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Random walks in a sparse random environment [PDF]
Electronic Journal of Probability, 2016 We introduce random walks in a sparse random environment on $\mathbb Z$ and investigate basic asymptotic properties of this model, such as recurrence-transience, asymptotic speed, and limit theorems in both the transient and recurrent regimes. The new model combines features of several existing models of random motion in random media and admits a ...
Matzavinos, Anastasios +2 more
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Random walks in a moderately sparse random environment. [PDF]
Electron J Probab, 2019 A random walk in a sparse random environment is a model introduced by Matzavinos et al. [Electron. J. Probab. 21, paper no. 72: 2016] as a generalization of both a simple symmetric random walk and a classical random walk in a random environment. A random walk ( X n ) n ∈ ℕ ∪ { 0 } in a sparse random environment ( S k , λ k ) k ∈ ℤ is a ...
Buraczewski D +4 more
europepmc +4 more sources
Perfect matchings in inhomogeneous random bipartite graphs in random environment [PDF]
Cubo, 2022 In this note we study inhomogeneous random bipartite graphs in random environment. These graphs can be thought of as an extension of the classical Erd\H os-R\'enyi random bipartite graphs in a random environment.
Jairo Bochi +2 more
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Random Walks in a Random Environment
Annals of Probability, 1975 Let $\{\alpha_n\}$ be a sequence of independent, identically distributed random variables with $0 \leqq \alpha_n \leqq 1$ for all $n$. The random walk in a random environment on the integers is the sequence $\{X_n\}$ where $X_0 = 0$ and inductively $X_{n+1} = X_n + 1, (X_n - 1)$, with probability $\alpha_{X_n}, (1 - \alpha_{X_n})$.
exaly +4 more sources
Random walks in random environment with Markov dependence on time [PDF]
Condensed Matter Physics, 2008 We consider a simple model of discrete-time random walk on Ζν, ν=1,2,... in a random environment independent in space and with Markov evolution in time. We focus on the application of methods based on the properties of the transfer matrix and on spectral
C.Boldrighini +2 more
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Generalized Random Walk in a Random Environment
Annals of Probability, 1981 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +4 more sources
Numerical Simulations of Random Walk in Random Environment [PDF]
Journal of Statistical Physics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
von Dohlen, Brian, Conlon, Joseph G.
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Localization for branching random walks in random environment [PDF]
Stochastic Processes and their Applications, 2009 17 ...
Hu, Yueyun, Yoshida, Nobuo
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Branching random walk in random environment on trees [PDF]
Stochastic Processes and their Applications, 2003 The authors consider a supercritical branching random walk on a rooted tree with random environment, the special attention being paid to the case where both the branching and the step transition parameters are random quantities. For this model criteria of recurrence (strong recurrence) and transience (strong transience) are presented.
Machado, F.P., Popov, S.Yu.
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Resource System with Losses in a Random Environment
Mathematics, 2021 The article deals with queueing systems with random resource requirements modeled as bivariate Markov jump processes. One of the process components describes the service system with limited resources.
Valeriy Naumov, Konstantin Samouylov
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