Results 11 to 20 of about 702,219 (333)
Random walk on random walks: low densities [PDF]
The Annals of Applied Probability, 2017 We consider a random walker in a dynamic random environment given by a system of independent simple symmetric random walks. We obtain ballisticity results under two types of perturbations: low particle density, and strong local drift on particles ...
Blondel, Oriane +4 more
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Random walk on the range of random walk [PDF]
Journal of Statistical Physics, 2009 We study the random walk X on the range of a simple random walk on ℤ d in dimensions d≥4. When d≥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 ...
A. Masi De +28 more
core +6 more sources
A multifractal random walk [PDF]
Physical Review E, 2000 We introduce a class of multifractal processes, referred to as Multifractal Random Walks (MRWs). To our knowledge, it is the first multifractal processes with continuous dilation invariance properties and stationary increments.
A. Arneodo +19 more
core +7 more sources
Journal of Applied Probability, 2013 This paper provides tools for the study of the Dirichlet random walk in Rd. We compute explicitly, for a number of cases, the distribution of the random variable W using a form of Stieltjes transform of W instead of the Laplace transform, replacing the Bessel functions with hypergeometric functions. This enables us to simplify some existing results, in
Gérard Letac, Mauro Piccioni
openalex +7 more sources
Random walk on random walks: higher dimensions [PDF]
Electronic Journal of Probability, 2019 We study the evolution of a random walker on a conservative dynamic random environment composed of independent particles performing simple symmetric random walks, generalizing results of [16] to higher dimensions and more general transition kernels without the assumption of uniform ellipticity or nearest-neighbour jumps.
Blondel, Oriane +4 more
openaire +7 more sources
Electronic Journal of Probability, 2022 Recently, in ["The coin-turning walk and its scaling limit", Electronic Journal of Probability, 25 (2020)], the ``coin-turning walk'' was introduced on ${\mathbb Z}$. It is a non-Markovian process where the steps form a (possibly) time-inhomogeneous Markov chain.
Engländer, János, Volkov, Stanislav
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A Semi-Deterministic Random Walk with Resetting
Entropy, 2021 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
doaj +1 more source
A phase transition in the random transposition random walk [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 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
doaj +1 more source
Combinatorics, Probability and Computing, 2013 We study a discrete time self-interacting random process on graphs, which we call greedy random walk. The walker is located initially at some vertex. As time evolves, each vertex maintains the set of adjacent edges touching it that have not yet been crossed by the walker.
Orenshtein T., Shinkar I.
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Random Infinite Permutations and the Cyclic Time Random Walk [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 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
doaj +1 more source