ULTRAMETRIC RANDOM FIELD-Reference-Cited by-同舟云学术

ULTRAMETRIC RANDOM FIELD

Published:2006-06 Issue:02 Volume:09 Page:199-213
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

YU. KHRENNIKOV A.¹,KOZYREV S. V.²

Affiliation:

1. International Center for Mathematical Modelling in Physics and Cognitive Sciences University of Växjö, S-35195, Sweden

2. Steklov Mathematical Institute, Moscow, Russia

Abstract

Gaussian random field on general ultrametric space is introduced as a solution of pseudodifferential stochastic equation. Covariation of the introduced random field is computed with the help of wavelet analysis on ultrametric spaces. Notion of ultrametric Markovianity, which describes independence of contributions to random field from different ultrametric balls is introduced. We show that the random field under investigation satisfies this property.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025706002317

Reference24 articles.

1. p -adic Brownian motion

2. p-Adic Analysis and Mathematical Physics

3. Wavelets on ultrametric spaces

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