Positively and negatively excited random walks on integers, with branching processes.
Kosygina, Elena, Zerner, Martin P.W. (2008)
Electronic Journal of Probability [electronic only]
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Displaying similar documents to “Random walks on finite groups and rapidly mixing Markov chains”
Positively and negatively excited random walks on integers, with branching processes.
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A linear programming approach to error bounds for random walks in the quarter-plane
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We consider the steady-state behavior of random walks in the quarter-plane, in particular, the expected value of performance measures that are component-wise linear over the state space. Since the stationary distribution of a random walk is in general not readily available we establish upper and lower bounds on performance in terms of another random walk with perturbed transition probabilities, for which the stationary distribution is a geometric product-form. The Markov reward approach...
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The contribution focuses on Bernoulli-like random walks, where the past events significantly affect the walk's future development. The main concern of the paper is therefore the formulation of models describing the dependence of transition probabilities on the process history. Such an impact can be incorporated explicitly and transition probabilities modulated using a few parameters reflecting the current state of the walk as well as the information about the past path. The behavior...
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Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
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Berestycki, Nathanael, Durrett, Rick (2008)
Electronic Journal of Probability [electronic only]
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Quermass-interaction process with convex compact grains
Kateřina Helisová, Jakub Staněk (2016)
Applications of Mathematics
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The paper concerns an extension of random disc Quermass-interaction process, i.e. the model of discs with mutual interactions, to the process of interacting objects of more general shapes. Based on the results for the random disc process and the process with polygonal grains, theoretical results for the generalized process are derived. Further, a simulation method, its advantages and the corresponding complications are described, and some examples are introduced. Finally, a short comparison...
Functional CLT for random walk among bounded random conductances.
Biskup, Marek, Prescott, Timothy M. (2007)
Electronic Journal of Probability [electronic only]
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