Advances in Superprocesses and Nonlinear PDEs

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...

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Corporate Author: SpringerLink (Online service)
Other Authors: Englander, Janos. (Editor, http://id.loc.gov/vocabulary/relators/edt), Rider, Brian. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: New York, NY : Springer US : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Springer Proceedings in Mathematics & Statistics, 38
Subjects:
Online Access:https://doi.org/10.1007/978-1-4614-6240-8
Table of Contents:
  •  Markov processes and their applications to partial differential equations Kuznetsov's contributions
  • Stochastic equations on projective systems of groups
  • Modeling competition between two influenza strains
  • Asymptotic Results for Near Critical Bienaym\'e-Galton-Watson and Catalyst-Reactant Branching Processes
  • Some path large deviation results for a branching diffusion
  • Longtime Behavior for Mutually Catalytic Branching
  • Super-Brownian motion: Lp-convergence of martingales through the pathwise spine decomposition.