The longtime behavior of branching random walk in a catalytic medium.
Greven, A., Klenke, A., Wakolbinger, A. (1999)
Electronic Journal of Probability [electronic only]
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Displaying similar documents to “Central limit theorem for a class of linear systems.”
The longtime behavior of branching random walk in a catalytic medium.
The scaling limit of senile reinforced random walk.
Holmes, Mark P. (2009)
Electronic Communications in Probability [electronic only]
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Intermittency on catalysts: symmetric exclusion.
Gärtner, Jürgen, den Hollander, Frank, Maillard, Gregory (2007)
Electronic Journal of Probability [electronic only]
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Non-perturbative approach to random walk in Markovian environment.
Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
Electronic Communications in Probability [electronic only]
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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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On the domination of a random walk on a discrete cylinder by random interlacements.
Sznitman, Alain-Sol (2009)
Electronic Journal of Probability [electronic only]
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Renormalizations of branching random walks in equilibrium.
Zähle, Iljana (2002)
Electronic Journal of Probability [electronic only]
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The quenched invariance principle for random walks in random environments admitting a bounded cycle representation
Jean-Dominique Deuschel, Holger Kösters (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We derive a quenched invariance principle for random walks in random environments whose transition probabilities are defined in terms of weighted cycles of bounded length. To this end, we adapt the proof for random walks among random conductances by Sidoravicius and Sznitman ( (2004) 219–244) to the non-reversible setting.
A note on limiting behaviour of disastrous environment exponents.
Mountford, Thomas S. (2001)
Electronic Journal of Probability [electronic only]
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A functional limit theorem for a 2D-random walk with dependent marginals.
Guillotin-Plantard, Nadine, Le Ny, Arnaud (2008)
Electronic Communications in Probability [electronic only]
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Central limit theorem for the excited random walk in dimension .
Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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Discrete random processes with memory: Models and applications
Tomáš Kouřim, Petr Volf (2020)
Applications of Mathematics
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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...