A random walk proof of the Erdős-Taylor conjecture

Springer Science and Business Media LLC - Tập 50 - Trang 223-245 - 2005
Jay Rosen1
1Department of Mathematics College of Staten Island, CUNY

Tóm tắt

For the simple random walk in ]]>\mathbb{Z}^2$ we study those points which are visited an unusually large number of times, and provide a new proof of the Erdős-Taylor Conjecture describing the number of visits to the most visited point.