Unlike many particle systems, activated random walk has nontrivial behavior even in one spatial dimension. We prove inner and outer bounds on the spread of n activated random walkers from a single source in Z. The inner bound involves a comparison with the stationary distribution of activated random walkers on a finite interval, while the outer bound involves a comparison with the stabilization of an infinite Bernoulli configuration of activated random walkers on Z.
How Far do Activated Random Walkers Spread from a Single Source? / Levine, L.; Silvestri, V.. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 185:3(2021). [10.1007/s10955-021-02836-9]
How Far do Activated Random Walkers Spread from a Single Source?
Silvestri V.
2021
Abstract
Unlike many particle systems, activated random walk has nontrivial behavior even in one spatial dimension. We prove inner and outer bounds on the spread of n activated random walkers from a single source in Z. The inner bound involves a comparison with the stationary distribution of activated random walkers on a finite interval, while the outer bound involves a comparison with the stabilization of an infinite Bernoulli configuration of activated random walkers on Z.| File | Dimensione | Formato | |
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Note: How Far do Activated Random Walkers Spread from a Single Source?
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