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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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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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Electronic Journal of Probability, 2020 This paper introduces the Attracting Random Walks model, which describes the dynamics of a system of particles on a graph with $n$ vertices. At each step, a single particle moves to an adjacent vertex (or stays at the current one) with probability ...
Gaudio, Julia, Polyanskiy, Yury
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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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Random Walks in Random Environments [PDF]
, 2006 Random walks provide a simple conventional model to describe various transport processes, for example propagation of heat or diffusion of matter through a medium. However, in many practical cases the medium is highly irregular due to defects, impurities,
Alexander +20 more
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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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Record ages of non-Markovian scale-invariant random walks [PDF]
Nature Communications, 2023 How long is needed for an observable to exceed its previous highest value and establish a new record? This time, known as the age of a record plays a crucial role in quantifying record statistics.
Léo Régnier +2 more
doaj +2 more sources
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 walk on random walks: Low densities [PDF]
The Annals of Applied Probability, 2020 28 ...
Blondel, Oriane +4 more
openaire +7 more sources