Mutually Catalytic Super Branching Random Walks Large Finite Systems And Renormalization Analysis

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Mutually Catalytic Super Branching Random Walks: Large Finite Systems and Renormalization Analysis

Studies the evolution of the large finite spatial systems in size-dependent time scales and compare them with the behavior of the infinite systems, which amounts to establishing the so-called finite system scheme. This title introduces the concept of a continuum limit in the hierarchical mean field limit.
Advances in Superprocesses and Nonlinear PDEs

Author: Janos Englander
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-21
Sergei Kuznetsov is one of the top experts on measure valued branching processes (also known as “superprocesses”) and their connection to nonlinear partial differential operators. His research interests range from stochastic processes and partial differential equations to mathematical statistics, time series analysis and statistical software; he has over 90 papers published in international research journals. His most well known contribution to probability theory is the "Kuznetsov-measure." A conference honoring his 60th birthday has been organized at Boulder, Colorado in the summer of 2010, with the participation of Sergei Kuznetsov’s mentor and major co-author, Eugene Dynkin. The conference focused on topics related to superprocesses, branching diffusions and nonlinear partial differential equations. In particular, connections to the so-called “Kuznetsov-measure” were emphasized. Leading experts in the field as well as young researchers contributed to the conference. The meeting was organized by J. Englander and B. Rider (U. of Colorado).
Interacting Stochastic Systems

Author: Jean-Dominique Deuschel
language: en
Publisher: Springer Science & Business Media
Release Date: 2005-12-05
Core papers emanating from the research network, DFG-Schwerpunkt: Interacting stochastic systems of high complexity.