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2016 An interacting particle system with geometric jump rates near a partially reflecting boundary
Jeffrey Kuan
Electron. Commun. Probab. 21: 1-15 (2016). DOI: 10.1214/16-ECP27

Abstract

This paper constructs a new interacting particle system on $\mathbb{Z} _{\geq 0}\times \mathbb{Z} _+$ with geometric jumps near the boundary $\{0\}\times \mathbb{Z} _+$ 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.

Citation

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Jeffrey Kuan. "An interacting particle system with geometric jump rates near a partially reflecting boundary." Electron. Commun. Probab. 21 1 - 15, 2016. https://doi.org/10.1214/16-ECP27

Information

Received: 29 January 2016; Accepted: 18 October 2016; Published: 2016
First available in Project Euclid: 15 November 2016

zbMATH: 1384.60098
MathSciNet: MR3580445
Digital Object Identifier: 10.1214/16-ECP27

Subjects:
Primary: 60

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