Results 11 to 20 of about 805,438 (303)
Ballistic random walks in random environment as rough paths: convergence and area anomaly [PDF]
, 2021 Annealed functional CLT in the rough path topology is proved for the standard class of ballistic random walks in random environment. Moreover, the ‘area anomaly’, i.e.
Lopusanschi, Olga, Orenshtein, Tal
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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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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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Branching Random Walks in Random Environment [PDF]
, 2021 We consider branching particle processes on discrete structures like the hypercube in a random fitness landscape (i.e. random branching/killing rates). The main question is about the location where the main part of the population sits at a late time, if ...
Wolfgang König, König, Wolfgang
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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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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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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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Random walks in random hypergeometric environment [PDF]
, 2020 We consider one-dependent random walks on Zd in random hypergeometric environment for d≥3. These are memory-one walks in a large class of environments parameterized by positive weights on directed edges and on pairs of directed edges which includes the ...
Sabot, Christophe, Orenshtein, Tal
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Random Walks in Random Environment [PDF]
Journal of Physics A: Mathematical and General, 2006 Random walks in random environments (RWRE's) have been a source of surprising phenomena and challenging problems since they began to be studied in the 70's. Hitting times and, more recently, certain regeneration structures, have played a major role in our understanding of RWRE's. We review these and provide some hints on current research directions and
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