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Volumn 243, Issue 2, 2003, Pages 291-331

The eigenvalues of Kac's master equation

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EID: 0037934453     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00209-002-0466-y     Document Type: Article
Times cited : (36)

References (21)
  • 1
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    • (1994) J. Statist. Phys. , vol.74 , pp. 743-782
    • Carlen, E.1    Carvalho, M.2
  • 3
    • 0001464651 scopus 로고
    • On the modular representations of the general linear and symmetric groups
    • Carter, R., Lusztig, G., On the modular representations of the general linear and symmetric groups, Math. Z. 136, 193-242 (1974)
    • (1974) Math. Z. , vol.136 , pp. 193-242
    • Carter, R.1    Lusztig, G.2
  • 4
    • 0003287218 scopus 로고
    • The Boltzmann equation and its applications
    • Springer-Verlag, New York
    • Cercignani, C., The Boltzmann equation and its applications, Applied Mathematical Sciences 67, Springer-Verlag, New York, 1988
    • (1988) Applied Mathematical Sciences , vol.67
    • Cercignani, C.1
  • 9
    • 0002408006 scopus 로고
    • Nonlinear model-Boltzmann equations and exact solutions
    • Ernst, M., Nonlinear model-Boltzmann equations and exact solutions, Physics Reports 78, 1-171 (1981)
    • (1981) Physics Reports , vol.78 , pp. 1-171
    • Ernst, M.1
  • 10
    • 0035533089 scopus 로고    scopus 로고
    • Spectral gap for Kac's model of Boltzmann equation
    • Janvresse, E., Spectral Gap for Kac's model of Boltzmann equation, Ann. Probab. 29, 288-304 (2001)
    • (2001) Ann. Probab. , vol.29 , pp. 288-304
    • Janvresse, E.1
  • 11
    • 0004168074 scopus 로고
    • Some stochastic problems in physics and mathematics
    • Field Research Laboratory, Magnolia Petroleum Company, Dallas TX
    • Kac, M., Some stochastic problems in physics and mathematics, Colloquium Lectures in Pure and Applied Mathematics No. 2, Field Research Laboratory, Magnolia Petroleum Company, Dallas TX, 1956
    • (1956) Colloquium Lectures in Pure and Applied Mathematics , vol.2
    • Kac, M.1
  • 12
    • 0001581984 scopus 로고
    • Foundations of kinetic theory
    • Neymann, J. ed.
    • Kac, M., Foundations of kinetic theory, Proc. 3rd Berkeley Sympos. (Neymann, J. ed.) Vol. 3 (1959), 171-197
    • (1959) Proc. 3rd Berkeley Sympos. , vol.3 , pp. 171-197
    • Kac, M.1
  • 14
    • 0003251578 scopus 로고
    • The representation theory of the symmetric groups
    • Springer-Verlag, New York
    • James, G., The representation theory of the symmetric groups, Lecture Notes in Math., vol. 682, Springer-Verlag, New York, 1978
    • (1978) Lecture Notes in Math. , vol.682
    • James, G.1
  • 15
    • 0003369268 scopus 로고
    • Perturbation theory for linear operators
    • Springer-Verlag, New York
    • Kato, T., Perturbation theory for linear operators, Grundlehren der Mathematischen Wissenschaften, Band 132, Springer-Verlag, New York, 1976
    • (1976) Grundlehren der Mathematischen Wissenschaften , vol.132
    • Kato, T.1
  • 17
    • 0001055303 scopus 로고
    • Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
    • McKean, H., Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas, Arch. Rational Mech. Anal. 2, 343-367 (1966)
    • (1966) Arch. Rational Mech. Anal. , vol.2 , pp. 343-367
    • McKean, H.1
  • 21
    • 0003212481 scopus 로고
    • Special functions and the theory of group representations
    • A.M.S., Providence RI
    • Vilenkin, N., Special functions and the theory of group representations, Translations of Mathematical Monographs 22, A.M.S., Providence RI, 1968
    • (1968) Translations of Mathematical Monographs , vol.22
    • Vilenkin, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.