-
1
-
-
7244240248
-
Sur les Inégalités de Sobolev Logarithmiques
-
Société Mathématique de France
-
Ané C., Blachère S., Chafaï D., Fougères P., Gentil I., Malrieu F., Roberto C., and Scheffer G. Sur les Inégalités de Sobolev Logarithmiques. Panor. Synthèses vol. 10 (2000), Société Mathématique de France
-
(2000)
Panor. Synthèses
, vol.10
-
-
Ané, C.1
Blachère, S.2
Chafaï, D.3
Fougères, P.4
Gentil, I.5
Malrieu, F.6
Roberto, C.7
Scheffer, G.8
-
2
-
-
0002042431
-
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations
-
Arnold A., Markowich P., Toscani G., and Unterreiter A. On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Comm. Partial Differential Equations 26 1-2 (2001) 43-100
-
(2001)
Comm. Partial Differential Equations
, vol.26
, Issue.1-2
, pp. 43-100
-
-
Arnold, A.1
Markowich, P.2
Toscani, G.3
Unterreiter, A.4
-
4
-
-
0031359702
-
Path coupling: A technique for proving rapid mixing in Markov chains
-
Bubley R., and Dyer M.E. Path coupling: A technique for proving rapid mixing in Markov chains. Found. Comput. Sci. (1997) 223-231
-
(1997)
Found. Comput. Sci.
, pp. 223-231
-
-
Bubley, R.1
Dyer, M.E.2
-
5
-
-
0001362443
-
Hypercontractivité de semi-groupes de diffusion
-
Bakry D., and Émery M. Hypercontractivité de semi-groupes de diffusion. C. R. Math. Acad. Sci. Paris Sér. I 299 15 (1984) 775-778
-
(1984)
C. R. Math. Acad. Sci. Paris Sér. I
, vol.299
, Issue.15
, pp. 775-778
-
-
Bakry, D.1
Émery, M.2
-
6
-
-
0001119849
-
Diffusions hypercontractives
-
Séminaire de Probabilités, XIX, 1983/1984, Springer, Berlin
-
Bakry D., and Émery M. Diffusions hypercontractives. Séminaire de Probabilités, XIX, 1983/1984. Lecture Notes in Math. vol. 1123 (1985), Springer, Berlin 177-206
-
(1985)
Lecture Notes in Math.
, vol.1123
, pp. 177-206
-
-
Bakry, D.1
Émery, M.2
-
8
-
-
0000387123
-
On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures
-
Bobkov S., and Ledoux M. On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures. J. Funct. Anal. 156 2 (1998) 347-365
-
(1998)
J. Funct. Anal.
, vol.156
, Issue.2
, pp. 347-365
-
-
Bobkov, S.1
Ledoux, M.2
-
9
-
-
4244024058
-
Markov Chains
-
Springer, New York
-
Brémaud P. Markov Chains. Texts Appl. Math. vol. 31 (1999), Springer, New York
-
(1999)
Texts Appl. Math.
, vol.31
-
-
Brémaud, P.1
-
10
-
-
58149087986
-
-
A.-I. Bonciocat, K.-T. Sturm, Mass transportation and rough curvature bounds for discrete spaces, preprint
-
A.-I. Bonciocat, K.-T. Sturm, Mass transportation and rough curvature bounds for discrete spaces, preprint
-
-
-
-
11
-
-
0013381852
-
Trilogy of couplings and general formulas for lower bound of spectral gap
-
Probability Towards 2000. New York, 1995, Springer, New York
-
Chen M.-F. Trilogy of couplings and general formulas for lower bound of spectral gap. Probability Towards 2000. New York, 1995. Lecture Notes in Statist. vol. 128 (1998), Springer, New York 123-136
-
(1998)
Lecture Notes in Statist.
, vol.128
, pp. 123-136
-
-
Chen, M.-F.1
-
13
-
-
0000128724
-
Coupling methods for multidimensional diffusion processes
-
Chen M.-F., and Li S.-F. Coupling methods for multidimensional diffusion processes. Ann. Probab. 17 1 (1989) 151-177
-
(1989)
Ann. Probab.
, vol.17
, Issue.1
, pp. 151-177
-
-
Chen, M.-F.1
Li, S.-F.2
-
14
-
-
0002732337
-
Application of coupling method to the first eigenvalue on manifold
-
Chen M.-F., and Wang F.-Y. Application of coupling method to the first eigenvalue on manifold. Sci. China Ser. A 37 1 (1994) 1-14
-
(1994)
Sci. China Ser. A
, vol.37
, Issue.1
, pp. 1-14
-
-
Chen, M.-F.1
Wang, F.-Y.2
-
15
-
-
4544338134
-
Transportation cost-information inequalities and applications to random dynamical systems and diffusions
-
Djellout H., Guillin A., and Wu L. Transportation cost-information inequalities and applications to random dynamical systems and diffusions. Ann. Probab. 32 3B (2004) 2702-2732
-
(2004)
Ann. Probab.
, vol.32
, Issue.3 B
, pp. 2702-2732
-
-
Djellout, H.1
Guillin, A.2
Wu, L.3
-
16
-
-
0040356919
-
On the condition of the central limit theorem for inhomogeneous Markov chains
-
(in Russian)
-
Dobrušin R.L. On the condition of the central limit theorem for inhomogeneous Markov chains. Dokl. Akad. Nauk SSSR (N.S.) 108 (1956) 1004-1006 (in Russian)
-
(1956)
Dokl. Akad. Nauk SSSR (N.S.)
, vol.108
, pp. 1004-1006
-
-
Dobrušin, R.L.1
-
17
-
-
0010079682
-
Central limit theorem for non-stationary Markov chains I
-
(in Russian)
-
Dobrushin R. Central limit theorem for non-stationary Markov chains I. Teor. Veroyatnost. i Primenen. 1 (1956) 72-89 (in Russian)
-
(1956)
Teor. Veroyatnost. i Primenen.
, vol.1
, pp. 72-89
-
-
Dobrushin, R.1
-
18
-
-
0000080779
-
Definition of a system of random variables by means of conditional distributions
-
(in Russian)
-
Dobrušin R.L. Definition of a system of random variables by means of conditional distributions. Teor. Verojatnost. i Primenen. 15 (1970) 469-497 (in Russian)
-
(1970)
Teor. Verojatnost. i Primenen.
, vol.15
, pp. 469-497
-
-
Dobrušin, R.L.1
-
19
-
-
0002499711
-
Perturbation methods of the theory of Gibbsian fields
-
Lectures on Probability Theory and Statistics, Lectures from the 24th Saint-Flour Summer School held July 7-23, 1994. Dobrushin R., Groeneboom P., and Ledoux M. (Eds). Bernard P. (Ed), Springer, Berlin
-
Dobrushin R. Perturbation methods of the theory of Gibbsian fields. In: Dobrushin R., Groeneboom P., and Ledoux M. (Eds). Lectures on Probability Theory and Statistics, Lectures from the 24th Saint-Flour Summer School held July 7-23, 1994. In: Bernard P. (Ed). Lecture Notes in Math. vol. 1648 (1996), Springer, Berlin 1-66
-
(1996)
Lecture Notes in Math.
, vol.1648
, pp. 1-66
-
-
Dobrushin, R.1
-
20
-
-
0002498186
-
Constructive criterion for the uniqueness of Gibbs field
-
Statistical Physics and Dynamical Systems, papers from the Second Colloquium and Workshop on Random Fields: Rigorous Results in Statistical Mechanics, held in Köszeg. Fritz J., Jaffe A., and Szász D. (Eds). August 26-September 1, 1984, Birkhäuser, Boston
-
Dobrushin R.L., and Shlosman S.B. Constructive criterion for the uniqueness of Gibbs field. In: Fritz J., Jaffe A., and Szász D. (Eds). Statistical Physics and Dynamical Systems, papers from the Second Colloquium and Workshop on Random Fields: Rigorous Results in Statistical Mechanics, held in Köszeg. August 26-September 1, 1984. Progress in Phys. vol. 10 (1985), Birkhäuser, Boston 347-370
-
(1985)
Progress in Phys.
, vol.10
, pp. 347-370
-
-
Dobrushin, R.L.1
Shlosman, S.B.2
-
21
-
-
0030487036
-
Logarithmic Sobolev inequalities for finite Markov chains
-
Diaconis P., and Saloff-Coste L. Logarithmic Sobolev inequalities for finite Markov chains. Ann. Appl. Probab. 6 3 (1996) 695-750
-
(1996)
Ann. Appl. Probab.
, vol.6
, Issue.3
, pp. 695-750
-
-
Diaconis, P.1
Saloff-Coste, L.2
-
22
-
-
0003208243
-
Large Deviations Techniques and Applications
-
Springer, New York
-
Dembo A., and Zeitouni O. Large Deviations Techniques and Applications. Appl. Math. second ed. vol. 38 (1998), Springer, New York
-
(1998)
Appl. Math. second ed.
, vol.38
-
-
Dembo, A.1
Zeitouni, O.2
-
24
-
-
0003352567
-
Sur les Groupes Hyperboliques d'Après Mikhael Gromov
-
Birkhäuser
-
Ghys E., and de la Harpe P. Sur les Groupes Hyperboliques d'Après Mikhael Gromov. Progr. Math. vol. 83 (1990), Birkhäuser
-
(1990)
Progr. Math.
, vol.83
-
-
Ghys, E.1
de la Harpe, P.2
-
25
-
-
0000535132
-
A topological application of the isoperimetric inequality
-
Gromov M., and Milman V. A topological application of the isoperimetric inequality. Amer. J. Math. 105 (1983) 843-854
-
(1983)
Amer. J. Math.
, vol.105
, pp. 843-854
-
-
Gromov, M.1
Milman, V.2
-
26
-
-
0142076994
-
Correlations in Ising ferromagnets III
-
Griffiths R.B. Correlations in Ising ferromagnets III. Commun. Math. Phys. 6 (1967) 121-127
-
(1967)
Commun. Math. Phys.
, vol.6
, pp. 121-127
-
-
Griffiths, R.B.1
-
27
-
-
0009389702
-
Isoperimetric inequalities in Riemannian manifolds
-
Asymptotic Theory of Finite Dimensional Normed Spaces. Milman V., and Schechtman G. (Eds), Springer, Berlin
-
Gromov M. Isoperimetric inequalities in Riemannian manifolds. In: Milman V., and Schechtman G. (Eds). Asymptotic Theory of Finite Dimensional Normed Spaces. Lecture Notes in Math. vol. 1200 (1986), Springer, Berlin 114-129
-
(1986)
Lecture Notes in Math.
, vol.1200
, pp. 114-129
-
-
Gromov, M.1
-
28
-
-
47249098269
-
Poisson-type deviation inequalities for curved continuous time Markov chains
-
Joulin A. Poisson-type deviation inequalities for curved continuous time Markov chains. Bernoulli 13 3 (2007) 782-798
-
(2007)
Bernoulli
, vol.13
, Issue.3
, pp. 782-798
-
-
Joulin, A.1
-
29
-
-
0012942540
-
The Concentration of Measure Phenomenon
-
Amer. Math. Soc.
-
Ledoux M. The Concentration of Measure Phenomenon. Math. Surveys Monogr. vol. 89 (2001), Amer. Math. Soc.
-
(2001)
Math. Surveys Monogr.
, vol.89
-
-
Ledoux, M.1
-
30
-
-
58149084448
-
-
J. Lott, Optimal transport and Ricci curvature for metric-measure spaces, expository manuscript
-
J. Lott, Optimal transport and Ricci curvature for metric-measure spaces, expository manuscript
-
-
-
-
31
-
-
58149096019
-
-
J. Lott, C. Villani, Ricci curvature for metric-measure spaces via optimal transport, preprint
-
J. Lott, C. Villani, Ricci curvature for metric-measure spaces via optimal transport, preprint
-
-
-
-
32
-
-
0030514042
-
Bounding over(d, -)-distance by informational divergence: A method to prove measure concentration
-
Marton K. Bounding over(d, -)-distance by informational divergence: A method to prove measure concentration. Ann. Probab. 24 2 (1996) 857-866
-
(1996)
Ann. Probab.
, vol.24
, Issue.2
, pp. 857-866
-
-
Marton, K.1
-
33
-
-
0030557447
-
A measure concentration inequality for contracting Markov chains
-
Marton K. A measure concentration inequality for contracting Markov chains. Geom. Funct. Anal. 6 3 (1996) 556-571
-
(1996)
Geom. Funct. Anal.
, vol.6
, Issue.3
, pp. 556-571
-
-
Marton, K.1
-
34
-
-
21744461411
-
A measure concentration inequality for contracting Markov chains
-
Erratum
-
Marton K. A measure concentration inequality for contracting Markov chains. Geom. Funct. Anal. 7 3 (1997) 609-613 Erratum
-
(1997)
Geom. Funct. Anal.
, vol.7
, Issue.3
, pp. 609-613
-
-
Marton, K.1
-
35
-
-
36349004272
-
Relaxation times of Markov chains in statistical mechanics and combinatorial structures
-
Probability on Discrete Structures. Kesten H. (Ed), Springer, Berlin
-
Martinelli F. Relaxation times of Markov chains in statistical mechanics and combinatorial structures. In: Kesten H. (Ed). Probability on Discrete Structures. Encyclopaedia Math. Sci. vol. 110 (2004), Springer, Berlin 175-262
-
(2004)
Encyclopaedia Math. Sci.
, vol.110
, pp. 175-262
-
-
Martinelli, F.1
-
36
-
-
0003270948
-
Asymptotic Theory of Finite Dimensional Normed Spaces
-
Springer, Berlin
-
Milman V., and Schechtman G. Asymptotic Theory of Finite Dimensional Normed Spaces. Lecture Notes in Math. vol. 1200 (1986), Springer, Berlin
-
(1986)
Lecture Notes in Math.
, vol.1200
-
-
Milman, V.1
Schechtman, G.2
-
37
-
-
58149083372
-
-
M. Hazewinkel, The Online Encyclopaedia of Mathematics, article Wasserstein metric, http://eom.springer.de/W/w120020.htm
-
M. Hazewinkel, The Online Encyclopaedia of Mathematics, article Wasserstein metric, http://eom.springer.de/W/w120020.htm
-
-
-
-
38
-
-
35649015387
-
On the measure contraction property of metric measure spaces
-
Ohta S.-i. On the measure contraction property of metric measure spaces. Comment. Math. Helv. 82 4 (2007) 805-828
-
(2007)
Comment. Math. Helv.
, vol.82
, Issue.4
, pp. 805-828
-
-
Ohta, S.-i.1
-
39
-
-
58149101193
-
-
R. Imbuzeiro Oliveira, On the convergence to equilibrium of Kac's random walk on matrices, preprint, arXiv: 0705.2253
-
R. Imbuzeiro Oliveira, On the convergence to equilibrium of Kac's random walk on matrices, preprint, arXiv: 0705.2253
-
-
-
-
40
-
-
3242761481
-
Sharp phase transition theorems for hyperbolicity of random groups
-
Ollivier Y. Sharp phase transition theorems for hyperbolicity of random groups. Geom. Funct. Anal. 14 3 (2004) 595-679
-
(2004)
Geom. Funct. Anal.
, vol.14
, Issue.3
, pp. 595-679
-
-
Ollivier, Y.1
-
41
-
-
36349020218
-
Ricci curvature of metric spaces
-
Ollivier Y. Ricci curvature of metric spaces. C. R. Math. Acad. Sci. Paris 345 11 (2007) 643-646
-
(2007)
C. R. Math. Acad. Sci. Paris
, vol.345
, Issue.11
, pp. 643-646
-
-
Ollivier, Y.1
-
42
-
-
0001559554
-
Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
-
Otto F., and Villani C. Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. J. Funct. Anal. 173 (2000) 361-400
-
(2000)
J. Funct. Anal.
, vol.173
, pp. 361-400
-
-
Otto, F.1
Villani, C.2
-
43
-
-
58149100634
-
-
Y. Peres, Mixing for Markov chains and spin systems, Lecture Notes, 2005
-
Y. Peres, Mixing for Markov chains and spin systems, Lecture Notes, 2005
-
-
-
-
44
-
-
20744448674
-
Transport inequalities, gradient estimates, and Ricci curvature
-
von Renesse M.-K., and Sturm K.-T. Transport inequalities, gradient estimates, and Ricci curvature. Comm. Pure Appl. Math. 68 (2005) 923-940
-
(2005)
Comm. Pure Appl. Math.
, vol.68
, pp. 923-940
-
-
von Renesse, M.-K.1
Sturm, K.-T.2
-
45
-
-
58149102859
-
-
M.D. Sammer, Aspects of mass transportation in discrete concentration inequalities, PhD thesis, Georgia institute of technology, 2005, etd.gatech.edu/theses/available/etd-04112005-163457/unrestricted/sammer_marcus_ d_200505_phd.pdf
-
M.D. Sammer, Aspects of mass transportation in discrete concentration inequalities, PhD thesis, Georgia institute of technology, 2005, etd.gatech.edu/theses/available/etd-04112005-163457/unrestricted/sammer_marcus_ d_200505_phd.pdf
-
-
-
-
47
-
-
33750180350
-
On the geometry of metric measure spaces
-
Sturm K.-T. On the geometry of metric measure spaces. Acta Math. 196 1 (2006) 65-177
-
(2006)
Acta Math.
, vol.196
, Issue.1
, pp. 65-177
-
-
Sturm, K.-T.1
-
48
-
-
1542342359
-
Topics in Optimal Transportation
-
Amer. Math. Soc., Providence, RI
-
Villani C. Topics in Optimal Transportation. Grad. Stud. Math. vol. 58 (2003), Amer. Math. Soc., Providence, RI
-
(2003)
Grad. Stud. Math.
, vol.58
-
-
Villani, C.1
-
49
-
-
58149095909
-
Optimal Transport, Old and New
-
Springer
-
Villani C. Optimal Transport, Old and New. Grundlehren Math. Wiss. vol. 338 (2008), Springer
-
(2008)
Grundlehren Math. Wiss.
, vol.338
-
-
Villani, C.1
|