A Dirichlet space associated with consistent networks on the ring of \(p\)-adic integers
type: Item
instance of: scholarly article
title: A Dirichlet space associated with consistent networks on the ring of \(p\)-adic integers
zbMATH Open document ID: 1267.60039
DOI: 10.1134/S2070046611040054
author: Asumi Imai
author: Hiroshi Kaneko
author: Hisaaki Matsumoto
published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
publication date: 2012-11-13T00:00:00Z
review text: The authors continue work by \textit{S. Albeverio} and \textit{W. Karwowski} [Stochastic Processes Appl. 53, No. 1, 1--22 (1994; Zbl 0810.60065)]. They give a modified method for the reconstruction of a random walk in the ring of \(p\)-adic integers, and obtain a ``subfamily of Albeverio and Karwowski's stochastic processes with a self-similar randomness''.
reviewed by: Roma Kačinskaitė
Mathematics Subject Classification ID: 60G18
Mathematics Subject Classification ID: 11S80
Mathematics Subject Classification ID: 60J45
zbMATH DE Number: 6105088
zbMATH Keywords: Dirichlet space
zbMATH Keywords: \(p\)-adic integers
zbMATH Keywords: random walk
zbMATH Keywords: self similarity
zbMATH Keywords: stochastic processes on fractals
MaRDI profile type: Publication
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full work available at URL: s2070046611040054
OpenAlex ID: W1965770379
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description: scientific article; zbMATH DE number 6105088