English

Joint asymptotic behavior of local and occupation times

Probability 2016-08-16 v1

Abstract

Considering a simple symmetric random walk in dimension d3d\geq 3, we study the almost sure joint asymptotic behavior of two objects: first the local times of a pair of neighboring points, then the local time of a point and the occupation time of the surface of the unit ball around it.

Cite

@article{arxiv.math/0511049,
  title  = {Joint asymptotic behavior of local and occupation times},
  author = {Endre Csáki and Antónia Földes and Pál Révész},
  journal= {arXiv preprint arXiv:math/0511049},
  year   = {2016}
}

Comments

28 pages, 2 figures