On Merging of Stochastic Flow of Semi-Markov Dynamics
Abstract
Given a semi-Markov law, using an additional parameter, we consider a family of stochastic flows corresponding to that law. Then we suitably select a particular flow, for which we obtain expressions of the meeting and merging probabilities of a pair of semi-Markov processes, solving the same equation but having two different initial conditions. A set of sufficient conditions are also obtained under which any two solutions of the flow eventually merge with probability one.
Keywords
Cite
@article{arxiv.2201.05859,
title = {On Merging of Stochastic Flow of Semi-Markov Dynamics},
author = {Anindya Goswami and Ravishankar Kapildev Yadav},
journal= {arXiv preprint arXiv:2201.05859},
year = {2022}
}
Comments
An additional researcher has extended a part of the work presented in the earlier version. So, there are more authors than before. Also, now the length of the work is too long to be a single paper. So, we split the work into two articles. The extension part appears as a separate paper in arxiv.2207.06132. The present version consists of the rest