Results 41 to 50 of about 5,123,051 (393)
Random Walk With Restart on Multiplex and Heterogeneous Biological Networks
bioRxiv, 2017 Recent years have witnessed an exponential growth in the number of identified interactions between biological molecules. These interactions are usually represented as large and complex networks, calling for the development of appropriated tools to ...
Alberto Valdeolivas +8 more
semanticscholar +1 more source
A strong invariance principle for the elephant random walk [PDF]
, 2017 We consider a non-Markovian discrete-time random walk on Z with unbounded memory, called the elephant random walk (ERW). We prove a strong invariance principle for the ERW.
Cristian F. Coletti, R. Gava, G. Schütz
semanticscholar +1 more source
Critical dimensions for random walks on random-walk chains [PDF]
Physical Review E, 1996 The probability distribution of random walks on linear structures generated by random walks in $d$-dimensional space, $P_d(r,t)$, is analytically studied for the case $ \equiv r/t^{1/4}\ll1$. It is shown to obey the scaling form $P_d(r,t)= (r) t^{-1/2} ^{-2} f_d( )$, where $ (r)\sim r^{2-d}$ is the density of the chain.
Rabinovich S. +3 more
openaire +4 more sources
Non-backtracking random walk [PDF]
, 2012 We consider non-backtracking random walk (NBW) in the nearest-neighbor setting on the Zd-lattice and on tori. We evaluate the eigensystem of the m X m-dimensional transition matrix of NBW where m denote the degree of the graph.
Fitzner, Robert, van der Hofstad, Remco
core +2 more sources
Adjusting the Trapping Process of a Directed Weighted Edge-Iteration Network
Frontiers in Physics, 2022 Controlling the trapping process is one of the important themes in the study of random walk in real complex systems. We studied two types of random walks that are different from the traditional random walk on a directed weighted network.
Jing Su +7 more
doaj +1 more source
Strategies and first-absorption times in the random walk game [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 Purpose of this work is to determine the average time to reach the boundaries, as well as to identify the strategy in the game between two players, controlling point movements on the finite square lattice using an independent choice of strategies.
Krivonosov, Mikhail Igorevich +1 more
doaj +1 more source
Central limit theorem and related results for the elephant random walk [PDF]
, 2016 We study the so-called elephant random walk (ERW) which is a non-Markovian discrete-time random walk on ℤ with unbounded memory which exhibits a phase transition from a diffusive to superdiffusive behavior.
Cristian F. Coletti, R. Gava, G. Schutz
semanticscholar +1 more source
Random walk polynomials and random walk measures
Journal of Computational and Applied Mathematics, 1993 AbstractRandom walk polynomials and random walk measures play a prominent role in the analysis of a class of Markov chains called random walks. Without any reference to random walks, however, a random walk polynomial sequence can be defined (and will be defined in this paper) as a polynomial sequence{Pn(x)} which is orthogonal with respect to a measure
Pauline Schrijner, Erik A. van Doorn
openaire +3 more sources
Random walks with random velocities [PDF]
Physical Review E, 2008 We consider a random walk model that takes into account the velocity distribution of random walkers. Random motion with alternating velocities is inherent to various physical and biological systems. Moreover, the velocity distribution is often the first characteristic that is experimentally accessible. Here, we derive transport equations describing the
Zaburdaev, Vasily +2 more
openaire +3 more sources
Random walk over a hypersphere
International Journal of Mathematics and Mathematical Sciences, 1985 In a recent paper the author had shown that a special case of S. M. Joshi transform (so named after the author's reverent father) of distributions (Sba f)(x)=〈f(y), lFl(a0;b0;ixy) lFl(a;b;−2ixy)〉 is a characteristic function of a spherical ...
J. M. C. Joshi
doaj +1 more source