A Random Walk in a Random Environment

Author

Edwin Andrew Sanchez

Publication Date

1-9-1978

Abstract

In this dissertation we consider a model of a random walk, (Z_n}, on R(1) where the distribution of (Z_n} is dependent on a stochastic process (Y_n} and is given by g_y(z) where Y_n-1 = y . Conditions on the environmental process (Y_n} are given for which transience or recurrence of the random walk (Z_n} can be detennined. The probability of n absorption and mean time problems are solved when (Y_n} is a finite Markov chain and (Z_n} is a classical random walk on the integer lattice.

Degree Name

Mathematics

Level of Degree

Doctoral

Department Name

Mathematics & Statistics

First Committee Member (Chair)

Robert Francis Cogburn

Second Committee Member

Reuben Hersh

Third Committee Member

Richard Jerome Griego

Language

English

Document Type

Dissertation

Recommended Citation

Sanchez, Edwin Andrew. "A Random Walk in a Random Environment." (1978). https://digitalrepository.unm.edu/math_etds/134