Central Limit Theorem For The Excited Random Walk In Dimension $d\geq 2$

Type: Article

Publication Date: 2007-01-01

Citations: 37

DOI: https://doi.org/10.1214/ecp.v12-1317

Abstract

We prove that a law of large numbers and a central limit theorem hold for the excited random walk model in every dimension d ≥ 2.

Locations

  • Electronic Communications in Probability - View - PDF

Similar Works

Action Title Year Authors
+ Central Limit Theorem for the Excited Random Walk in dimension $d \geq 2$ 2007 Jean Bérard
Alejandro F. Ramı́rez
+ Monotonicity for excited random walk in high dimensions 2008 Remco van der Hofstad
Mark Holmes
+ PDF Chat Excited Random Walk 2003 Itaı Benjamini
David Wilson
+ PDF Chat Monotonicity for excited random walk in high dimensions 2009 Remco van der Hofstad
Mark Holmes
+ Balanced Excited Random Walk in Two Dimensions 2021 Omer Angel
Mark Holmes
Alejandro F. Ramı́rez
+ Excited random walks: results, methods, open problems. 2013 Elena Kosygina
Martin Zerner
+ PDF Chat Large deviations and slowdown asymptotics for one-dimensional excited random walks 2012 Jonathon Peterson
+ Limit Theorems for Generalized Excited Random Walks in time-inhomogeneous Bernoulli environment 2023 Rodrigo B. Alves
Giulio Iacobelli
Glauco Valle
+ PDF Chat Monotonicity and regularity of the speed for excited random walks in higher dimensions 2015 Cong Dan Pham
+ PDF Chat Balanced excited random walk in two dimensions 2023 Omer Angel
Mark Holmes
Alejandro F. Ramı́rez
+ Large deviations and slowdown asymptotics for one-dimensional excited random walks 2012 Jonathon Peterson
+ Excited random walks: results, methods, open problems 2012 Elena Kosygina
Martin Zerner
+ PDF Chat An Overview of the Balanced Excited Random Walk 2020 Daniel Camarena
Gonzalo Panizo
Alejandro F. Ramı́rez
+ Excited Random Walk in One Dimension 2005 Tibor Antal
Sidney Redner
+ A note on transience of generalized many-dimensional excited random walks 2022 Rodrigo B. Alves
Giulio Iacobelli
Glauco Valle
+ Large deviations and slowdown asymptotics for one-dimensional excited random walks 2012 Jonathon Peterson
+ Topics in self-interacting random walks 2012 Reza Rastegar
+ PDF Chat Excited random walk against a wall 2007 Gideon Amir
Itaı Benjamini
Gady Kozma
+ PDF Chat The excited random walk in one dimension 2005 Tibor Antal
S. Redner
+ Excited random walk against a wall 2005 Gideon Amir
Itaı Benjamini
Gady Kozma