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arXiv · 1601.05398

An interacting particle system with geometric jump rates near a partially reflecting boundary

Jeffrey Kuan
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Abstract

This paper constructs a new interacting particle system on a two--dimensional lattice with geometric jumps near a boundary which partially reflects the particles. The projection to each horizontal level is Markov, and on every level the dynamics match stochastic matrices constructed from pure alpha characters of $Sp(\infty)$, while on every other level they match an interacting particle system from Pieri formulas for $Sp(2r)$. Using a previously discovered correlation kernel, asymptotics are shown to be the Discrete Jacobi and Symmetric Pearcey processes.

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Jeffrey Kuan. 2016-01-20. An interacting particle system with geometric jump rates near a partially reflecting boundary. https://arxiv.org/abs/1601.05398

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