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math.PR2018
Boundary of the Range of a random walk and the Fölner property
George Deligiannidis, Sebastien Gouezel, Zemer Kosloff
The range process of a random walk is the collection of sites visited by the random walk up to time . In this work we deal with the question of whether the range process o…
math.PR2015★ 1 cited
Optimal bounds for self-intersection local times
George Deligiannidis, Sergey Utev
For a random walk in , let be its local time at the site . Define the -fold self intersection local time $L_n(α) := \sum…
math.PR2015
Relative Complexity of Random Walks in Random Scenery in the absence of a weak invariance principle for the local times
George Deligiannidis, Zemer Kosloff
We answer the question of Aaronson about the relative complexity of Random Walks in Random Sceneries driven by either aperiodic two dimensional random walks, two-dimensional Simple…