Results 11 to 20 of about 1,932,245 (293)
Random Walk on the Range of Random Walk [PDF]
We study the random walk $X$ on the range of a simple random walk on $\mathbb{Z}^d$ in dimensions $d\geq 4$. When $d\geq 5$ we establish quenched and annealed scaling limits for the process $X$, which show that the intersections of the original simple random walk path are essentially unimportant.
Croydon, David A.
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42 pages, 6 ...
Hilário, M.R. +4 more
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Random walk with barycentric self-interaction [PDF]
We study the asymptotic behaviour of a $d$-dimensional self-interacting random walk $X_n$ ($n = 1,2,...$) which is repelled or attracted by the centre of mass $G_n = n^{-1} \sum_{i=1}^n X_i$ of its previous trajectory. The walk's trajectory $(X_1,...,X_n)
Volkov, S. +13 more
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Logarithmic speeds for one-dimensional perturbed random walk in random environment [PDF]
We study the random walk in random environment on Z+ = f0; 1; 2; : : :g, where the environment is subject to a vanishing (random) perturbation. The two particular cases that we consider are: (i) random walk in random environment perturbed from Sinai's ...
Menshikov, M. V., Wade, Andrew R.
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As one of the most polluted U.S. cities, Fairbanks was reclassified as a “serious” nonattainment area by the Environmental Protection Agency (EPA) in 2017 for its fine particulate matter (PM2.5) pollution.
Lexuan Ye, Yungang Wang
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A Semi-Deterministic Random Walk with Resetting
We consider a discrete-time random walk (xt) which, at random times, is reset to the starting position and performs a deterministic motion between them. We show that the quantity Prxt+1=n+1|xt=n,n→∞ determines if the system is averse, neutral or inclined
Javier Villarroel +2 more
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Random walk on random walks: higher dimensions [PDF]
Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Blondel, Oriane +4 more
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Random Infinite Permutations and the Cyclic Time Random Walk [PDF]
The random stirring process is a natural random walk on the set of permutations of the vertex set of a graph. The cyclic time random walk is a self interacting random walk on a graph.
Omer Angel
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A phase transition in the random transposition random walk [PDF]
Our work is motivated by Bourque-Pevzner's simulation study of the effectiveness of the parsimony method in studying genome rearrangement, and leads to a surprising result about the random transposition walk in continuous time on the group of ...
Nathanael Berestycki, Rick Durrett
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Random walks with barriers [PDF]
Restrictions to molecular motion by barriers (membranes) are ubiquitous in porous media, composite materials and biological tissues. A major challenge is to characterize the microstructure of a material or an organism nondestructively using a bulk transport measurement.
Novikov, Dmitry S. +3 more
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