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Izvestiya: Mathematics, 1997, Volume 61, Issue 3, Pages 537–552
DOI: https://doi.org/10.1070/im1997v061n03ABEH000126 (Mi im126) 		 
This article is cited in 35 scientific papers (total in 35 papers)

$p$-adic Brownian motion

A. Kh. Bikulova, I. V. Volovichb

a Togliatti State Polytechnic Institute
b Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (211 kB) Citations (35)
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DOI: https://doi.org/10.1070/im1997v061n03ABEH000126
Abstract: A $p$-adic analogue of Brownian motion is constructed and studied. The properties of the trajectories of a $p$-adic Wiener process are studied using Vladimirov's $p$-adic differentiation operator. To construct the $p$-adic Brownian motion we use a $p$-adic analogue of the Paley–Wiener method and a stochastic pseudodifferential equation.
Received: 17.10.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1997, Volume 61, Issue 3, Pages 75–90
DOI: https://doi.org/10.4213/im126
Bibliographic databases:
Document Type: Article
MSC: 60J65, 60G20, 60G17
Language: English
Original paper language: Russian
Citation: A. Kh. Bikulov, I. V. Volovich, “$p$-adic Brownian motion”, Izv. RAN. Ser. Mat., 61:3 (1997), 75–90; Izv. Math., 61:3 (1997), 537–552
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v61/i3/p75
    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:673
    Russian version PDF:315
    English version PDF:35
    References:63
    First page:4
     
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