number theoretic problems posed by Erdos-Szusz-Turan and Kesten

<strong>School of Physical Sciences Jawaharlal Nehru University, New Delhi The Erdos-Szusz-Turan and Kesten Distributions</strong> <strong>Jayadev Athreya</strong> University of Washington, Seattle <strong>Date: June 20, 2016 </strong> We show how number theoretic problems posed by Erdos-Szusz-Turan and Kesten about the probability of improving Dirichlet's theorem can be solved and generalized using ideas from dynamical systems. (Based on joint work with Anish Ghosh.)