• Corpus ID: 199472888

# Stochastic Fusion of Interacting Particle Systems and Duality Functions

@article{Kuan2019StochasticFO,
title={Stochastic Fusion of Interacting Particle Systems and Duality Functions},
author={Jeffrey Kuan},
journal={arXiv: Probability},
year={2019}
}
• Jeffrey Kuan
• Published 6 August 2019
• Mathematics
• arXiv: Probability
We introduce a new method, which we call stochastic fusion, which takes an exclusion process and constructs an interacting particle systems in which more than one particle may occupy a lattice site. The construction only requires the existence of stationary measures of the original exclusion process on a finite lattice. If the original exclusion process satisfies Markov duality on a finite lattice, then the construction produces Markov duality functions (for some initial conditions) for the…

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