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Central limit theorem for the excited random walk in dimension d >= 2
(UNIV WASHINGTON, DEPT MATHEMATICS, 2007)
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.
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, ...
On recurrence and transience of self-interacting random walks
(SpringerNew YorkEUA, 2013)
ON A GENERAL MANY-DIMENSIONAL EXCITED RANDOM WALK
(Inst Mathematical StatisticsClevelandEUA, 2012)
On a general many-dimensional excited random walk
(INSTITUTE OF MATHEMATICAL STATISTICS, 2012)
On Range And Local Time Of Many-dimensional Submartingales
(Springer New York LLC, 2014)
On a general many-dimensional excited random walkANNALS OF PROBABILITYANN PROBAB
(INSTITUTE OF MATHEMATICAL STATISTICS, 2016)
Activated Random Walks on Zd*
(Institute of Mathematical Statistics, 2020-10)
Some stochastic systems are particularly interesting as they exhibit critical behavior without fine-tuning of a parameter, a phenomenon called self-organized criticality. In the context of driven-dissipative steady states, ...
When to be discrete: the importance of time formulation in understanding animal movement
(BioMed Central, 2014-09)
Animal movement is essential to our understanding of population dynamics, animal behavior, and the impacts of global change. Coupled with high-resolution biotelemetry data, exciting new inferences about animal movement ...
Aerobic Exercise Combined With Transcranial Direct Current Stimulation Over the Prefrontal Cortex in Parkinson Disease: Effects on Cortical Activity, Gait, and Cognition
(2021-01-01)
Background: Since people with Parkinson disease (PD) rely on limited prefrontal executive resources for the control of gait, interventions targeting the prefrontal cortex (PFC) may help in managing PD-related gait impairments. ...