[ספר][B] Measure-valued Markov processes

DA Dawson, B Maisonneuve, J Spencer, D Dawson - 1993‏ - Springer
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[ספר][B] Spatial branching processes, random snakes and partial differential equations

JF Le Gall - 1999‏ - books.google.com
In these lectures, we give an account of certain recent developments of the theory of spatial
branching processes. These developments lead to several fas cinating probabilistic objects …

[ספר][B] Measure-Valued Branching Processes

Z Li, Z Li - 2011‏ - Springer
A measure-valued process describes the evolution of a population that evolves according to
the law of chance. In this chapter we provide some basic characterizations and constructions …

[ספר][B] An introduction to superprocesses

A Etheridge - 2000‏ - ams.org
7.1. The basic superprocesses as building blocks 125 Perkins' stochastic calculus 127 7.2. A
discrete approximation 127 7.3. A countable representation 129 7.4. Dawson's Girsanov …

Stochastic partial differential equations for some measure-valued diffusions

N Konno, T Shiga - Probability theory and related fields, 1988‏ - Springer
We consider two classes of measure-valued diffusion processes; measure-valued branching
diffusions and Fleming-Viot diffusion models. When the basic space is R 1, and the drift …

Probabilistic and fractal aspects of Lévy trees

T Duquesne, JFL Gall - Probability Theory and Related Fields, 2005‏ - Springer
We investigate the random continuous trees called Lévy trees, which are obtained as
scaling limits of discrete Galton-Watson trees. We give a mathematically precise definition of …

Superprocesses and partial differential equations

EB Dynkin - The Annals of Probability, 1993‏ - JSTOR
The subject of this article is a class of measure-valued Markov processes. A typical example
is super-Brownian motion. The Laplacian Δ plays a fundamental role in the theory of …

[ספר][B] Diffusions, superdiffusions, and partial differential equations

EB Dynkin, EB Dynkin, EB Dynkin, EB Dynkin - 2002‏ - Citeseer
Interactions between the theory of partial differential equations of elliptic and parabolic types
and the theory of stochastic processes are beneficial for, both, probability theory and …

Super-Brownian motion: path properties and hitting probabilities

DA Dawson, I Iscoe, EA Perkins - Probability theory and related fields, 1989‏ - Springer
Sample path properties of super-Brownian motion including a one-sided modulus of
continuity and exact Hausdorff measure function of the range and closed support are …

Construction and regularity of measure-valued Markov branching processes

PJ Fitzsimmons - Israel Journal of Mathematics, 1988‏ - Springer
A construction is given for a general class of measure-valued Markov branching processes.
The underlying spatial motion process is an arbitrary Borel right Markov process, and state …