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Non Unitary Random Walks [PDF]
Discrete 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
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Diffusivity of a random walk on random walks [PDF]
Random Structures & Algorithms, 2014 We consider a random walk $(Z^{(1)}_n, ..., Z^{(K+1)}_n) \in \mathbb{Z}^{K+1}$ with the constraint that each coordinate of the walk is at distance one from the following one. In this paper, we show that this random walk is slowed down by a variance factor $σ_K^2 = \frac{2}{K+2}$ with respect to the case of the classical simple random walk without ...
Boissard, Emmanuel +3 more
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Non Uniform Random Walks [PDF]
Discrete 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
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Random walks with sticky barriers
Modern 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
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Physical 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
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Current Trends in Random Walks on Random Lattices
Mathematics, 2021 In a classical random walk model, a walker moves through a deterministic d-dimensional integer lattice in one step at a time, without drifting in any direction.
Jewgeni H. Dshalalow, Ryan T. White
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Random walk on random walks: higher dimensions [PDF]
Electronic Journal of Probability, 2019 Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Blondel, Oriane +4 more
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Osculating Random Walks on Cylinders [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 We consider random paths on a square lattice which take a left or a right turn at every vertex. The possible turns are taken with equal probability, except at a vertex which has been visited before.
Saibal Mitra, Bernard Nienhuis
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Multifractal random walk [PDF]
Physical 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.
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Random walks with barriers [PDF]
Nature Physics, 2011 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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