有偏激活随机游动的非固定性
Non-fixation for Biased Activated Random Walks
摘要：
本文证明了Z^d上具有偏跳分布的激活随机游动模型，如果睡眠率足够小，则对任何正密度都不固定;如果睡眠率足够接近1，则对任何有限睡眠率都不固定。该证明使用了一个新的非固定标准。我们提供了一个路径建设的过程中，独立的利益，用于证明这一非固定标准。
英文摘要：
We prove that the model of Activated Random Walks on Z^d with biased jump distribution does not fixate for any positive density, if the sleep rate is small enough, as well as for any finite sleep rate, if the density is close enough to 1. The proof uses a new criterion for non-fixation. We provide a pathwise construction of the process, of independent interest, used in the proof of this non-fixation criterion.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
