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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
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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
Generalized Random Walk in a Random Environment
Annals of Probability, 1981 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Mathematics, 2021 We consider a queueing inventory with one essential and m optional items for sale. The system evolves in environments that change randomly. There are n environments that appear in a random fashion governed by a Marked Markovian Environment change process.
Jaison Jacob +4 more
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Analysis of Vacation Fluid M/M/1 Queue in Multi-Phase Random Environment
Mathematics, 2023 An M/M/1 fluid queue with various vacations is studied in the context of a multi-phase random environment. When the system is in operation (i = 1, 2, …, n), it behaves according to the M/M/1 fluid queue model.
Sherif I. Ammar +2 more
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Percolation in a random environment [PDF]
Physical Review E, 2002 We consider bond percolation on the square lattice with perfectly correlated random probabilities. According to scaling considerations, mapping to a random walk problem and the results of Monte Carlo simulations the critical behavior of the system with varying degree of disorder is governed by new, random fixed points with anisotropic scaling ...
Juhász, Róbert, Iglói, Ferenc
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Bindweeds or random walks in random environments on multiplexed trees and their asympotics [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 We report on the asymptotic behaviour of a new model of random walk, we term the bindweed model, evolving in a random environment on an infinite multiplexed tree.The term multiplexed means that the model can be viewed as a nearest neighbours random walk ...
Mikhail Menshikov +2 more
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Critical branching processes in a sparse random environment
Modern Stochastics: Theory and Applications, 2023 We introduce a branching process in a sparse random environment as an intermediate model between a Galton–Watson process and a branching process in a random environment.
Dariusz Buraczewski +3 more
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Discrete and Continuous Models and Applied Computational Science, 2023 In the proposed work, we consider a heterogeneous queueing system with a Markov renewal process and an unlimited number of servers. The service time for requests on the servers is a positive random variable with an exponential probability distribution ...
Evgeny P. Polin +2 more
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