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Matematicheskie Zametki, 2016, Volume 99, Issue 3, Pages 395–403
DOI: https://doi.org/10.4213/mzm10764 (Mi mzm10764) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Multidimensional Watson Lemma and Its Applications

A. I. Rytova, E. B. Yarovaya

Lomonosov Moscow State University
Full-text PDF (478 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm10764
Abstract: We prove the multidimensional analog of the well-known Watson lemma and then apply it to prove a local limit theorem for the transition probabilities of symmetric random walks on the multidimensional lattice with infinite variance of jumps.
Keywords: multidimensional Watson lemma, symmetric random walk, infinite variance of jumps, multidimensional lattice, branching random walk.
Funding agency Grant number
Russian Science Foundation 14-21-00162
This study was carried out in Lomonosov Moscow State University and Steklov Mathematical Institute of Russian Academy of Sciences, and was supported by the Russian Science Foundation under grant 14-21-00162.
Received: 23.03.2015
Revised: 14.09.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 3, Pages 406–412
DOI: https://doi.org/10.1134/S0001434616030093
Bibliographic databases:
Document Type: Article
UDC: 517+519.21
PACS: 02.30.Mv, 02.50.Ey
Language: Russian
Citation: A. I. Rytova, E. B. Yarovaya, “Multidimensional Watson Lemma and Its Applications”, Mat. Zametki, 99:3 (2016), 395–403; Math. Notes, 99:3 (2016), 406–412
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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