Open Access
2017 Asymptotic direction for random walks in mixing random environments
Enrique Guerra, Alejandro F. Ramírez
Electron. J. Probab. 22: 1-41 (2017). DOI: 10.1214/17-EJP93


We prove that every random walk in a uniformly elliptic random environment satisfying the cone-mixing condition and a non-effective polynomial ballisticity condition with high enough degree has an asymptotic direction.


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Enrique Guerra. Alejandro F. Ramírez. "Asymptotic direction for random walks in mixing random environments." Electron. J. Probab. 22 1 - 41, 2017.


Received: 11 November 2016; Accepted: 11 August 2017; Published: 2017
First available in Project Euclid: 24 October 2017

zbMATH: 06797902
MathSciNet: MR3718720
Digital Object Identifier: 10.1214/17-EJP93

Primary: 60K37 , 82C41 , 82D30

Keywords: ballisticity conditions , cone-mixing , Random walk in random environment

Vol.22 • 2017
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