|
|||||
|
|
Random Walk on Surfaces with Hyperbolic Cusps |
|
| Authors: | Hans Christianson Colin Guillarmou Laurent Michel |
| Institution: | 1. Department of Mathematics, UNC-Chapel Hill, CB#3250 Phillips Hall, Chapel Hill, NC, 27599, USA 2. DMA, U.M.R. 8553, CNRS, Ecole Normale Sup??rieure, 45, rue d??Ulm, 75230, Paris Cedex 05, France 3. Lab. Dieudonn??, Univ. de Nice Sophia-Antipolis, Parc Valrose, 06108, Nice, France |
| Abstract: | We consider the operator associated with a random walk on finite volume surfaces with hyperbolic cusps. We study the spectral gap (upper and lower bound) associated with this operator and deduce some rate of convergence of the iterated kernel towards its stationary distribution. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |