# Upper tail asymptotics for the intersection local times of random walks in high dimensions

Peter Mörters^{[1]}

- [1] University of Bath

Actes des rencontres du CIRM (2010)

- Volume: 2, Issue: 1, page 27-29
- ISSN: 2105-0597

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topMörters, Peter. "Upper tail asymptotics for the intersection local times of random walks in high dimensions." Actes des rencontres du CIRM 2.1 (2010): 27-29. <http://eudml.org/doc/115846>.

@article{Mörters2010,

abstract = {In high dimensions two independent simple random walks have only a finite number of intersections. I describe the main result obtained in a joint paper with Xia Chen in which we determine the exact upper tail behaviour of the intersection local time.},

affiliation = {University of Bath},

author = {Mörters, Peter},

journal = {Actes des rencontres du CIRM},

language = {eng},

month = {12},

number = {1},

pages = {27-29},

publisher = {CIRM},

title = {Upper tail asymptotics for the intersection local times of random walks in high dimensions},

url = {http://eudml.org/doc/115846},

volume = {2},

year = {2010},

}

TY - JOUR

AU - Mörters, Peter

TI - Upper tail asymptotics for the intersection local times of random walks in high dimensions

JO - Actes des rencontres du CIRM

DA - 2010/12//

PB - CIRM

VL - 2

IS - 1

SP - 27

EP - 29

AB - In high dimensions two independent simple random walks have only a finite number of intersections. I describe the main result obtained in a joint paper with Xia Chen in which we determine the exact upper tail behaviour of the intersection local time.

LA - eng

UR - http://eudml.org/doc/115846

ER -

## References

top- X. Chen and P. Mörters. Upper tails for intersection local times of random walks in supercritial dimensions. Journal of the London Mathematical Society, 79 (2009) 186-210. Zbl1170.60019MR2472140
- A. Dvoretzky and P. Erdős. Some problems on random walk in space. In: Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950. University of California Press, Berkeley and Los Angeles, pp. 353–367, 1951. Zbl0044.14001MR47272
- K.M. Khanin, A.E. Mazel, S.B. Shlosman and Ya.G. Sinai. Loop condensation effects in the behavior of random walks. In: Markov processes and applications, Birkhäuser, pp. 167–184, 1994. Zbl0814.60063MR1311718
- W. König and P. Mörters. Brownian intersection local times: Upper tail asymptotics and thick points. Annals of Probability, 30 (2002) 1605-1656. Zbl1032.60073MR1944002

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