Universality and Sharpness in Activated Random Walks

Universality and Sharpness in Activated Random Walks
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激活随机游走的普适性和锐度

DOI:
10.1007/s00023-019-00797-0
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发表时间:
2019
期刊:
Annales Henri Poincaré
影响因子:
--
通讯作者:
Olivier Zindy
Olivier Zindy
中科院分区:
--
文献类型:
--
作者:
L. Rolla;V. Sidoravicius;Olivier Zindy

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本文考虑了具有任意睡眠率和跳跃分布的任意维激活随机游动模型。我们表明,稳定性只依赖于粒子的平均密度,而不管它们最初是如何位于晶格上。
We consider the activated random walk model in any dimension with any sleep rate and jump distribution and ergodic initial state. We show that the stabilization properties depend only on the average density of particles, regardless of how they are initially located on the lattice.