Random walk with long-range interaction with a barrier and its dual: Exact results

We consider the random walk on Z+ = {0, 1, ...} , with up and down transition probabilities given the chain is in state x {1, 2, ...}: (1) px = 1 2 ,, 1 2x +

• Type: Journal
• Year: 2010
• Where: JCAM
• Authors: Thierry Huillet
• Keywords: JCAM 2010, Orthogonal Polynomials, Random Walk, Real Tuning Parameter