Results 31 to 40 of about 251,555 (277)
Quantum walks with random phase shifts [PDF]
, 2006 We investigate quantum walks in multiple dimensions with different quantum coins. We augment the model by assuming that at each step the amplitudes of the coin state are multiplied by random phases.
A. M. Childs +4 more
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Deterministic Random Walks on the Integers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 We analyze the one-dimensional version of Jim Propp's $P$-machine, a simple deterministic process that simulates a random walk on $\mathbb{Z}$. The "output'' of the machine is astonishingly close to the expected behavior of a random walk, even on long ...
Joshua Cooper +3 more
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On random walks in random scenery [PDF]
, 2006 This paper considers 1-dimensional generalized random walks in random scenery. That is, the steps of the walk are generated by an arbitrary stationary process, and also the scenery is a priori arbitrary stationary. Under an ergodicity condition--which is
Dekking, F. M., Liardet, P.
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Some topics in random walks [PDF]
ESAIM: Proceedings and SurveysWe collect a few recent results on random walks, which are ubiquitous in probability theory. The topics covered are: persistence problems for stochastic processes, large fluctuations in multi-scale modeling for rest hematopoiesis, and fine properties of ...
Berger Quentin +3 more
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Stochastic Processes and their Applications, 2016 Consider a one dimensional simple random walk $X=(X_n)_{n\geq0}$. We form a new simple symmetric random walk $Y=(Y_n)_{n\geq0}$ by taking sums of products of the increments of $X$ and study the two-dimensional walk $(X,Y)=((X_n,Y_n))_{n\geq0}$. We show that it is recurrent and when suitably normalised converges to a two-dimensional Brownian motion with
Andrea Collevecchio +2 more
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Physical Review E, 2015 Enzymes that rely on random walk to search for substrate targets in a heterogeneously dispersed medium can leave behind complex spatial profiles of their catalyzed conversions. The catalytic signatures of these random-walk enzymes are the result of two coupled stochastic processes: scanning and catalysis. Here we develop analytical models to understand
Chi H, Mak +3 more
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Journal of The Royal Society Interface, 2018 In empirical studies, trajectories of animals or individuals are sampled in space and time. Yet, it is unclear how sampling procedures bias the recorded data. Here, we consider the important case of movements that consist of alternating rests and moves of random durations and study how the estimate of their statistical properties is affected by the way
Gallotti, Riccardo +3 more
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The Annals of Probability, 1984 We consider random walks on lattices with finite memory and a finite number of possible steps. Using a local limit theorem, we generalize Polya's theorem to such walks, describe how to compute tail probabilities when the number of steps is large, and obtain asymptotic estimates for the average number of points visited.
Bender, Edward A., Richmond, L. Bruce
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Intransitiveness: From Games to Random Walks
Future Internet, 2020 Many games in which chance plays a role can be simulated as a random walk over a graph of possible configurations of board pieces, cards, dice or coins. The end of the game generally consists of the appearance of a predefined winning pattern; for random ...
Alberto Baldi, Franco Bagnoli
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Ranking competitors using degree-neutralized random walks. [PDF]
PLoS ONE, 2014 Competition is ubiquitous in many complex biological, social, and technological systems, playing an integral role in the evolutionary dynamics of the systems.
Seungkyu Shin +2 more
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