Measure-valued branching processes associated with random walks on \(p\)-adics.
DOI10.1214/aop/1019160503zbMath1044.60036OpenAlexW1917473252MaRDI QIDQ1872164
Sergio A. Albeverio, Xue-Lei Zhao
Publication date: 6 May 2003
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1019160503
random walksself-similaritynonlinear evolution equationsabsolute continuitylocal extinction\(p\)-adic spacesmeasure-valued branching processes
Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Algebraic number theory: local fields (11S99) Continuity and singularity of induced measures (60G30) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Related Items (22)
Cites Work
- Super-Brownian motion: Path properties and hitting probabilities
- Cluster formation in a stepping-stone model with continuous, hierarchically structured sites
- Stochastic partial differential equations for some measure-valued diffusions
- Some absolute continuities of superdiffusions and super-stable processes
- A random walk on \(p\)-adics -- the generator and its spectrum
- Asymptotics and spectral results for random walks on \(p\)-adics
- Local properties of Lévy processes on a totally disconnected group
- Transience, recurrence and local extinction properties of the support for supercritical finite measure-valued diffusions
- A Schrödinger-type equation over the field of p-adic numbers
- A critical measure-valued branching process with infinite mean
- A Space-Time Property of a Class of Measure-Valued Branching Diffusions
- Critical behavior of some measure-valued processes
- Generalized functions over the field ofp-adic numbers
- Fourier Analysis on Local Fields. (MN-15)
- The critical measure diffusion process
- An Introduction to Branching Measure-Valued Processes
- Hierarchical structures and asymmetric stochastic processes on p-adics and adeles
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