WebbRandom walks process on networks plays a fundamental role in understanding the importance of nodes and the similarity of them, which has been widely applied in PageRank, information retrieval, and community detection, etc. An individual's memory has been proved to be crucial to affect network evolut … Webb15 nov. 2024 · We propose an approach to construct Bernoulli trials {X i, i ≥ 1} combining dependence and independence periods, and we call it the Bernoulli sequence with random dependence (BSRD).The structure of dependence, in the past S i = X 1 + ⋯ + X i, defines a class of non-Markovian random walks of recent interest in the literature.In this paper, the …
The elephant random walk with gradually increasing memory
Webb30 okt. 2024 · We study random walks on complex networks with transition probabilities which depend on the current and previously visited nodes. By using an absorbing Markov … Webb23 apr. 2024 · The simple random walk process is a minor modification of the Bernoulli trials process. Nonetheless, the process has a number of very interesting properties, and … john anthony joseph bushroe saginaw michigan
Random walk with memory enhancement and decay - PubMed
Webb1 juli 2024 · In this work we propose a model of a random walk that evolves in time according to past memories selected from rectangular (flat) and exponentially decaying … Webb11 juni 2024 · The elephant random walk (ERW) is a microscopic, one-dimensional, discrete-time, non-Markovian random walk, which can lead to anomalous diffusion due … Webb11 juni 2024 · The elephant random walk (ERW) is a microscopic, one-dimensional, discrete-time, non-Markovian random walk, which can lead to anomalous diffusion due to memory effects. In this study, I propose a multi-dimensional generalization in which the probability of taking a step in a certain direction depends on the previous steps in other … john anthony hubschmitt