Details:
Title  The Local Limit Theorem for Random Walks on Free Groups  Author(s)  Steve Lalley  Type  Technical Report, Misc  Abstract  Introduction
Local limit theorems and saddlepoint approximations are given for random walks on a free group whose step distributions have finite support. These are derived by exploiting a set of algebraic relations among certain generating functions that arise naturally in connection with the transition probabilities of the random walks. Basic tools involved in the analysis are the elementary theory of algebraic functions, the PerronFrobenius theory of nonnegative matrices, and standard techniques of singularity analysis. 
Language  English  Year  1999  Month  May  Edition  0  Translation 
No  Refereed 
No 
