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Near invariance and local transience for random diffeomorphisms
(TAYLOR & FRANCIS LTD, 2010)
For random diffeomorphisms depending on a parameter, nearly invariant sets are described via an associated deterministic control system. Conditions are provided guaranteeing that the system leaves the support of an invariant ...
Transience in dynamical systems
(CAMBRIDGE UNIVERSITY PRESS, 2013)
Transience in dynamical systems
(CAMBRIDGE UNIV PRESS, 2013)
ON A GENERAL MANY-DIMENSIONAL EXCITED RANDOM WALK
(INST MATHEMATICAL STATISTICS, 2012)
In this paper we study a substantial generalization of the model of excited random walk introduced in [Electron. Commun. Probab. 8 (2003) 86-92] by Benjamini and Wilson. We consider a discrete-time stochastic process (X-n, ...
Transience of conditioned walks on the plane: Encounters and speed of escape
(Project Euclid, 2020-10)
We consider the two-dimensional simple random walk conditioned on never hitting the origin, which is, formally speaking, the Doob’s h-transform of the simple random walk with respect to the potential kernel. We then study ...
On recurrence and transience of self-interacting random walks
(SpringerNew YorkEUA, 2013)
On infection spreading and competition between independent random walks
(Univ Washington, Dept MathematicsSeattleEUA, 2004)
ON A GENERAL MANY-DIMENSIONAL EXCITED RANDOM WALK
(Inst Mathematical StatisticsClevelandEUA, 2012)