Keyword

simple random walk

Description: A simple random walk is a stochastic process that moves between positions through successive independent random steps, often on a graph or lattice.

Primary topic: Stochastic processes and statistical mechanics (68%)

Wikidata ID: wiki/Q856741

OpenAlex ID: keywords/simple-random-walk

Invariant Measures for the Zero Range Process

1982 · Enrique Daniel Andjel · The Annals of Probability · 257

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Vacant set of random interlacements and percolation

2010 · Alain-Sol Sznitman · Annals of Mathematics · 250

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Quenched invariance principle for simple random walk on percolation clusters

2006 · Noam Berger, Marek Biskup · Probability Theory and Related Fields · 211

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How to Explore a Fast-Changing World (Cover Time of a Simple Random Walk on Evolving Graphs)

2008 · Chen Avin, Michal Koucký, et al. · Lecture notes in computer science · 191

Internal Diffusion Limited Aggregation

1992 · Gregory F. Lawler, Maury Bramson, et al. · The Annals of Probability · 164

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Numberical Method for Backward Stochastic Differential Equations

2002 · Jin Ma, Philip Protter, et al. · The Annals of Applied Probability · 154

The Lace Expansion for Self-avoiding Walk in Five or More Dimensions

1992 · TAKASHI HARA, GORDON SLADE · Reviews in Mathematical Physics · 128

Non-backtracking Random Walks Mix Faster

2007 · NOGA ALON, ITAI BENJAMINI, et al. · Communications in Contemporary Mathematics · 127

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The shape theorem for the frog model

2002 · O. S. M. Alves, F. P. Machado, et al. · The Annals of Applied Probability · 119

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Simulating a Random Walk with Constant Error

2006 · JOSHUA N. COOPER, JOEL SPENCER · Combinatorics Probability Computing · 111

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Non-backtracking random walks mix faster

2006 · Noga Alon, Itai Benjamini, et al. · 101

Thick points for planar Brownian motion and the Erdős-Taylor conjecture on random walk

2001 · Amir Dembo, Yuval Peres, et al. · Acta Mathematica · 100

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Random subgraphs of finite graphs. II. The lace expansion and the triangle condition

2005 · Christian Borgs, Jennifer T. Chayes, et al. · The Annals of Probability · 92

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Entropic repulsion of the lattice free field

1995 · Erwin Bolthausen, Jean-Dominique Deuschel, et al. · Communications in Mathematical Physics · 86

Ergodic theory on stationary random graphs

2012 · Itai Benjamini, Nicolas Curien · Electronic Journal of Probability · 84

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Harmonic functions on planar and almost planar graphs and manifolds, via circle packings

1996 · Itai Benjamini, Oded Schramm · Inventiones mathematicae · 80

Limiting Point Processes for Rescalings of Coalescing and Annihilating Random Walks on $Z^d$

1981 · Richard Arratia · The Annals of Probability · 80

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On random walks on wreath products

2002 · C. Pittet, L. Saloff-Coste · The Annals of Probability · 78

Spherical functions and harmonic analysis on free groups

1982 · Alessandro Figà-Talamanca, Massimo A Picardello · Journal of Functional Analysis · 78

Non-Gaussian Brownian Diffusion in Dynamically Disordered Thermal Environments

2017 · Neha Tyagi, Binny J. Cherayil · The Journal of Physical Chemistry B · 73

On the mixing time of a simple random walk on the super critical percolation cluster

2003 · Itai Benjamini, Elchanan Mossel · Probability Theory and Related Fields · 73

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Bias Correction in a Small Sample from Big Data

2012 · Jianguo Lu, Dingding Li · IEEE Transactions on Knowledge and Data Engineering · 72

Random walk on the incipient infinite cluster on trees

2006 · Martin T. Barlow, Takashi Kumagai · Illinois Journal of Mathematics · 72

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Phase Transition for the Frog Model

2002 · Oswaldo Alves, Fabio Machado, et al. · Electronic Journal of Probability · 71

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Loop-Erased Random Walk

1999 · Gregory F. Lawler · Birkhäuser Boston eBooks · 66

Works count: 982

Citation count: 8,922