Large Deviations of the Range of the Planar Random Walk on the Scale of the Mean-Reference-Cited by-同舟云学术

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Large Deviations of the Range of the Planar Random Walk on the Scale of the Mean

Published:2020-09-11 Issue:4 Volume:34 Page:2315-2345
ISSN:0894-9840
Container-title:Journal of Theoretical Probability
language:en
Short-container-title:J Theor Probab

Author:

Liu Jingjia,Vogel Quirin^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Link

https://link.springer.com/content/pdf/10.1007/s10959-020-01039-4.pdf

Reference31 articles.

1. Asselah, A., Schapira, B.: Deviations for the Capacity of the Range of a Random Walk (2018). arxiv preprint arXiv:1807.02325

2. Asselah, A., Schapira, B., Sousi, P.: Capacity of the range of random walk on $${\mathbb{Z}}^4$$. Ann. Probab. 47, 1447–1497 (2019)

3. Asselah, A., Schapira, B., Sousi, P.: Capacity of the range of random walk on $${\mathbb{Z}}^d$$. Trans. Am. Math. Soc. 11, 7627–7645 (2018)

4. Bass, R. F.; Chen, X. and Rosen, J., Moderate deviations for the range of planar random walks. Mem. Am. Math. Soc., 198, viii+82 pp (2009)

5. Bass, R.F., Kumagai, T.: Laws of the iterated logarithm for the range of random walks in two and three dimensions. Ann. Probab. 30, 1369–1396 (2002)

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1. Statistical properties of sites visited by independent random walks;Journal of Statistical Mechanics: Theory and Experiment;2022-10-01

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