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Mutually catalytic super branching random walks: large finite systems and renormalization analysis

About this Title

J. T. Cox, D. A. Dawson and A. Greven

Publication: Memoirs of the American Mathematical Society
Publication Year 2004: Volume 171, Number 809
ISBNs: 978-0-8218-3542-5 (print); 978-1-4704-0410-9 (online)
MathSciNet review: 2074427
MSC: Primary 60K35; Secondary 60G50, 60J60

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Table of Contents


  • 0. Introduction
  • 1. Results: Longtime behavior of large finite systems
  • 2. Results: Renormalization analysis and corresponding basic limiting dynamics
  • 3. Results: Application of renormalization to large scale behavior
  • 4. Preparation: Key technical tools
  • 5. Finite system scheme (Proof of Theorems 1,2)
  • 6. Multiple space-time scale analysis (Proof of Theorem 3, 5)
  • 7. Analysis of the interaction chain (Proof Theorem 4, 6 – 8)