21787 articles – 15600 references  [version française]

hal-00652811, version 1

Stochastic Chemical Kinetics with Energy Parameters

Guy Fayolle () 1, Vadim Malyshev a, Serguei Pirogov b

Mathematics and Computer Science III Birkhaüser Verlag Basel/Switzerland (Ed.) (2004) 517-529

Abstract: Abstact: We introduce new models of energy redistribution in stochastic chemical kinetics with several molecule types and energy parameters. The main results concern the situations when there are product form measures. Using a probabilistic interpretation of the related Boltzmann equation, we find some invariant measures explicitly and prove convergence to them.

  • a –  Moscow State University
  • b –  IPPI - Russian Academy of Sciences
  • 1:  IMARA (INRIA Rocquencourt)
  • INRIA
  • Domain : Mathematics/Probability
  • Keywords : Chemical kinetics – energy – Boltzmann equation – Markov chain – product-form
 
  • hal-00652811, version 1
  • http://hal.inria.fr/hal-00652811
  • oai:hal.inria.fr:hal-00652811
  • From: Guy Fayolle <>
  • Submitted on: Friday, 16 December 2011 17:39:49
  • Updated on: Monday, 19 December 2011 11:35:16