复位单向随机增长
Unidirectional Random Growth with Resetting
摘要:
对无细致平衡条件的随机过程进行了回顾和分类。我们得到平稳分布,并调查其稳定性的广义熵发散超越Kullback-Leibler公式。研究了一个简单的随机模型,该模型具有局部增长率和直接重置到基态,并应用于各种网络,科学引文和Facebook的流行度,高能粒子反应中的强子产额,收入和财富分布,生物多样性和定居规模分布。
英文摘要:
We review and classify stochastic processes without detailed balance condition. We obtain stationary distributions and investigate their stability in terms of generalized entropic divergences beyond the Kullback-Leibler formula. A simple stochastic model with local growth rates and direct resetting to the ground state is investigated and applied to various networks, scientific citations and Facebook popularity, hadronic yields in high energy particle reactions, income and wealth distributions, biodiversity and settlement size distribution.
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。