Measure-valued branching processes associated with random walks on \(p\)-adics.
type: Item
instance of: scholarly article
title: Measure-valued branching processes associated with random walks on \(p\)-adics.
zbMATH Open document ID: 1044.60036
published in: The Annals of Probability
publication date: 2003-05-06T00:00:00Z
Mathematics Subject Classification ID: 60G57
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 11S99
Mathematics Subject Classification ID: 60B15
Mathematics Subject Classification ID: 60G30
zbMATH DE Number: 1905959
zbMATH Keywords: random walks
zbMATH Keywords: \(p\)-adic spaces
zbMATH Keywords: measure-valued branching processes
zbMATH Keywords: nonlinear evolution equations
zbMATH Keywords: absolute continuity
zbMATH Keywords: self-similarity
zbMATH Keywords: local extinction
author: S. Albeverio
author: Xuelei Zhao
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1019160503
OpenAlex ID: W1917473252
cites work: Q3744999
cites work: Q4764531
cites work: A random walk on \(p\)-adics -- the generator and its spectrum
cites work: Asymptotics and spectral results for random walks on \(p\)-adics
cites work: Q5556844
cites work: The critical measure diffusion process
cites work: Q3142396
cites work: A critical measure-valued branching process with infinite mean
cites work: Super-Brownian motion: Path properties and hitting probabilities
cites work: An Introduction to Branching Measure-Valued Processes
cites work: Local properties of Lévy processes on a totally disconnected group
cites work: Q4213309
cites work: Local fields, Gaussian measures, and Brownian motions
cites work: Cluster formation in a stepping-stone model with continuous, hierarchically structured sites
cites work: Q4320899
cites work: Critical behavior of some measure-valued processes
cites work: Q5566772
cites work: Hierarchical structures and asymmetric stochastic processes on p-adics and adeles
cites work: Q4138813
cites work: A Schrödinger-type equation over the field of p-adic numbers
cites work: Stochastic partial differential equations for some measure-valued diffusions
cites work: A Space-Time Property of a Class of Measure-Valued Branching Diffusions
cites work: Transience, recurrence and local extinction properties of the support for supercritical finite measure-valued diffusions
cites work: Fourier Analysis on Local Fields. (MN-15)
cites work: Generalized functions over the field ofp-adic numbers
cites work: Q4003475
cites work: Q3747436
cites work: Q4337519
cites work: Some absolute continuities of superdiffusions and super-stable processes
cites work: Q4861782
DOI: 10.1214/AOP/1019160503
description: scientific article; zbMATH DE number 1905959