Recurrence and transience of excited random walks on and strips.
Zerner, Martin P.W. (2006)
Electronic Communications in Probability [electronic only]
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Displaying similar documents to “Convergence results and sharp estimates for the voter model interfaces.”
Recurrence and transience of excited random walks on and strips.
The growth exponent for planar loop-erased random walk.
Masson, Robert (2009)
Electronic Journal of Probability [electronic only]
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Recurrence of reinforced random walk on a ladder.
Sellke, Thomas (2006)
Electronic Journal of Probability [electronic only]
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Upper tail asymptotics for the intersection local times of random walks in high dimensions
Peter Mörters (2010)
Actes des rencontres du CIRM
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In high dimensions two independent simple random walks have only a finite number of intersections. I describe the main result obtained in a joint paper with Xia Chen in which we determine the exact upper tail behaviour of the intersection local time.
Recurrence and transience for long-range reversible random walks on a random point process.
Caputo, Pietro, Faggionato, Alessandra, Gaudilliere, Alexandre (2009)
Electronic Journal of Probability [electronic only]
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Hydrodynamic limit of zero range processes among random conductances on the supercritical percolation cluster.
Faggionato, Alessandra (2010)
Electronic Journal of Probability [electronic only]
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Sharp asymptotic behavior for wetting models in -dimension.
Caravenna, Francesco, Giacomin, Giambattista, Zambotti, Lorenzo (2006)
Electronic Journal of Probability [electronic only]
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A note on the diffusive scaling limit for a class of linear systems.
Nagahata, Yukio, Yoshida, Nobuo (2010)
Electronic Communications in Probability [electronic only]
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Upper tails of self-intersection local times of random walks: survey of proof techniques
Wolfgang König (2010)
Actes des rencontres du CIRM
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The asymptotics of the probability that the self-intersection local time of a random walk on exceeds its expectation by a large amount is a fascinating subject because of its relation to some models from Statistical Mechanics, to large-deviation theory and variational analysis and because of the variety of the effects that can be observed. However, the proof of the upper bound is notoriously difficult and requires various sophisticated techniques. We survey some heuristics and some...
Monte Carlo Random Walk Simulations Based on Distributed Order Differential Equations with Applications to Cell Biology
Andries, Erik, Umarov, Sabir, Steinberg, Stanly (2006)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 65C05, 60G50, 39A10, 92C37 In this paper the multi-dimensional Monte-Carlo random walk simulation models governed by distributed fractional order differential equations (DODEs) and multi-term fractional order differential equations are constructed. The construction is based on the discretization leading to a generalized difference scheme (containing a finite number of terms in the time step and infinite number of terms in the space step)...