Derivation of the First Passage Time Distribution for Markovian Process on Discrete Network
Statistical Mechanics
2022-03-30 v3 Biological Physics
Chemical Physics
Abstract
Based on the analysis of probability flow, where the First Passage (FP) is realised as the sink of probability, we summarise the protocol to find the distribution of the First Passage Time (FTP). We also describe the corresponding formula for the discrete time case.
Cite
@article{arxiv.2110.02216,
title = {Derivation of the First Passage Time Distribution for Markovian Process on Discrete Network},
author = {Ken Sekimoto},
journal= {arXiv preprint arXiv:2110.02216},
year = {2022}
}
Comments
6 pages, 6 figures; In v3 a figure (Fig.5) with some words are added at the last of the main text in order to complement v2