Exponential Convergence Rates of Second Quantization Semigroups and Applications

Changsong Deng; Feng-Yu Wang

Exponential Convergence Rates of Second Quantization Semigroups and Applications

Probability 2010-12-30 v1

Authors: Changsong Deng , Feng-Yu Wang

Abstract

Exponential convergence rates in the $L^2$ -tail norm and entropy are characterized for the second quantization semigroups by using the corresponding base Dirichlet form. This supplements the well known result on the $L^2$ -exponential convergence rate of second quantization semigroups. As applications, birth-death type processes on Poisson spaces and the path space of L\'evy processes are investigated.

Keywords

lévy processes poisson processes

Cite

@article{arxiv.1012.5689,
  title  = {Exponential Convergence Rates of Second Quantization Semigroups and Applications},
  author = {Changsong Deng and Feng-Yu Wang},
  journal= {arXiv preprint arXiv:1012.5689},
  year   = {2010}
}

Comments

20 pages

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