics in Negative Curvature, forthcoming. [article] [abstract] J. S. Athreya, M. Boshernitzan Ergodic Properties of Compositions of Interval Exchange Maps and Rotations. Nonlinearity Volume 26, 417-423, 2013. [article] [abstract] J. S. Athreya, A. Ghosh, A. Prasad Buildings, Extensions, and Volume Growth Entropy. New York Journal of Mathematics, Volume 19, 1-11, 2013. [article] [abstract] J. S. Athreya, Y. Cheung A Poincaré section for horocycle flow on the space of lattices. International Mathematics Research Notices, Issue 10, 2643-2690, 2014. [article] [abstract] J.S. Athreya, F. Paulin Logarithm laws for strong unstable foliations in negative curvature and non-Archimedian Diophantine approximations. Groups, Geometry, and Dynamics, Volume 8, Issue 2, 285-309, 2014. [article] [abstract] J.S. Athreya Cusp Excursions on Parameter Spaces. Journal of London Mathematical Society, Volume 87, Issue 3, 741-765, 2013. [article] [abstract] J.S. Athreya, A. Ghosh, A. Prasad Ultrametric Logarithm Laws, II. Monatshefte für Mathematik, Volume 167, 333-356, 2012. [article] [abstract] J.S. Athreya, J. Chaika The distribution of gaps for saddle connection directions. Geometric and Functional Analysis,Volume 22, Issue 6, 1491-1516, 2012. [article] [abstract] J.S. Athreya, A. Bufetov, A. Eskin, M. Mirzakhani Lattice point asymptotics and volume growth on Teichmuller space. Duke Mathematical Journal, Volume 161, Number 6, 1055-1111, 2012. [article] [abstract] J.S. Athreya, G. Margulis Logarithm laws for unipotent flows, I. Journal of Modern Dynamics, Issue 3, 359 - 378, 2009. [article] [abstract] J.S. Athreya Logarithm laws and shrinking target properties. Proceedings of the Indian Academy of Sciences-Mathematical Sciences, Volume 119, Number 4, pages 541-559, 2009. [article] [abstract] J.S. Athreya, A. Ghosh, A. Prasad Ultrametric Logarithm Laws, I. Discrete and Continuous Dynamical Systems, Volume 2, Issue 2, 337 - 348, 2009. [article] [abstract] J.S. Athreya, G. Forni Deviation of ergodic averages for rational polygonal billiards. Duke Mathematical Journal, Volume 144, Number 2, 285-319, 2008. [article] [abstract] J.S. Athreya Quantitative Recurrence and Large Deviations for Teichmuller Geodesic Flow. Geometriae Dedicata, Volume 119, Issue 1, pp 121-140, 2006.