Open Access
2008 A note on the ballistic limit of random motion in a random potential
Markus Flury
Author Affiliations +
Electron. Commun. Probab. 13: 393-400 (2008). DOI: 10.1214/ECP.v13-1394


It has been shown that certain types of random walks in random potentials and Brownian motion in Poissonian potentials undergo a phase transition from sub-ballistic to ballistic behavior when the strength of the underlying drift is increased. The ballistic behavior has been manifested by indicating a limiting area for the normalized motion. In the present article, we provide a refined description of this limiting area with a further development for the case of rotation invariant Poissonian potentials.


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Markus Flury. "A note on the ballistic limit of random motion in a random potential." Electron. Commun. Probab. 13 393 - 400, 2008.


Accepted: 27 June 2008; Published: 2008
First available in Project Euclid: 6 June 2016

zbMATH: 1187.60091
MathSciNet: MR2415146
Digital Object Identifier: 10.1214/ECP.v13-1394

Primary: 60K35

Keywords: ballistic limit , ballistic phase , Brownian motion , Poissonian potential , Random potential , Random walk , RWRP

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