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

被引：59

作者：

Carlen, EA ^{[1
]}

Carvalho, MC ^{[1
]}

Loss, M ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

ACTA MATHEMATICA | 2003年 / 191卷 / 01期

关键词：

D O I：

10.1007/BF02392695

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：1 / 54

页数：54

共 14 条

[1]

ASKEY R, 1975, SIAM REGIONAL C SERI, V21

[2] On the theory of Botzmann's integrodifferential equation [J].

Carleman, T .

ACTA MATHEMATICA, 1933, 60 (01) :91-146

[3]

CARLEN E, 2001, J EQUATIONS DERIVEES

[4] Propagation of smoothness and the rate of exponential convergence to equilibrium for a spatially homogeneous Maxwellian gas [J].

Carlen, EA ;

Gabetta, E ;

Toscani, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 199 (03) :521-546

[5] GENERATING A RANDOM PERMUTATION WITH RANDOM TRANSPOSITIONS [J].

DIACONIS, P ;

SHAHSHAHANI, M .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1981, 57 (02) :159-179

[6] Bounds for Kac's master equation [J].

Diaconis, P ;

Saloff-Coste, L .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2000, 209 (03) :729-755

[7]

GRUNBAUM A, 1972, T AM MATH SOC, V165, P425

[8]

GRUNBAUM FA, 1971, ARCH RATION MECH AN, V42, P323

[9] Spectral gap for Kac's model of Boltzmann equation [J].

Janvresse, E .

ANNALS OF PROBABILITY, 2001, 29 (01) :288-304

[10]

Kac M., 1956, Foundations of kinetic theory, V3, P171

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