大象和阿耳茨海默随机游动的解析公式、精确解和推广
Analytic Formulation, Exact Solutions, and Generalizations of the Elephant and the Alzheimer Random Walks
摘要：
最近引入的具有记忆的随机游走的分析公式[Cressoni等人，物理修订信函98，070603（2007）和Schütz和Trimper，Phys.Rev.E70，045101（2004）]，以及基于Fokker-Planck方程的精确解。的延迟微分方程的解导出的目的是产生对数周期振荡，而准确地与以前发表的计算机模拟结果相吻合。沿着几个方向的推广也构造的形式主义的基础上。
英文摘要：
An analytic formulation of memory-possessing random walks introduced recently [Cressoni et al., Phys. Rev. Lett. 98, 070603 (2007) and Schütz and Trimper, Phys. Rev. E 70, 045101 (2004)] for Alzheimer behavior and related phenomena is provided along with exact solutions on the basis of Fokker-Planck equations. The solution of a delay-differential equation derived for the purpose is shown to produce log-periodic oscillations and to coincide rather accurately with previously published computer simulation results. Generalizations along several directions are also constructed on the basis of the formalism.
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。
