On the Expected Extinction Time for the Adjoint Circuit Chains Associated with a Random Walk with Jumps in Random Environments

Abstract

We study appropriate expressions of the expected extinction time for the “adjoint” Markov chains describing uniquely a nonhomogeneous random walk with jumps (with step − 1 or + 1 or in the same position having a right elastic barrier at 0) through their unique representations by directed circuits and weights (circuit chains) in random environments. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.