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Directivity of Quantum Walk via Its Random Walk Replica
Quantum walks (QWs) exhibit different properties compared with classical random walks (RWs), most notably by linear spreading and localization. In the meantime, random walks that replicate quantum walks, which we refer to as quantum-walk-replicating ...
Tomoki Yamagami +5 more
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Application of random walk to model temperature in 60 African cities for the 20th century [PDF]
The 20th century is marked with climate change led by global warming. So far, many models have been applied to analyze the temperature change. However, a simple but interesting model, a random walk is hardly used in his regard.
Yan Shaomin, Wu Guang
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Random walk on random walks: higher dimensions [PDF]
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
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As one of the most polluted U.S. cities, Fairbanks was reclassified as a “serious” nonattainment area by the Environmental Protection Agency (EPA) in 2017 for its fine particulate matter (PM2.5) pollution.
Lexuan Ye, Yungang Wang
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A Semi-Deterministic Random Walk with Resetting
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
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Multifractal random walk [PDF]
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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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 phase transition in the random transposition random walk [PDF]
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
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Random Infinite Permutations and the Cyclic Time Random Walk [PDF]
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
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A random-walk-based epidemiological model
Random walkers on a two-dimensional square lattice are used to explore the spatio-temporal growth of an epidemic. We have found that a simple random-walk system generates non-trivial dynamics compared with traditional well-mixed models.
Andrew Chu +4 more
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