January 2015 Publications Laurent Saloff

January 2015
Publications
Laurent Saloff-Coste
1. Opérateurs pseudo-différentiels sur un corps local.
C. R. Acad. Sc. Paris. 297, 1983, 171-174.
2. A propos de certaines martingales transformées.
C. R. Acad. Sc. Paris. 299, 1984, 261-264.
3. Opérateurs de transformations singulières de martingales sur des espaces de types
homogène et non-homogène.
Bull. Sc. Math. 109, 1985, 309-320.
4. Opérateurs pseudo-différentiels sur certains groupes totalement discontinus.
Studia Math. 83, 1986, 205-228.
5. Analyse sur les groupes de Lie nilpotents.
C. R. Acad. Sc. Paris. 302, 1986, 499-502.
6. Variation quadratiques conditionnées et transformations de martingales.
Bull. Sc. Math. 111, 1987, 387-399.
7. Fonctions maximales sur certains groupes de Lie.
C. R. Acad. Sc. Paris. 305, 1987, 457-459.
8. Inégalités de Gagliardo-Nirenberg pour les groupes de Lie nilpotents.
C. R. Acad. Sc. Paris. 305, 1987, 295-297.
9. Inégalités de Sobolev produit sur les groupes de Lie nilpotents.
J. Funct. Anal. 79, 1988, 44-56.
10. Théorèmes de Sobolev et inégalités de Trudinger sur certains groupes de Lie.
C. R. Acad. Sc. Paris. 306, 1988, 305-308.
11. Théorie de Hardy-Littlewood-Sobolev pour les semi-groupes d’opérateurs et applications aux groupes
de Lie unimodulaires.
Sém. d’analyse. Clermont Ferrand II, exposé 21, 1987-1988. With Th. Coulhon.
12. Théorèmes de Sobolev pour les semi-groupes d’opérateurs et applications aux groupes de Lie
unimodulaires.
C. R. Acad. Sc. Paris. 309, 1989, 289-294. With Th. Coulhon.
13. Sur la décroissance des puissances de convolution sur les groupes.
Bull. Sc. Math. 113, 1989, 3-21.
14. Analyse réelle sur les groupes à croissance polynômiale.
C. R. Acad. Sc. Paris. 309, 1989, 149-151.
15. Puissances d’un opérateur régularisant.
Ann. Inst. H. Poincaré, Prob. Stat., 26, 1990, 419-436. With Th. Coulhon.
16. Marches aléatoires non symétriques sur les groupes unimodulaires.
C. R. Acad. Sc. Paris. 310, 1990, 627-630. With Th. Coulhon.
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17. Analyse sur les groupes de Lie à croissance polynômiale.
Ark. för Math. 28, 1990, 315-331.
18. Opérateurs uniformément elliptiques sur les variétés riemanniennes.
C. R. Acad. Sc. Paris. 321, 1991, 25-30.
19. Semi-groupes d’opérateurs et espaces fonctionnels sur les groupes de Lie.
J. Approx. Th. 65, 1991, 176-199. With Th. Coulhon.
20. Sobolev inequalities and polynomial decay of convolution powers and random walks.
Stochastic Analysis and applications. Proceedings of the 1989 Lisbon conference.
Birkhäuser, 1991.
21. Opérateurs uniformément sous-elliptiques sur les groupes de Lie.
J. Funct. Anal., 98, 1991, 97-121. With D. Stroock.
22. A note on Poincaré, Sobolev, and Harnack inequalities.
Duke J. Math., 65, IMRN, 1992, 27-38.
23. Uniformly elliptic operators on Riemannian manifolds.
J. Diff. Geometry, 63, 1992, 417-450.
24. Analysis and geometry on groups.
Cambridge Tracts in Mathematics, 100. Cambridge University Press, 1993. With Th. Coulhon
et N. Varopoulos.
25. Gaussian estimates for Markov chains and random walks on groups.
Ann. Prob., 21, 1993, 673-709. With W. Hebisch.
26. Comparison techniques for random walk on finite groups.
Ann. Prob., 21, 1993, 2131-2156. With P. Diaconis.
27. Isopérimétrie pour les groupes et les variétés.
Rev. Mat. Iberoamericana, 9, 1993, 293-314. With Th. Coulhon.
28. Comparison Theorems for reversible Markov chains
Ann. Appl. Prob., 3, 1993, 696-730. With P. Diaconis.
29. Minorations pour les chaı̂nes de Markov unidimensionnelles.
Proba. Th. Relat. Fields, 97, 1993, 423-431. With Th. Coulhon.
30. Moderate growth and random walk on finite groups.
Geom. and Funct. Anal., 4, 1994, 1-36. With P. Diaconis.
31. On global Sobolev inequalities.
Forum Math., 6, 1994, 271-286.
32. Precise estimates on the rate at which certain diffusions tend to equilibrium.
Math. Zeit. 217, 1994. 641-677.
33. Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature
bounded below.
Coll. Math., 67, 1994, 109-121.
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34. An application of Harnack inequalities to random walk on nilpotent quotients.
J. Fourier Anal. Appl. Special issue, 1995, Colloque in honor of J.P. Kahane. With P.
Diaconis.
35. Isoperimetric inequalities and decay of iterated kernels for almost transitive Markov chains.
Comb. Prob. Comp., 4, 1995, 419-442.
36. Variétés riemanniennes isométriques à l’infini.
Rev. Mat. Iberoamericana, 11, 1995, 887-72. With Th. Coulhon.
37. Analyse sur les boules d’un opérateur sous-elliptique.
Math. Ann., 303, 1995, 713-740. With P. Maheux.
38. Parabolic Harnack inequality for divergence form second order differential operators.
Potential Analysis, 4, 1995, 429-467.
39. Sobolev inequalities in disguise.
Indiana Univ. Math. J., 44, 1995, 1033-1074. With D. Bakry, Th. Coulhon, M. Ledoux.
40. Random walks on finite groups: a survey of analytic techniques.
In Probability measures on groups and related structures, (H. Heyer, Ed.), 1995, World
Scientific. With P. Diaconis.
41. Computing norms of group-invariant transition operators.
Comb. Prob. Comp., 5, 1996, 161-178. With W. Woess.
42. Nash inequalities for finite Markov chains.
J. Th. Prob., 9 , 1996, 459-510. With P. Diaconis.
43. Logarithmic Sobolev inequalities for finite Markov chains.
Ann. Appl. Prob., 6, 1996, 695-750. With P. Diaconis.
44. Walks on generating sets of Abelian groups.
J. Prob. Th. Rel. Fields, 105, 1996, 393-421. With P. Diaconis.
45. Some inequalities for superharmonic functions on graphs.
Potential analysis, 6, 1997, 163-181.
46. Théorie du potentiel sur les produits infinis et les groupes localement compacts.
C. R. Acad. Sc. Paris. 324, Série I, 1997, 777-782. With A. Bendikov.
47. Inequalities for p-superharmonic functions on networks.
Rend. Sem. Fis. Mat. Milano, Vol. LXV (1995), 1997, 139-158.
48. Lectures on finite Markov chains.
Lecture Notes in Mathematics 1665, 1997, 301-408.
Ecole d’été de St Flour 1996.
49. Elliptic diffusions on infinite products.
J. reine angew. Math. 493, 1997, 171-220. With A. Bendikov.
50. Transition operators, groups, norms and spectral radii.
Pacific J. Math. 180, 1997, 333-367. With W. Woess.
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51. Walks on generating sets of groups.
Inventiones mathematicae 134, 1998, 251-299. With P. Diaconis.
52. What do we know about the Metropolis algorithm?
J. Computer and System Sciences, 57, 1998, 20-36. With P. Diaconis.
53. Some problems in analysis and probability on infinite dimensional groups.
In Analysis on infinite-dimensional Lie groups and Lie algebras, CIRM 97, (H. Heyer
and J. Marion, Eds) 1998, 9-21, World Scientific. With A. Bendikov.
54. Simples examples of the use of Nash inequalities for finite Markov chains.
In Current Trends in Stochastic Geometry, Likelihood and Computation. (W. Kendall
et al. Eds.) Chapman & Hall. 1999.
55. Amenable groups, isoperimetric profiles and random walks.
In Geometric Group Theory Down Under, Camberra, 1996. (J. Cossey et al. Eds).
1999, 293-316. Walter de Gruyter. With C. Pittet.
56. Random walk and isoperimetry on discrete subgroups of Lie groups.
In Discrete potential theory, Cortona, 1997, (M. Picardello and W. Woess, Eds) 1999,
306-321, Symposia Mathematica XXXIX, Cambridge University Press. With C. Pittet.
57. Potential theory on infinite products and locally compact groups.
Potential Analysis 11, 1999, 325-358. With A. Bendikov.
58. Heat kernel on connected sums of Riemannian manifolds
Mathematical Research Letters 6, 1999, 307-321. With A. Grigor’yan.
59. Bounds for Kac’s master equation
Communication in Mathematical Physics 209, 2000, 729-755. With Persi Diaconis.
60. On- and off-diagonal heat kernel behaviors on certain infinite dimensional local Dirichlet spaces.
American Journal of Mathematics 122, 2000, 1205-1263. With A. Bendikov.
61. On the stability of the behavior of random walks on groups.
Journal of Geometric Analalysis 10, 713–737, 2000. With Ch. Pittet.
62. Probability on groups: Random walks and Invariant Diffusions.
Notices of the American Mathematical Society 49, 2001, 968-977.
63. On the absolute continuity of Gaussian measures on locally compact groups
Journal of Theoretical Probability 14, 2001, 887-898. With A. Bendikov.
64. On the relation between elliptic and parabolic Harnack inequalities.
Annales de l’Institut Fourier 51, 1437-1481, 2001. With W. Hebisch.
65. Central Gaussian semigroups of measures with continuous density.
Journal of Functional Analysis 186, 206–268, 2001. With A. Bendikov.
66. Harnack inequality and hyperbolicity for subelliptic p-Laplacians with applications to Picard type
theorems.
Geometric and Functional Analysis 11, 1139-1191, 2001. With Th. Coulhon and I.
Holopainen.
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67. Aspects of Sobolev type inequalities.
London Mathematical Society Lecture Notes Series 289, Cambridge University Press, 2002.
68. Dirichlet heat kernel in the exterior of a compact set.
Comunnications on Pure and Applied Mathematics 55, 2002, 93-133. With A. Grygor’yan.
69. Gaussian bounds for derivatives of central Gaussian semigroups on compact groups.
Transactions of the Americam Mathematical Society 354 2002, 1279-1298. With A.
Bendikov.
70. Hitting probabilities for Brownian motion on Riemannian manifolds.
Journal de Mathématiques Pures et Appliquées 81, 2002, 115-142. With A. Grigor’yan.
71. On random walks on wreath products.
The Annals of Probability 30, 2002, 948-977. With C. Pittet.
72. Some dichotomy results for central Gaussian convolution semigroups on compact groups.
Probability Theory and Related Fields 124, 2002, 561-573.
73. Random walks on abelian-by-cyclic groups.
Proceedings of the American Mathematical Society 131, 2002, 1071-1079. With C.
Pittet.
74. Invariant local Dirichlet forms on locally compact groups.
Annales de la Faculté des Sciences de Toulouse 11, 2002, 303–349. With A. Bendikov.
75. On the hypoellipticity of sub-Laplacians on infinite dimensional compact groups.
Forum Mathematicum 15, 2003, 135-163. With A. Bendikov.
76. On the sample paths of Brownian motions on compact infinite dimensional groups.
The Annals of Probability 31, 2003, 1464-1493. With A. Bendikov.
77. Random walks on finite rank solvable groups.
Journal of the European Mathematical Society 5, 2003, 313–342. With Ch. Pittet.
78. Brownian motions on compact groups in infinite dimension.
In Heat kernels and analysis on manifolds, graphs, and metric spaces (Paris, 2002),
41–63, Contemp. Math., 338, Amer. Math. Soc., Providence, RI, 2003. With A. Bendikov.
79. Central Gaussian convolution semigroups on compact groups: a survey.
Infinite Dimensional Analysis, Quantum Probability and Related Topics 6, 2003,
629–659. With A. Bendikov.
80. Total variation lower bounds for finite Markov chains: Wilson’s Lemma.
In Random walks and Geometry, 515–532, Walter de Gruyter GmbH & Co. KG, Berlin.
2004.
81. Random walks on finite groups.
In Probability on discrete structures, 263–346, Encyclopaedia Math. Sci., 110, Springer,
Berlin, 2004. (H. Kesten, ed.)
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82. On the sample paths of diagonal Brownian motions on the infinite dimensional torus.
Annales de l’Institut Henri Poincaré, Proba. & Stat. 40, 2004, 227–254. With A.
Bendikov.
83. On the convergence to equilibrium of Brownian motion on compact simple Lie groups.
Journal of Geometric Analysis 14, 2004, 715–733.
84. Analysis on Riemannian co-compact covers.
Surveys in differential geometry. Vol. IX, 351–384, Int. Press, MA, 2004.
85. Spaces of smooth functions and distributions on infinite-dimensional compact groups.
Journal of Functional Analysis 218, 2005, 168–218. With A. Bendikov.
86. Stability results for Harnack inequalities.
Annales de l’Institut Fourier 55, 2005, 825–890. With A. Grigor’yan.
87. On the regularity of sample paths of sub-elliptic diffusions on manifolds.
Osaka Journal of Mathematics 42, 677–722, 2005. With A. Bendikov.
88. Hypoelliptic bi-invariant Laplacians on infinite dimensional compact groups.
Canad. J. Math. 58, 691–725, 2006. With A. Bendikov.
89. Separation cut-offs for birth and death chains.
The Annals of Applied Probability 16, 2098–2122, 2006. With Persi Diaconis.
90. Ultracontractivity and embedding into L∞ .
Mathematische Annalen 337, 817–853, 2007. With A. Bendikov and T. Coulhon.
91. Transition operators on co-compact G-spaces.
Rev. Mat. Iberoamericana 22, 747–799, 2006. With W. Woess.
92. Connected Lie groups with property RD.
Duke Math. Journal 137, 511–536, 2007. With I. Chatterji and C. Pittet.
93. Convergence of some time inhomogeneous Markov chains via spectral techniques.
Stochastic Processes and their Applications, 117, 961–979, 2007. With J. Zúñiga.
94. The cutoff phenomenon for ergodic Markov processes.
Electron. J. Probab. 13 26–78, 2008. With Guan-Yu Chen.
95. Weak uncertainty principle for fractals, graphs and metric measure spaces.
Trans. Amer. Math. Soc. 360, 3857–3873, 2008. With K. Okoudjou and A. Teplayev.
96. The cutoff phenomenon for randomized riffle shuffles.
Random Structures Algorithms 32, 346–374, 2008. With Guan-Yu Chen.
97. Cross curvature flow on locally homogenous three-manifolds. I.
Pacific J. Math. 236, 263–281, 2008. With Xiaodong Cao.
98. Gibbs sampling, exponential families and orthogonal polynomials.
Statist. Sci. 23, 151–178, 2008. With P. Diaconis and K. Khare.
99. Small time heat kernel behavior on Riemannian complexes.
New York J. Math. 14, 459–494, 2008. With M. Pivarski.
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100. Refined estimates for some basic random walks on the symmetric and alternating groups.
ALEA Lat. Am. J. Probab. Math. Stat. 4, 359–392, 2008. With J. Zúñiga.
101. The logarithmic Sobolev constant of some finite Markov chains.
Ann. Fac. Sci. Toulouse Math. 6, 239–290, 2008. With G-Y. Chen and W.W. Liu.
102. Surjectivity of the Taylor map for complex nilpotent Lie groups.
Math. Proc. Cambridge Philos. Soc. 146, 177–195, 2009. With B. Driver and L. Gross.
103. Computations of spectral radii on G-spaces.
In Spectral analysis in geometry and number theory, 195–218, Contemp. Math., 484,
Amer. Math. Soc., Providence, RI, 2009. With W. Woess.
104. Merging for time inhomogeneous finite Markov chains. I. Singular values and stability.
Electron. J. Probab. 14, 1456–1494, 2009. With J. Zúñiga.
105. Backward Ricci flow on locally homogeneous 3-manifolds.
Comm. Anal. Geom. 17, 305–325, 2009. With Xiadong Cao.
106. Sobolev inequalities in familiar and unfamiliar settings.
In Sobolev spaces in mathematics. I, 299–343, Int. Math. Ser. (N. Y.), 8, Springer, New
York, 2009. Holomorphic functions and subelliptic heat kernels over Lie groups.
107. Holomorphic functions and subelliptic heat kernels over Lie groups.
J. Eur. Math. Soc. (JEMS) 11, 941–978, 2009. With B. Driver and L. Gross.
108. Heat kernel on manifolds with ends.
Ann. Inst. Fourier (Grenoble) 59, 1917–1997, 2009.
109. The Backward Behavior of the Ricci and Cross Curvature Flows on SL(2, R)
Comm. Anal. Geom., Vol. 17, 777–796, 2009. With Xiadong Cao and J. Guckenheimer.
110. Cross curvature flow on locally homogeneous three-manifolds (II)
Asian J. Math. 13 421–458, 2009. With Xiadong Cao.
111. The L2 -cutoff for reversible Markov processes.
J. Funct. Anal. 258 2246–2315, 2010. With Guan-Yu Chen.
112. Analysis on compact Lie groups of large dimension and on connected compact groups.
Colloq. Math. 118 183–199, 2010.
113. The heat kernel and its estimates.
Adv. Stud. Pure Math. 57 Probabilistic approach to geometry. 405–436, 2010.
114. Pseudo-Poincaré inequalities and applications to Sobolev inequalities.
In Around the research of Vladimir Maz’ya. I, 349–372, Int. Math. Ser. (N. Y.), 11,
Springer, New York, 2010,
115. Time inhomogeneous Markov chains with wave-like behavior.
Ann. Appl. Probab. 20 1831–1853, 2010. With J. Zúñiga.
116. Growth of Taylor coefficients over coomplex homogeneous spaces.
Tohoku Math. J. 62 427–474, 2010. With B. Driver and L. Gross.
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117. Gibbs sampling, conjugate priors and coupling.
Sankhya A 72 136–169, 2010. With P. Diaconis and K. Khare.
118. Stochastic alternating projections.
Illinois J. Math. 54 (2010), no. 3, 963–979. With P. Diaconis and K. Khare.
119. The heat semigroup and Brownian motion on strip complexes.
Advances in Mathematics 226 992–1055, 2011. With A. Bendikov, M. Salvatori and W.
Woess.
120. Merging for inhomogeneous finite Markov chains, Part II: Nash and log-Sobolev inequalities.
Ann. Probab. 39 1161–1203. With J. Zúñiga.
121. Neumann and Dirichlet heat kernels in inner uniform domains. Astérisque No. 336,
Société Mathématique de France (2011). With P. Gyrya.
122. Merging and stability for time inhomogeneous finite Markov chains.
Surveys in stochastic processes, 127–151, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich,
2011. With J. Zúñiga.
123. A geometric criterion for the boundedness of characteristic classes.
Math. Ann. 351 (2011), no. 3, 541–569. With I. Chatterji, G. Mislin and C. Pittet.
124. Random walks on groups and discrete subordination.
Math. Nachr. 285 (2012), no. 5-6, 580–605. With A. Bendikov.
125. Random walks driven by low moment measures
Annals of Probab. 40 (2012) 2539–2588. With A. Bendikov.
126. On the mixing time and spectral gap for birth and death chains.
ALEA Lat. Am. J. Probab. Math. Stat. 10 (2013), 293–321. With G.Y. Chen.
127. Discrete/continuous elliptic Harnack inequality and kernel estimates for functions of the Laplacian on a graph.
New York J. Math. 19 (2013), 487–509. With M. Cerenzia.
128. Large deviations for stable like random walks on Zd with applications to random walks on wreath
products.
Electron. J. Probab. 18 (2013), no. 93, 1–35. With T. Zheng.
129. Comparison of cutoffs between lazy walks and Markovian semigroups.
Journal of Applied Probability 50 (2013) 943–959. With G-Y. Chen.
130. Widder’s representation theorem for symmetric local; Dirichlet spaces.
Journal of Theoretical Probability 27 (2014), 1178–1212 With N. Eldredge.
131. Spectral computations for birth and death chains.
Stochastic Process. Appl. 124 (2014), 848–882. With G.Y. Chen.
132. Convolution powers of complex functions on Z.
Math. Nachr. 287 (2014), 1106–1130. With P. Diaconis.
133. The Dirichlet heat kernel in inner uniform domains: local results, compact domains and nonsymmetric forms.
J. Functional Analysis 266 (2014), 4189–4235. With Janna Lierl.
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134. Scale-invariant boundary Harnack principle in inner uniform domains.
Osaka J. Math. 51 (2014), 619–656. With Janna Lierl.
135. Poincaré inequality: from remote balls to all balls.
Nonlinear Anal. 108 (2014), 161–172. With S. Tasena and S. Dhompongsa.
136. Harnack inequality under the change of metric.
Nonlinear Anal. 115 (2015), 89–102. With S. Tasena and S. Dhompongsa.
137. Random walks on free solvable groups.
Math. Z. 279 (2015), 811–848. With Tianyi Zheng.
138. On the Convolution Powers of Complex Functions on Z.
The Journal of Fourier Analysis and Applications 41 (2015) 754–798. With Evan Randles.
139. Computing cutoff times of birth and death chains.
Electron. J. Probab. 20 (2015), 47 pp. With G-Y. Chen.
140. Anomalous threshold behavior of long range random walks.
Electron. J. Probab. 20 (2015), 21 pp. With Mathav Murugan.
141. Transition probability estimates for long range random walks.
New York J. Math. 21 (2015), 723–757. With Mathav Murugan.
142. Brownian motion on treebolic space: escape to infinity.
Rev. Mat. Iberoam. 31 (2015), 935–976. With A. Bendikov, M. Salvatori and W. Woess.
143. Random walks on nilpotent groups driven by measures supported on powers of generators.
Groups, Geometry, and Dynamics, 9 (2015), 1047–1129. With Tianyi Zheng.
144. Surgery of the Faber–Krahn inequality and applications to heat kernel bounds.
Nonlinear Anal. 131 (2016), 243–272. With A. Grigor’yan.
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