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Advances in Superprocesses and Nonlinear PDEs

  • Conference proceedings
  • © 2013

Overview

Editors:
  1. Janos Englander

    1. , Department of Mathematics, University of Colorado, Boulder, USA

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  2. Brian Rider

    1. , Department of Mathematics, University of Colorado, Boulder, USA

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    You can also search for this editor in PubMed   Google Scholar

  • Leading experts giving presentations
  • Discrete and continuous models treated together
  • Uniquely related to Professor Kuznetsov's mathematical work

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 38)

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Table of contents (7 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Markov Processes and Their Applications to Partial Differential Equations: Kuznetsov’s Contributions

    • E. B. Dynkin
    Pages 1-9

  3. Stochastic Equations on Projective Systems of Groups

    • Steven N. Evans, Tatyana Gordeeva
    Pages 11-33

  4. Modeling Competition Between Two Influenza Strains

    • Rinaldo B. Schinazi
    Pages 35-40

  5. Asymptotic Results for Near Critical Bienaymé–Galton–Watson and Catalyst-Reactant Branching Processes

    • Amarjit Budhiraja, Dominik Reinhold
    Pages 41-59

  6. Some Path Large-Deviation Results for a Branching Diffusion

    • Robert Hardy, Simon C. Harris
    Pages 61-91

  7. Longtime Behavior for Mutually Catalytic Branching with Negative Correlations

    • Leif Döring, Leonid Mytnik
    Pages 93-111

  8. Super-Brownian Motion: L p-Convergence of Martingales Through the Pathwise Spine Decomposition

    • A. E. Kyprianou, A. Murillo-Salas
    Pages 113-121

  9. Back Matter

    Pages 123-124
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Keywords

About this book

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).

Editors and Affiliations

  • , Department of Mathematics, University of Colorado, Boulder, USA

    Janos Englander, Brian Rider

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