Results 11 to 20 of about 251,555 (277)

Self-Interacting Random Walks: Aging, Exploration, and First-Passage Times

open access: yesPhysical Review X, 2022
Self-interacting random walks are endowed with long-range memory effects that emerge from the interaction of the random walker at time t with the territory that it has visited at earlier times t^{′}
A. Barbier-Chebbah   +2 more
doaj   +2 more sources

Some recent advances in random walks and random environments* [PDF]

open access: yesESAIM: 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
doaj   +1 more source

Non Unitary Random Walks [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
Motivated by the recent refutation of information loss paradox in black hole by Hawking, we investigate the new concept of {\it non unitary random walks}.
Philippe Jacquet
doaj   +1 more source

Random walks in random sceneries and related models* [PDF]

open access: yesESAIM: Proceedings and Surveys, 2020
We present random walks in random sceneries as well as three related models: U-statistics indexed by random walks, a model of stratified media with inhomogeneous layers (random one-way streets) and the one-dimensional Lévy-Lorentz gas (random roundabouts
Pène Françoise
doaj   +1 more source

Non Uniform Random Walks [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2003
Given $\epsilon _i ∈ [0,1)$ for each $1 < i < n$, a particle performs the following random walk on $\{1,2,...,n\:\}$par If the particle is at $n$, it chooses a point uniformly at random (u.a.r.) from $\{1,...,n-1\}$.
Nisheeth Vishnoi
doaj   +1 more source

Random walks with sticky barriers

open access: yesModern Stochastics: Theory and Applications, 2022
A new class of multidimensional locally perturbed random walks called random walks with sticky barriers is introduced and analyzed. The laws of large numbers and functional limit theorems are proved for hitting times of successive barriers.
Vladyslav Bohun, Alexander Marynych
doaj   +1 more source

Random walk on random walks: higher dimensions [PDF]

open access: yesElectronic 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

Quantum walks on random lattices: Diffusion, localization, and the absence of parametric quantum speedup

open access: yesPhysical Review Research, 2023
Discrete-time quantum walks, quantum generalizations of classical random walks, provide a framework for quantum information processing, quantum algorithms, and quantum simulation of condensed-matter systems.
Rostislav Duda   +4 more
doaj   +1 more source

Multifractal random walk [PDF]

open access: yesPhysical Review E, 2001
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. MRWs are very attractive alternative processes to classical cascade-like multifractal models since they do not involve any ...
Bacry, Emmanuel, Delour, J., Muzy, J. F.
openaire   +4 more sources

Conservative random walk

open access: yesElectronic 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
openaire   +3 more sources

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