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Random Walks with Invariant Loop Probabilities: Stereographic Random Walks [PDF]
Entropy, 2021 Random walks with invariant loop probabilities comprise a wide family of Markov processes with site-dependent, one-step transition probabilities. The whole family, which includes the simple random walk, emerges from geometric considerations related to ...
Miquel Montero
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Random walk on random walks: low densities [PDF]
The Annals of Applied Probability, 2020 International audienceWe 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 ...
Hilário, Marcelo R. +8 more
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Universal exploration dynamics of random walks [PDF]
Nature Communications, 2023 Random walks are usually characterized by the spatial territory they cover, described by the number of sites visited at a given time. Here the authors propose an approach that accounts the time between visits to distinct sites, for improved analysis of ...
Léo Régnier +3 more
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Random Walks and Lorentz Processes [PDF]
EntropyRandom walks and Lorentz processes serve as fundamental models for Brownian motion. The study of random walks is a favorite object of probability theory, whereas that of Lorentz processes belongs to the theory of hyperbolic dynamical systems.
Domokos Szász
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Return Probability of Quantum and Correlated Random Walks [PDF]
Entropy, 2022 The analysis of the return probability is one of the most essential and fundamental topics in the study of classical random walks. In this paper, we study the return probability of quantum and correlated random walks in the one-dimensional integer ...
Chusei Kiumi, Norio Konno, Shunya Tamura
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Recapitulating human ovarian aging using random walks [PDF]
PeerJ, 2022 Mechanism(s) that control whether individual human primordial ovarian follicles (PFs) remain dormant, or begin to grow, are all but unknown. One of our groups has recently shown that activation of the Integrated Stress Response (ISR) pathway can slow ...
Joshua Johnson +2 more
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Congestion Transition on Random Walks on Graphs [PDF]
EntropyThe formation of congestion on an urban road network is a key issue for the development of sustainable mobility in future smart cities. In this work, we propose a reductionist approach by studying the stationary states of a simple transport model using a
Lorenzo Di Meco +3 more
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Random walks, spectral radii, and Ramanujan graphs
, 2004 We investigate properties of random walks on trees with finitely many cone types and apply our results to get estimates on spectral radii of groups and to check whether a given finite graph is Ramanujan.
Nagnibeda, Tatiana,
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Non-homogeneous random walks with non-integrable increments and heavy-tailed random walks on strips [PDF]
, 2012 We study asymptotic properties of spatially non-homogeneous random walks with non-integrable increments, including transience, almost-sure bounds, and existence and non existence of moments for first-passage and last-exit times.
MacPhee, Iain M. +9 more
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Some recent advances in random walks and random environments* [PDF]
ESAIM: Proceedings and Surveys, 2023 Recent contributions to random walks in random environments and related topics are presented. We focus on non parametric estimation for one dimensional random walks in random environment and on the Dirichlet distribution on decomposable graphs.
Devulder Alexis +2 more
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