An introduction to superprocesses

By A. Etheridge. 2000

332 citations recorded by the source corpus.

Subfields: Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d0056abe9f3a161a4633b5e62b7224d604506b87

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In Statistical and Nonlinear Physics

Citations in the corpus

Stochastic flows associated to coalescent processes (2003, unknown): “Chapter 1 of Etheridge [7].”
Recent progress in coalescent theory (2009, unknown): “On top of this branching structure, particles are moving according to simple random walk: therefore, we do expect in the limit as t → ∞ that this system can be rescaled to the super Brownian motion, as this is precisely defined as the scaling limit of critical branching Galton-Watson process with Br”
Analysis of continuous strict local martingales via h-transforms (2007, methodology): “erprocess by using the total mass process (which is a martingale) as the Radon-Nikody´m derivative. Please see the seminal article in this direction by Evans & Perkins [10], the book by Etheridge [9], and a follow-up article on similar other h-transforms by Overbeck [26]. 11 3 A converse to the ”
BETA-COALESCENTS AND CONTINUOUS STABLE RANDOM TREES (2006, background): “What follows is largely inspired by [14] and [22], Chapter 5.”
Random Trees, Lévy Processes and Spatial Branching Processes (2005, background): “Recent accounts of the theory of superprocesses can be found in Dynkin [14], Etheridge [4] and Perkins [39].”
Tree-valued Fleming–Viot dynamics with mutation and selection (2011, background): “Compare also Section 7.6 in Etheridge (2001).”
Law of large numbers for a class of superdiffusions (2005, background): “ple For time-homogeneous processes with constant branching rate this is written down in detail in [10], p.”
Combinatorial Stochastic Processes (2006, methodology): “This is further explained with pictures in Etheridge [136].”
Travelling wave solutions to the K-P-P equation: alternatives to Simon Harris' probabilistic analysis (2004, background): “In contrast, the analogous relationship between superprocesses and certain non-linear differential equations has received more attention; see, for example, the overviews in [21,33,19].”
Stochastic flows associated to coalescent processes II: Stochastic differential equations (2005, background): “Chapter 1 of Etheridge [2] for an introduction to Flemi measure-valued processes), is studied in Section 5 of [1].”