Advances in Superprocesses and Nonlinear PDEs

1. Front Matter

   Pages i-ix

   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

   PDF

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).

• Measure-valued processes
• Nonlinear partial differential equations
• Superdiffusions
• Superprocesses
• partial differential equations

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

  Janos Englander, Brian Rider

Policies and ethics