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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
Determination of the spectral gap for Kac's master equation and related stochastic evolution

Participants in the publication
E. A. Carlen (Author)
RUTGERS UNIVERSITY
M. C. Carvalho (Author)
Dep. Matemática
CMAF - Centro de Matemática e Aplicações Fundamentais 
M. Loss (Author)

Scope
International

Refereeing
Yes

Summary
\nWe derive sharp bounds oil the rate of relaxation to equilibrium for two models of random collisions connected with the Boltzmann equation, as well as several other stochastic evolutions of a related type. We proved the Kac conjecture that he presented in a seminal paper in 1956.

Date of Submisson/Request
2002-01-07
Date of Publication
2003-03

Where published
Acta Mathematica

Publication Identifiers
ISSN - 0001-5962

Publisher
International Press of Boston

Volume
191
Number
1

Number of pages
53
Starting page
1
Last page
54

Document Identifiers
DOI - https://doi.org/10.1007/bf02392695
URL - http://dx.doi.org/10.1007/bf02392695

Keywords
Master Equation Stochastic Evolution We derive sharp bounds oil the rate of relaxation to equilibrium for two models of random collisions connected with the Boltzmann equation a~s well as several other stochastic evolutions of a related type.


Export

APA
E. A. Carlen, M. C. Carvalho, M. Loss, (2003). Determination of the spectral gap for Kac's master equation and related stochastic evolution. Acta Mathematica, 191, 1-54. ISSN 0001-5962. eISSN . http://dx.doi.org/10.1007/bf02392695

IEEE
E. A. Carlen, M. C. Carvalho, M. Loss, "Determination of the spectral gap for Kac's master equation and related stochastic evolution" in Acta Mathematica, vol. 191, pp. 1-54, 2003. 10.1007/bf02392695

BIBTEX
@article{44965, author = {E. A. Carlen and M. C. Carvalho and M. Loss}, title = {Determination of the spectral gap for Kac's master equation and related stochastic evolution}, journal = {Acta Mathematica}, year = 2003, pages = {1-54}, volume = 191 }