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- W2094083269 abstract "Juggler's exclusion process describes a system of particles on the positive integers where particles drift down to zero at unit speed. After a particle hits zero, it jumps into a randomly chosen unoccupied site. We model the system as a set-valued Markov process and show that the process is ergodic if the family of jump height distributions is uniformly integrable. In a special case where the particles jump according to a set-avoiding memoryless distribution, the process reaches its equilibrium in finite nonrandom time, and the equilibrium distribution can be represented as a Gibbs measure conforming to a linear gravitational potential." @default.
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- W2094083269 date "2012-03-01" @default.
- W2094083269 modified "2023-09-23" @default.
- W2094083269 title "Juggler's Exclusion Process" @default.
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- W2094083269 doi "https://doi.org/10.1239/jap/1331216846" @default.
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