
量子漫步及其应用:一个系统综述 - 知乎 - 知乎专栏
连续时间随机游走 (CTRW):如果用于测量每个位置的概率的时间是连续函数,即以波的形式,则它是连续时间随机游走,例如布朗运动。在CTRW中,一个过程取值X在't'时间步的概率是P(X,t),p(X,t)=∑n=0∞P(n,t)Pn(X)[25]。
In this paper we study the behavior of a continuous time ran-dom walk (CTRW) on a stationary and ergodic time varying dynamic graph. We establish conditions under which the CTRW is a stationary and ergodic process. In general, the stationary distribution of the walker depends on the walker rate and is di cult to characterize.
Continuous-time random walk - Wikipedia
In mathematics, a continuous-time random walk (CTRW) is a generalization of a random walk where the wandering particle waits for a random time between jumps. It is a stochastic jump process with arbitrary distributions of jump lengths and waiting times.
连续时间随机游走(Continuous-time random walk, CTRW) …
2022年9月21日 · CTRW 由 Montroll 和 Weiss 引入,作为物理扩散过程的推广,以有效描述异常扩散(anomalous diffusion),即超扩散和亚扩散情况(super- and sub-diffusive cases)。 CTRW 的等效公式由广义主方程给出。
To address random waiting times in the context of continuous time random walks (CTRWs), we will begin with a brief overview of Laplace transforms and renewal theory, including an example in which the waiting time is given by a Poisson PDF. We will then apply these techniques to a separable CTRW, as first proposed by Montroll and Weiss.
Characterizing Continuous Time Random Walks on Time Varying Graphs
2011年12月25日 · In this paper we study the behavior of a continuous time random walk (CTRW) on a stationary and ergodic time varying dynamic graph. We establish conditions under which the CTRW is a stationary and...
Continuous-Time Random Walk - an overview - ScienceDirect
Continuous-time random walk is an extension of the random walk. More specifically, it is constructed by introducing a new source of randomness to the random walk. This new source of randomness is waiting time. In this chapter, we first discuss the continuous-time random walk, and then move on to its applications in financial economics.
In this paper we study the steady state behavior of continuous-time random walks (CTRW) on Markov dynamic networks. We consider two types of CTRWs: one that walks at a con-stant rate (CTRW-C) and another that walks with a rate proportional to the vertex degree (CTRW-D).
Coupled continuous time random walk with Lévy distribution jump …
2024年2月1日 · The continuous time random walk (CTRW) models are highly valued for studying anomalous diffusion, a ubiquitous phenomenon in complex media whose mean squared displacement (MSD) exhibits power-law behavior.
Characterizing continuous time random walks on time varying graphs …
2012年6月11日 · In this paper we study the behavior of a continuous time random walk (CTRW) on a stationary and ergodic time varying dynamic graph. We establish conditions under which the CTRW is a stationary and ...
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