Results 1 to 10 of about 2,908,473 (291)
Percolation in 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 ...
A. Hansen +30 more
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Random Graphs' Robustness in Random Environment
Austrian Journal of Statistics, 2017 We consider configuration graphs the vertex degrees of which are independent and follow the power-law distribution. Random graphs dynamics takes place in a random environment with the parameter of vertex degree distribution following uniform ...
Marina Leri, Yury Pavlov
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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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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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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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Random Walks in Degenerate Random Environments [PDF]
Canadian Journal of Mathematics, 2014 AbstractWe study the asymptotic behaviour of random walks in i.i.d. random environments on . The environments need not be elliptic, so some steps may not be available to the random walker. We prove a monotonicity result for the velocity (when it exists) for any 2-valued environment, and show that this does not hold for 3-valued environments without ...
Holmes, Mark, Salisbury, Thomas S.
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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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