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arXiv · 2201.05859

On Merging of Stochastic Flow of Semi-Markov Dynamics

Anindya Goswami·Ravishankar Kapildev Yadav
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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.

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Anindya Goswami, Ravishankar Kapildev Yadav. 2022-01-15. On Merging of Stochastic Flow of Semi-Markov Dynamics. https://arxiv.org/abs/2201.05859

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