Edit Profile (opens in new tab) Saloff-Coste, Laurent Compute Distance To: Compute Author ID: saloff-coste.laurent Published as: Saloff-Coste, Laurent; Saloff-Coste, L.; Saloff Coste, Laurent more...less Homepage: http://pi.math.cornell.edu/~lsc/lau.html External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 168 Publications since 1983, including 5 Books 3 Contributions as Editor Co-Authors: 44 Co-Authors with 135 Joint Publications 1,030 Co-Co-Authors all top 5 Co-Authors 35 single-authored 25 Bendikov, Alexander D. 20 Diaconis, Persi Warren 14 Coulhon, Thierry 9 Pittet, Christophe 8 Chen, Guanyu 8 Grigor’yan, Alexander Asaturovich 8 Zheng, Tianyi 7 Woess, Wolfgang 6 Zuniga, Jessica V. 4 Cao, Xiaodong 4 Gross, Leonard 4 Khare, Kshitij 4 Murugan, Mathav Kishore 4 Randles, Evan 3 Driver, Bruce K. 3 Eldredge, Nathaniel Gilbert Bartsch 3 Gordina, Masha 3 Kumagai, Takashi 3 Salvatori, Maura 3 Sturm, Karl-Theodor 2 Bakry, Dominique 2 Dhompongsa, Sompong 2 Hebisch, Waldemar 2 Holopainen, Ilkka 2 Houston-Edwards, Kelsey 2 Ishiwata, Satoshi 2 Ledoux, Michel 2 Lierl, Janna 2 Tasena, Santi 2 Varopoulos, Nicholas Theodore 1 Cerenzia, Mark 1 Chatterji, Indira 1 Chatterji, L. D. 1 Gordina, Maria 1 Guckenheimer, John M. 1 Gyrya, Pavel 1 Liu, Wai-Wai 1 Maheux, Patrick 1 Mislin, Guido 1 Ni, Yilong 1 Okoudjou, Kasso A. 1 Pivarski, Melanie 1 Stroock, Daniel W. 1 Teplyaev, Alexander all top 5 Serials 11 Comptes Rendus de l’Académie des Sciences. Série I 7 The Annals of Probability 6 Journal of Functional Analysis 6 Revista Matemática Iberoamericana 6 Electronic Journal of Probability 5 The Annals of Applied Probability 4 Annales de l’Institut Fourier 4 Transactions of the American Mathematical Society 4 Probability Theory and Related Fields 4 Geometric and Functional Analysis. GAFA 3 Bulletin des Sciences Mathématiques. Deuxième Série 3 Mathematische Annalen 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Theoretical Probability 3 The Journal of Geometric Analysis 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Potential Analysis 3 The New York Journal of Mathematics 3 Oberwolfach Reports 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Colloquium Mathematicum 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Osaka Journal of Mathematics 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Statistical Science 2 Forum Mathematicum 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Stochastic Processes and their Applications 2 Communications in Analysis and Geometry 2 Combinatorics, Probability and Computing 2 The Journal of Fourier Analysis and Applications 2 Journal of the European Mathematical Society (JEMS) 2 Cambridge Tracts in Mathematics 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Studia Mathematica 1 Arkiv för Matematik 1 Advances in Mathematics 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of Computer and System Sciences 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Tohoku Mathematical Journal. Second Series 1 Random Structures & Algorithms 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 Mathematical Research Letters 1 The Asian Journal of Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Astérisque 1 London Mathematical Society Lecture Note Series 1 Groups, Geometry, and Dynamics 1 Sankhyā. Series A all top 5 Fields 106 Probability theory and stochastic processes (60-XX) 41 Global analysis, analysis on manifolds (58-XX) 36 Abstract harmonic analysis (43-XX) 31 Partial differential equations (35-XX) 22 Operator theory (47-XX) 21 Topological groups, Lie groups (22-XX) 20 Potential theory (31-XX) 18 Differential geometry (53-XX) 15 Group theory and generalizations (20-XX) 13 Functional analysis (46-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Real functions (26-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 156 Publications have been cited 3,388 times in 2,039 Documents Cited by ▼ Year ▼ Analysis on Lie groups. Zbl 0813.22003Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 334 1992 Aspects of Sobolev-type inequalities. Zbl 0991.35002Saloff-Coste, Laurent 224 2002 A note on Poincaré, Sobolev, and Harnack inequalities. Zbl 0769.58054Saloff-Coste, L. 190 1992 Logarithmic Sobolev inequalities for finite Markov chains. Zbl 0867.60043Diaconis, P.; Saloff-Coste, L. 173 1996 Lectures on finite Markov chains. Zbl 0885.60061Saloff-Coste, Laurent 164 1997 Uniformly elliptic operators on Riemannian manifolds. Zbl 0735.58032Saloff-Coste, Laurent 120 1992 Comparison theorems for reversible Markov chains. Zbl 0799.60058Diaconis, Persi; Saloff-Coste, Laurent 118 1993 Sobolev inequalities in disguise. Zbl 0857.26006Bakry, D.; Coulhon, T.; Ledoux, M.; Saloff-Coste, L. 101 1995 Gaussian estimates for Markov chains and random walks on groups. Zbl 0776.60086Hebisch, W.; Saloff-Coste, L. 89 1993 Random walks on finite groups. Zbl 1049.60006Saloff-Coste, Laurent 72 2004 Comparison techniques for random walk on finite groups. Zbl 0790.60011Diaconis, Persi; Saloff-Coste, Laurent 71 1993 Neumann and Dirichlet heat kernels in inner uniform domains. Zbl 1222.58001Gyrya, Pavel; Saloff-Coste, Laurent 65 2011 Isoperimetricity for groups and manifolds. (Isopérimétrie pour les groupes et les variétés.) Zbl 0782.53066Coulhon, Thierry; Saloff-Coste, Laurent 63 1993 On the relation between elliptic and parabolic Harnack inequalities. Zbl 0988.58007Hebisch, Waldemar; Saloff-Coste, Laurent 63 2001 Gibbs sampling, exponential families and orthogonal polynomials. Zbl 1327.62058Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent 60 2008 Parabolic Harnack inequality for divergence form second order differential operators. Zbl 0840.31006Saloff-Coste, L. 51 1995 Analysis on geodesic balls of sub-elliptic operators. (Analyse sur les boules d’un opérateur sous-elliptique.) Zbl 0836.35106Maheux, P.; Saloff-Coste, L. 51 1995 Isometric Riemannian manifolds at infinity. (Variétés riemanniennes isométriques à l’infini.) Zbl 0845.58054Coulhon, Thierry; Saloff-Coste, Laurent 50 1995 Analysis and geometry on groups. Paperback reprint of the 1992 original. Zbl 1179.22009Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 48 2008 Nash inequalities for finite Markov chains. Zbl 0870.60064Diaconis, P.; Saloff-Coste, L. 48 1996 Stability results for Harnack inequalities. Zbl 1115.58024Grigor’yan, Alexander; Saloff-Coste, Laurent 47 2005 Analyse sur les groupes de Lie à croissance polynômiale. (Analysis on Lie groups of polynomial growth). Zbl 0715.43009Saloff-Coste, Laurent 42 1990 Separation cut-offs for birth and death chains. Zbl 1127.60081Diaconis, Persi; Saloff-Coste, Laurent 36 2006 What do we know about the Metropolis algorithm? Zbl 0920.68054Diaconis, P.; Saloff-Coste, L. 35 1998 Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems. Zbl 1005.58013Coulhon, T.; Holopainen, I.; Saloff-Coste, L. 35 2001 Opérateurs uniformément sous-elliptiques sur les groupes de Lie. (Uniformly sub-elliptic operators on Lie groups). Zbl 0734.58041Saloff-Coste, L.; Stroock, D. W. 33 1991 On random walks on wreath products. Zbl 1021.60004Pittet, C.; Saloff-Coste, L. 33 2002 Moderate growth and random walk on finite groups. Zbl 0795.60005Diaconis, P.; Saloff-Coste, L. 31 1994 Dirichlet heat kernel in the exterior of a compact set. Zbl 1037.58018Grigor’yan, Alexander; Saloff-Coste, Laurent 31 2002 The cutoff phenomenon for ergodic Markov processes. Zbl 1190.60007Chen, Guan-Yu; Saloff-Coste, Laurent 30 2008 On the stability of the behavior of random walks on groups. Zbl 0985.60043Pittet, Ch.; Saloff-Coste, L. 29 2000 The heat kernel and its estimates. Zbl 1201.58025Saloff-Coste, Laurent 26 2010 Puissances d’un opérateur régularisant. (Powers of a regularizing operator). Zbl 0709.47042Coulhon, Thierry; Saloff-Coste, Laurent 26 1990 Heat kernel on manifolds with ends. Zbl 1239.58016Grigor’yan, Alexander; Saloff-Coste, Laurent 25 2009 Amenable groups, isoperimetric profiles and random walks. Zbl 0934.43001Pittet, Christophe; Saloff-Coste, Laurent 23 1999 Precise estimates on the rate at which certain diffusions tend to equilibrium. Zbl 0815.60074Saloff-Coste, L. 20 1994 Hitting probabilities for Brownian motion on Riemannian manifolds. Zbl 1042.58022Grigor’yan, Alexander; Saloff-Coste, Laurent 20 2002 Bounds for Kac’s master equation. Zbl 0953.60098Diaconis, Persi; Saloff-Coste, Laurent 18 2000 Connected Lie groups and property RD. Zbl 1119.22006Chatterji, L.; Pittet, C.; Saloff-Coste, L. 16 2007 Backward Ricci flow on locally homogeneous 3-manifolds. Zbl 1184.53069Cao, Xiaodong; Saloff-Coste, Laurent 16 2009 Holomorphic functions and subelliptic heat kernels over Lie groups. Zbl 1193.32023Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent 16 2009 The Dirichlet heat kernel in inner uniform domains: local results, compact domains and non-symmetric forms. Zbl 1295.35240Lierl, Janna; Saloff-Coste, Laurent 16 2014 Random walks on groups and discrete subordination. Zbl 1251.60004Bendikov, A.; Saloff-Coste, L. 15 2012 On- and off-diagonal heat kernel behaviors on certain infinite dimensional local Dirichlet spaces. Zbl 0969.31008Bendikov, A.; Saloff-Coste, L. 15 2000 Walks on generating sets of Abelian groups. Zbl 0847.60081Diaconis, P.; Saloff-Coste, L. 15 1996 Probability on groups: Random walks and invariant diffusions. Zbl 0987.60018Saloff-Coste, Laurent 14 2001 Random walks on finite rank solvable groups. Zbl 1057.20026Pittet, Ch.; Saloff-Coste, L. 14 2003 Convergence of some time inhomogeneous Markov chains via spectral techniques. Zbl 1124.60057Saloff-Coste, L.; Zúñiga, J. 13 2007 An application of Harnack inequalities to random walk on nilpotent quotients. Zbl 0889.60008Diaconis, Persi; Saloff-Coste, Laurent 13 1995 Central Gaussian semigroups of measures with continuous density. Zbl 0989.43002Bendikov, A.; Saloff-Coste, L. 13 2001 Sobolev inequalities in familiar and unfamiliar settings. Zbl 1165.26011Saloff-Coste, Laurent 13 2009 Merging for time inhomogeneous finite Markov chains. I: Singular values and stability. Zbl 1195.60099Saloff-Coste, Laurent; Zuniga, Jessica V. 12 2009 Random walks on finite groups: A survey of analytic techniques. Zbl 0918.60059Diaconis, P.; Saloff-Coste, L. 12 1995 Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below. Zbl 0816.53027Saloff-Coste, L. 12 1994 Walks on generating sets of groups. Zbl 0921.60003Diaconis, P.; Saloff-Coste, L. 12 1998 Heat kernel on connected sums of Riemannian manifolds. Zbl 0957.58023Grigor’yan, Alexander; Saloff-Coste, Laurent 11 1999 The backward behavior of the Ricci and cross-curvature flows on SL\((2,\mathbb{R})\). Zbl 1198.53068Cao, Xiaodong; Guckenheimer, John; Saloff-Coste, Laurent 11 2009 Refined estimates for some basic random walks on the symmetric and alternating groups. Zbl 1171.60008Saloff-Coste, L.; Zúñiga, J. 10 2008 Surgery of the Faber-Krahn inequality and applications to heat kernel bounds. Zbl 1334.58019Grigor’yan, Alexander; Saloff-Coste, Laurent 10 2016 Opérateurs pseudo-différentiels sur certains groupes totalement discontinus. Zbl 0563.35085Saloff-Coste, L. 10 1986 Analysis on Riemannian co-compact covers. Zbl 1082.31006Saloff-Coste, Laurent 10 2004 Ultracontractivity and embedding into \(L^\infty\). Zbl 1132.47031Bendikov, A.; Coulhon, T.; Saloff-Coste, L. 9 2007 Elliptic diffusions on infinite products. Zbl 0887.58061Bendikov, A.; Saloff-Coste, L. 9 1997 On global Sobolev inequalities. Zbl 0802.58055Saloff-Coste, L. 9 1994 Random walk and isoperimetry on discrete subgroups of Lie groups. Zbl 0957.60009Pittet, Christophe; Saloff-Coste, Laurent 9 1999 Théorèmes de Sobolev et inégalités de Trudinger sur certains groupes de Lie. (Sobolev theorems and Trudinger inequalities on some Lie groups). Zbl 0661.43005Saloff-Coste, Laurent 8 1988 On the absolute continuity of Gaussian measures on locally compact groups. Zbl 0997.43002Bendikov, A.; Saloff-Coste, L. 8 2001 Heat kernel estimates for anomalous heavy-tailed random walks. Zbl 1466.60144Murugan, Mathav; Saloff-Coste, Laurent 8 2019 Time inhomogeneous Markov chains with wave-like behavior. Zbl 1206.60067Saloff-Coste, L.; Zúñiga, J. 8 2010 Total variation lower bounds for finite Markov chains: Wilson’s lemma. Zbl 1067.60066Saloff-Coste, Laurent 8 2004 Isoperimetric inequalities and decay of iterated kernels for almost-transitive Markov chains. Zbl 0842.60070Saloff-Coste, L. 8 1995 Gibbs sampling, conjugate priors and coupling. Zbl 1209.60042Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent 8 2010 Merging for inhomogeneous finite Markov chains. II: Nash and log-Sobolev inequalities. Zbl 1217.60063Saloff-Coste, L.; Zúñiga, J. 8 2011 Comparison of cutoffs between lazy walks and Markovian semigroups. Zbl 1288.60088Chen, Guan-Yu; Saloff-Coste, Laurent 8 2013 Cross curvature flow on locally homogeneous three-manifolds. I. Zbl 1152.53053Cao, Xiaodong; Ni, Yilong; Saloff-Coste, Laurent 8 2008 Merging and stability for time inhomogeneous finite Markov chains. Zbl 1235.60090Saloff-Coste, Laurent; Zúñiga, Jessica 7 2011 Lower bounds for one-dimensional Markov chains. (Minorations pour les chaînes de Markov unidimensionnelles.) Zbl 0792.60063Coulhon, Th.; Saloff-Coste, L. 7 1993 The \(L^{2}\)-cutoff for reversible Markov processes. Zbl 1192.60088Chen, Guan-Yu; Saloff-Coste, Laurent 7 2010 Weak uncertainty principle for fractals, graphs and metric measure spaces. Zbl 1153.28007Okoudjou, Kasso A.; Saloff-Coste, Laurent; Teplyaev, Alexander 7 2008 Scale-invariant boundary Harnack principle in inner uniform domains. Zbl 1301.31008Lierl, Janna; Saloff-Coste, Laurent 7 2014 Small time heat kernel behavior on Riemannian complexes. Zbl 1191.26005Pivarski, Melanie; Saloff-Coste, Laurent 7 2008 Random walks and isoperimetric profiles under moment conditions. Zbl 1378.60019Saloff-Coste, Laurent; Zheng, Tianyi 7 2016 Davies’ method for anomalous diffusions. Zbl 1360.60152Murugan, Mathav; Saloff-Coste, Laurent 7 2017 Marches aléatoires non symétriques sur les groupes unimodulaires. (Non-symmetric random walks on unimodular groups). Zbl 0748.60008Coulhon, Thierry; Saloff-Coste, Laurent 6 1990 Transition operators on co-compact \(G\)-spaces. Zbl 1116.22007Saloff-Coste, Laurent; Woess, Wolfgang 6 2006 Some inequalities for superharmonic functions on graphs. Zbl 0874.31006Saloff-Coste, Laurent 6 1997 Stochastic alternating projections. Zbl 1268.60098Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent 6 2010 Potential theory on infinite products and locally compact groups. Zbl 0953.47029Bendikov, A.; Saloff-Coste, L. 6 1999 What do we know about the Metropolis algorithm? Zbl 0922.60070Diaconis, Persi; Saloff-Coste, Laurent 6 1995 Cross curvature flow on locally homogeneous three-manifolds. II. Zbl 1193.53142Cao, Xiaodong; Saloff-Coste, Laurent 6 2009 Convolution powers of complex functions on \(\mathbb Z\). Zbl 1304.42018Diaconis, Persi; Saloff-Coste, Laurent 6 2014 Potential theory on infinite products and locally compact groups. (Théorie du potentiel sur les produits infinis et les groupes localement compacts.) Zbl 0871.31007Bendikov, A.; Saloff-Coste, L. 5 1997 Heat kernel estimates on connected sums of parabolic manifolds. Zbl 1388.35078Grigor’yan, Alexander; Ishiwata, Satoshi; Saloff-Coste, Laurent 5 2018 Pseudo-Poincaré inequalities and applications to Sobolev inequalities. Zbl 1194.46054Saloff-Coste, Laurent 5 2010 Surjectivity of the Taylor map for complex nilpotent Lie groups. Zbl 1158.22007Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent 5 2009 On the mixing time and spectral gap for birth and death chains. Zbl 1297.60049Chen, Guan-Yu; Saloff-Coste, Laurent 5 2013 Random walks on free solvable groups. Zbl 1368.20064Saloff-Coste, Laurent; Zheng, Tianyi 5 2015 Transition probability estimates for long range random walks. Zbl 1326.60061Murugan, Mathav; Saloff-Coste, Laurent 5 2015 Isoperimetric profiles and random walks on some permutation wreath products. Zbl 1434.20029Saloff-Coste, Laurent; Zheng, Tianyi 4 2018 Sur la décroissance des puissance de convolution sur les groupes. (On the decreasing of convolution powers on groups). Zbl 0682.43004Saloff Coste, Laurent 4 1989 Analytic-geometric methods for finite Markov chains with applications to quasi-stationarity. Zbl 1456.60176Diaconis, Persi; Houston-Edwards, Kelsey; Saloff-Coste, Laurent 2 2020 Heat kernel estimates for anomalous heavy-tailed random walks. Zbl 1466.60144Murugan, Mathav; Saloff-Coste, Laurent 8 2019 Heat kernel estimates on connected sums of parabolic manifolds. Zbl 1388.35078Grigor’yan, Alexander; Ishiwata, Satoshi; Saloff-Coste, Laurent 5 2018 Isoperimetric profiles and random walks on some permutation wreath products. Zbl 1434.20029Saloff-Coste, Laurent; Zheng, Tianyi 4 2018 Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups. Zbl 1394.35532Eldredge, Nathaniel; Gross, Leonard; Saloff-Coste, Laurent 3 2018 Left-invariant geometries on \(\operatorname{SU}(2)\) are uniformly doubling. Zbl 1407.53034Eldredge, Nathaniel; Gordina, Maria; Saloff-Coste, Laurent 2 2018 Davies’ method for anomalous diffusions. Zbl 1360.60152Murugan, Mathav; Saloff-Coste, Laurent 7 2017 Positive-homogeneous operators, heat kernel estimates and the Legendre-Fenchel transform. Zbl 1409.35061Randles, Evan; Saloff-Coste, Laurent 2 2017 Convolution powers of complex functions on \(\mathbb{Z}^d\). Zbl 1377.42012Randles, Evan; Saloff-Coste, Laurent 2 2017 Random walks on some countable groups. Zbl 1373.60011Bendikov, Alexander; Saloff-Coste, Laurent 1 2017 On some random walks driven by spread-out measures. Zbl 1404.20034Saloff-Coste, Laurent; Zheng, Tianyi 1 2017 Surgery of the Faber-Krahn inequality and applications to heat kernel bounds. Zbl 1334.58019Grigor’yan, Alexander; Saloff-Coste, Laurent 10 2016 Random walks and isoperimetric profiles under moment conditions. Zbl 1378.60019Saloff-Coste, Laurent; Zheng, Tianyi 7 2016 Brownian motion on treebolic space: positive harmonic functions. (Mouvement Brownien sur l’espace arbolique : fonctions harmoniques positives.) Zbl 1360.31008Bendikov, Alexander; Saloff-Coste, Laurent; Salvatori, Maura; Woess, Wolfgang 1 2016 Random walks on free solvable groups. Zbl 1368.20064Saloff-Coste, Laurent; Zheng, Tianyi 5 2015 Transition probability estimates for long range random walks. Zbl 1326.60061Murugan, Mathav; Saloff-Coste, Laurent 5 2015 Computing cutoff times of birth and death chains. Zbl 1321.60141Chen, Guan-Yu; Saloff-Coste, Laurent 4 2015 On the convolution powers of complex functions on \(\mathbb{Z}\). Zbl 1347.42011Randles, Evan; Saloff-Coste, Laurent 3 2015 Random walks on nilpotent groups driven by measures supported on powers of generators. Zbl 1364.20018Saloff-Coste, Laurent; Zheng, Tianyi 2 2015 Anomalous threshold behavior of long range random walks. Zbl 1321.60090Murugan, Mathav Kishore; Saloff-Coste, Laurent 2 2015 Brownian motion on treebolic space: escape to infinity. Zbl 1370.60137Bendikov, Alexander; Saloff-Coste, Laurent; Salvatori, Maura; Woess, Wolfgang 2 2015 Random walks under slowly varying moment conditions on groups of polynomial volume growth. Zbl 1333.60090Saloff-Coste, Laurent; Zheng, Tianyi 1 2015 The Dirichlet heat kernel in inner uniform domains: local results, compact domains and non-symmetric forms. Zbl 1295.35240Lierl, Janna; Saloff-Coste, Laurent 16 2014 Scale-invariant boundary Harnack principle in inner uniform domains. Zbl 1301.31008Lierl, Janna; Saloff-Coste, Laurent 7 2014 Convolution powers of complex functions on \(\mathbb Z\). Zbl 1304.42018Diaconis, Persi; Saloff-Coste, Laurent 6 2014 Widder’s representation theorem for symmetric local Dirichlet spaces. Zbl 1304.31008Eldredge, Nathaniel; Saloff-Coste, Laurent 3 2014 Poincaré inequality: from remote balls to all balls. Zbl 1300.58004Tasena, Santi; Saloff-Coste, Laurent; Dhompongsa, Sompong 1 2014 Spectral computations for birth and death chains. Zbl 1320.60142Chen, Guan-Yu; Saloff-Coste, Laurent 1 2014 Comparison of cutoffs between lazy walks and Markovian semigroups. Zbl 1288.60088Chen, Guan-Yu; Saloff-Coste, Laurent 8 2013 On the mixing time and spectral gap for birth and death chains. Zbl 1297.60049Chen, Guan-Yu; Saloff-Coste, Laurent 5 2013 Discrete/continuous elliptic Harnack inequality and kernel estimates for functions of the Laplacian on a graph. Zbl 1280.35004Cerenzia, Mark; Saloff-Coste, Laurent 2 2013 Large deviations for stable like random walks on \(\mathbb Z^d\) with applications to random walks on wreath products. Zbl 1303.60012Saloff-Coste, Laurent; Zheng, Tianyi 2 2013 Heat kernels, stochastic processes and functional inequalities. Abstracts from the workshop held May 5–11, 2013. Zbl 1349.00173 1 2013 Random walks on groups and discrete subordination. Zbl 1251.60004Bendikov, A.; Saloff-Coste, L. 15 2012 Random walks driven by low moment measures. Zbl 1262.60005Bendikov, Alexander; Saloff-Coste, Laurent 3 2012 Markov semigroups at Saint-Flour. Reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1581 (1994), 1648 (1996) and 1665 (1997). Zbl 1234.60007Bakry, Dominique; Ledoux, Michel; Saloff-Coste, Laurent 3 2012 Neumann and Dirichlet heat kernels in inner uniform domains. Zbl 1222.58001Gyrya, Pavel; Saloff-Coste, Laurent 65 2011 Merging for inhomogeneous finite Markov chains. II: Nash and log-Sobolev inequalities. Zbl 1217.60063Saloff-Coste, L.; Zúñiga, J. 8 2011 Merging and stability for time inhomogeneous finite Markov chains. Zbl 1235.60090Saloff-Coste, Laurent; Zúñiga, Jessica 7 2011 The heat semigroup and Brownian motion on strip complexes. Zbl 1228.60084Bendikov, Alexander; Saloff-Coste, Laurent; Salvatori, Maura; Woess, Wolfgang 4 2011 A geometric criterion for the boundedness of characteristic classes. Zbl 1241.57044Chatterji, Indira; Mislin, Guido; Pittet, Christophe; Saloff-Coste, Laurent 2 2011 The heat kernel and its estimates. Zbl 1201.58025Saloff-Coste, Laurent 26 2010 Time inhomogeneous Markov chains with wave-like behavior. Zbl 1206.60067Saloff-Coste, L.; Zúñiga, J. 8 2010 Gibbs sampling, conjugate priors and coupling. Zbl 1209.60042Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent 8 2010 The \(L^{2}\)-cutoff for reversible Markov processes. Zbl 1192.60088Chen, Guan-Yu; Saloff-Coste, Laurent 7 2010 Stochastic alternating projections. Zbl 1268.60098Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent 6 2010 Pseudo-Poincaré inequalities and applications to Sobolev inequalities. Zbl 1194.46054Saloff-Coste, Laurent 5 2010 Analysis on compact Lie groups of large dimension and on connected compact groups. Zbl 1189.22002Saloff-Coste, L. 2 2010 Growth of Taylor coefficients over complex homogeneous spaces. Zbl 1208.43002Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent 2 2010 Heat kernel on manifolds with ends. Zbl 1239.58016Grigor’yan, Alexander; Saloff-Coste, Laurent 25 2009 Backward Ricci flow on locally homogeneous 3-manifolds. Zbl 1184.53069Cao, Xiaodong; Saloff-Coste, Laurent 16 2009 Holomorphic functions and subelliptic heat kernels over Lie groups. Zbl 1193.32023Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent 16 2009 Sobolev inequalities in familiar and unfamiliar settings. Zbl 1165.26011Saloff-Coste, Laurent 13 2009 Merging for time inhomogeneous finite Markov chains. I: Singular values and stability. Zbl 1195.60099Saloff-Coste, Laurent; Zuniga, Jessica V. 12 2009 The backward behavior of the Ricci and cross-curvature flows on SL\((2,\mathbb{R})\). Zbl 1198.53068Cao, Xiaodong; Guckenheimer, John; Saloff-Coste, Laurent 11 2009 Cross curvature flow on locally homogeneous three-manifolds. II. Zbl 1193.53142Cao, Xiaodong; Saloff-Coste, Laurent 6 2009 Surjectivity of the Taylor map for complex nilpotent Lie groups. Zbl 1158.22007Driver, Bruce K.; Gross, Leonard; Saloff-Coste, Laurent 5 2009 Computation of spectral radii on \({\mathcal G}\)-spaces. Zbl 1171.43008Saloff-Coste, Laurent; Woess, Wolfgang 2 2009 Gibbs sampling, exponential families and orthogonal polynomials. Zbl 1327.62058Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent 60 2008 Analysis and geometry on groups. Paperback reprint of the 1992 original. Zbl 1179.22009Varopoulos, N. Th.; Saloff-Coste, L.; Coulhon, T. 48 2008 The cutoff phenomenon for ergodic Markov processes. Zbl 1190.60007Chen, Guan-Yu; Saloff-Coste, Laurent 30 2008 Refined estimates for some basic random walks on the symmetric and alternating groups. Zbl 1171.60008Saloff-Coste, L.; Zúñiga, J. 10 2008 Cross curvature flow on locally homogeneous three-manifolds. I. Zbl 1152.53053Cao, Xiaodong; Ni, Yilong; Saloff-Coste, Laurent 8 2008 Weak uncertainty principle for fractals, graphs and metric measure spaces. Zbl 1153.28007Okoudjou, Kasso A.; Saloff-Coste, Laurent; Teplyaev, Alexander 7 2008 Small time heat kernel behavior on Riemannian complexes. Zbl 1191.26005Pivarski, Melanie; Saloff-Coste, Laurent 7 2008 The cutoff phenomenon for randomized riffle shuffles. Zbl 1146.60010Chen, Guan-Yu; Saloff-Coste, Laurent 3 2008 Rejoinder: “Gibbs sampling, exponential families and orthogonal polynomials”. Zbl 1327.62059Diaconis, Persi; Khare, Kshitij; Saloff-Coste, Laurent 2 2008 The logarithmic Sobolev constant of some finite Markov chains. Zbl 1163.60319Chen, Guan-Yu; Liu, Wai-Wai; Saloff-Coste, Laurent 1 2008 Connected Lie groups and property RD. Zbl 1119.22006Chatterji, L.; Pittet, C.; Saloff-Coste, L. 16 2007 Convergence of some time inhomogeneous Markov chains via spectral techniques. Zbl 1124.60057Saloff-Coste, L.; Zúñiga, J. 13 2007 Ultracontractivity and embedding into \(L^\infty\). Zbl 1132.47031Bendikov, A.; Coulhon, T.; Saloff-Coste, L. 9 2007 Separation cut-offs for birth and death chains. Zbl 1127.60081Diaconis, Persi; Saloff-Coste, Laurent 36 2006 Transition operators on co-compact \(G\)-spaces. Zbl 1116.22007Saloff-Coste, Laurent; Woess, Wolfgang 6 2006 Hypoelliptic bi-invariant Laplacians on infinite dimensional compact groups. Zbl 1109.43004Bendikov, A.; Saloff-Coste, L. 4 2006 Stability results for Harnack inequalities. Zbl 1115.58024Grigor’yan, Alexander; Saloff-Coste, Laurent 47 2005 On the regularity of sample paths of sub-elliptic diffusions on manifolds. Zbl 1085.31007Bendikov, Alexander; Saloff-Coste, Laurent 3 2005 Spaces of smooth functions and distributions on infinite-dimensional compact groups. Zbl 1074.22001Bendikov, A.; Saloff-Coste, L. 3 2005 Random walks on finite groups. Zbl 1049.60006Saloff-Coste, Laurent 72 2004 Analysis on Riemannian co-compact covers. Zbl 1082.31006Saloff-Coste, Laurent 10 2004 Total variation lower bounds for finite Markov chains: Wilson’s lemma. Zbl 1067.60066Saloff-Coste, Laurent 8 2004 On the convergence to equilibrium of Brownian motion on compact simple Lie groups. Zbl 1059.43006Saloff-Coste, L. 4 2004 On the sample paths of diagonal Brownian motions on the infinite dimensional torus. Zbl 1056.60029Bendikov, A.; Saloff-Coste, L. 3 2004 Random walks on finite rank solvable groups. Zbl 1057.20026Pittet, Ch.; Saloff-Coste, L. 14 2003 On the hypoellipticity of sub-Laplacians on infinite dimensional compact groups. Zbl 1032.43004Bendikov, Alexandre; Saloff-Coste, Laurent 3 2003 Random walks on Abelian-by-cyclic groups. Zbl 1064.20074Pittet, Christophe; Saloff-Coste, Laurent 2 2003 Brownian motions on compact groups of infinite dimension. Zbl 1040.60006Bendikov, Alexander; Saloff-Coste, Laurent 2 2003 Central Gaussian convolution semigroups on compact groups: A survey. Zbl 1043.60068Bendikov, A.; Saloff-Coste, L. 2 2003 On the sample paths of Brownian motions on compact infinite dimensional groups. Zbl 1043.60064Bendikov, Alexander; Saloff-Coste, Laurent 1 2003 Aspects of Sobolev-type inequalities. Zbl 0991.35002Saloff-Coste, Laurent 224 2002 On random walks on wreath products. Zbl 1021.60004Pittet, C.; Saloff-Coste, L. 33 2002 Dirichlet heat kernel in the exterior of a compact set. Zbl 1037.58018Grigor’yan, Alexander; Saloff-Coste, Laurent 31 2002 Hitting probabilities for Brownian motion on Riemannian manifolds. Zbl 1042.58022Grigor’yan, Alexander; Saloff-Coste, Laurent 20 2002 Some dichotomy results for central Gaussian convolution semigroups on compact groups. Zbl 1041.28012Bendikov, A.; Saloff-Coste, L. 3 2002 Gaussian bounds for derivatives of central Gaussian semigroups on compact groups. Zbl 0989.60007Bendikov, A.; Saloff-Coste, L. 3 2002 Invariant local Dirichlet forms on locally compact groups. Zbl 1048.60061Bendikov, Alexander; Saloff-Coste, Laurent 2 2002 On the relation between elliptic and parabolic Harnack inequalities. Zbl 0988.58007Hebisch, Waldemar; Saloff-Coste, Laurent 63 2001 Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems. Zbl 1005.58013Coulhon, T.; Holopainen, I.; Saloff-Coste, L. 35 2001 Probability on groups: Random walks and invariant diffusions. Zbl 0987.60018Saloff-Coste, Laurent 14 2001 Central Gaussian semigroups of measures with continuous density. Zbl 0989.43002Bendikov, A.; Saloff-Coste, L. 13 2001 On the absolute continuity of Gaussian measures on locally compact groups. Zbl 0997.43002Bendikov, A.; Saloff-Coste, L. 8 2001 ...and 56 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,936 Authors 77 Saloff-Coste, Laurent 42 Diaconis, Persi Warren 27 Grigor’yan, Alexander Asaturovich 25 Coulhon, Thierry 25 Peres, Yuval 20 Bendikov, Alexander D. 20 Kumagai, Takashi 19 Duong, Xuan Thinh 16 Caputo, Pietro 16 Franchi, Bruno 16 Yang, Dachun 15 Chen, Zhen-Qing 15 Martinelli, Fabio 15 Sikora, Adam S. 15 Yan, Lixin 14 Baudoin, Fabrice 14 Lanconelli, Ermanno 14 Li, Hongquan 14 Wang, Feng-Yu 13 Barlow, Martin T. 13 Mustapha, Sami 13 Zhang, Qi-Shuhuason 12 Carron, Gilles 12 Lubetzky, Eyal 12 Miclo, Laurent 11 Chen, Mu-Fa 11 Hermon, Jonathan 11 Robinson, Derek W. 11 Tetali, Prasad 11 The Anh Bui 11 Woess, Wolfgang 10 Bonfiglioli, Andrea 10 Garofalo, Nicola 10 Hobert, James P. 10 Hu, Jiaxin 10 Jiang, Renjin 10 Khare, Kshitij 10 Kozma, Gady 10 Martini, Alessio 10 Ouhabaz, El Maati 10 Pittet, Christophe 10 ter Elst, Antonius Frederik Maria 10 Vallarino, Maria 10 Wang, Jian 10 Zheng, Tianyi 9 Bernicot, Frédéric 9 Chen, Guanyu 9 Driver, Bruce K. 9 Erschler, Anna 9 Gordina, Maria 9 Grillo, Gabriele 9 Hua, Bobo 9 Li, Ji 9 Mao, Yonghua 9 Shanmugalingam, Nageswari 9 Sly, Allan 9 Uguzzoni, Francesco 9 Zegarlinski, Boguslaw 8 Ceccon, Jurandir 8 Chen, Peng 8 Citti, Giovanna 8 Deuschel, Jean-Dominique 8 Dyer, Martin E. 8 Eldredge, Nathaniel Gilbert Bartsch 8 Koskela, Pekka 8 Liu, Yu 8 Morbidelli, Daniele 8 Murugan, Mathav Kishore 8 Nestoridi, Evita 8 Slowik, Martin 8 Teplyaev, Alexander 8 Vigoda, Eric 8 Zhou, Yuan 7 Andres, Sebastian 7 Auscher, Pascal 7 Badr, Nadine 7 Bakry, Dominique 7 Bass, Richard F. 7 Dungey, Nick 7 de Lima, Henrique F. 7 Fulman, Jason E. 7 Holopainen, Ilkka 7 Lu, Guozhen 7 Meda, Stefano 7 Pankka, Pekka 7 Roberto, Cyril 7 Setti, Alberto G. 6 Barrera, Gerardo 6 Benjamini, Itai 6 Capogna, Luca 6 Choi, Michael C. H. 6 Cowling, Michael G. 6 Devyver, Baptiste 6 Jerrum, Mark R. 6 Kassmann, Moritz 6 Kasue, Atsushi 6 Ledoux, Michel 6 Lee, Yong Hah 6 Li, Pengtao 6 Lohoué, Noël ...and 1,836 more Authors all top 5 Cited in 320 Serials 152 Journal of Functional Analysis 73 Potential Analysis 70 The Annals of Probability 67 Probability Theory and Related Fields 65 The Annals of Applied Probability 62 Transactions of the American Mathematical Society 47 The Journal of Geometric Analysis 43 Mathematische Zeitschrift 41 Journal of Theoretical Probability 38 Proceedings of the American Mathematical Society 38 Stochastic Processes and their Applications 36 Advances in Mathematics 36 Mathematische Annalen 35 Journal of Mathematical Analysis and Applications 30 Annales de l’Institut Fourier 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Revista Matemática Iberoamericana 27 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 25 Calculus of Variations and Partial Differential Equations 21 Journal of Mathematical Physics 21 Journal of Differential Equations 21 Electronic Journal of Probability 20 Communications in Mathematical Physics 19 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 18 Duke Mathematical Journal 17 Journal of Statistical Physics 15 Manuscripta Mathematica 15 Acta Mathematica Sinica. English Series 14 Journal d’Analyse Mathématique 14 Random Structures & Algorithms 14 Communications in Partial Differential Equations 14 Bernoulli 13 Statistics & Probability Letters 13 Journal of Mathematical Sciences (New York) 13 Bulletin des Sciences Mathématiques 12 Journal of the Mathematical Society of Japan 11 Forum Mathematicum 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Mathematische Nachrichten 10 Tohoku Mathematical Journal. Second Series 10 Geometric and Functional Analysis. GAFA 10 Communications in Contemporary Mathematics 9 Communications on Pure and Applied Mathematics 9 Israel Journal of Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Memoirs of the American Mathematical Society 9 Annals of Global Analysis and Geometry 9 Combinatorics, Probability and Computing 9 Electronic Communications in Probability 8 Inventiones Mathematicae 8 Journal of Algebra 8 Advances in Applied Mathematics 8 Science in China. Series A 8 Differential Geometry and its Applications 8 The Journal of Fourier Analysis and Applications 7 Archive for Rational Mechanics and Analysis 7 Bulletin of the Australian Mathematical Society 7 Arkiv för Matematik 7 Journal of Applied Probability 7 Journal für die Reine und Angewandte Mathematik 7 Annales Mathématiques Blaise Pascal 7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 7 Journal of Evolution Equations 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 6 The Annals of Statistics 6 Theoretical Computer Science 6 Statistical Science 6 Journal of the American Mathematical Society 6 SIAM Journal on Discrete Mathematics 6 International Journal of Algebra and Computation 6 ALEA. Latin American Journal of Probability and Mathematical Statistics 6 Frontiers of Mathematics in China 6 Annales Henri Lebesgue 5 Journal of Geometry and Physics 5 Acta Mathematica 5 Geometriae Dedicata 5 Acta Applicandae Mathematicae 5 Linear Algebra and its Applications 5 Bulletin of the American Mathematical Society. New Series 5 Discrete and Continuous Dynamical Systems 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Annals of Mathematics. Second Series 5 Journal of the European Mathematical Society (JEMS) 5 Milan Journal of Mathematics 5 Groups, Geometry, and Dynamics 4 Advances in Applied Probability 4 Applicable Analysis 4 Discrete Mathematics 4 Mathematical Notes 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Archiv der Mathematik 4 Compositio Mathematica 4 Journal of Computational and Applied Mathematics 4 Monatshefte für Mathematik 4 Nagoya Mathematical Journal 4 Osaka Journal of Mathematics 4 Semigroup Forum 4 Annales Henri Poincaré 4 Journal of the Australian Mathematical Society ...and 220 more Serials all top 5 Cited in 58 Fields 862 Probability theory and stochastic processes (60-XX) 474 Partial differential equations (35-XX) 352 Global analysis, analysis on manifolds (58-XX) 269 Differential geometry (53-XX) 234 Operator theory (47-XX) 220 Functional analysis (46-XX) 195 Abstract harmonic analysis (43-XX) 188 Combinatorics (05-XX) 179 Harmonic analysis on Euclidean spaces (42-XX) 168 Potential theory (31-XX) 167 Topological groups, Lie groups (22-XX) 147 Statistical mechanics, structure of matter (82-XX) 126 Group theory and generalizations (20-XX) 80 Real functions (26-XX) 71 Numerical analysis (65-XX) 58 Dynamical systems and ergodic theory (37-XX) 55 Statistics (62-XX) 54 Measure and integration (28-XX) 52 Computer science (68-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 41 Functions of a complex variable (30-XX) 36 Quantum theory (81-XX) 31 Several complex variables and analytic spaces (32-XX) 28 Difference and functional equations (39-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 24 Information and communication theory, circuits (94-XX) 23 Special functions (33-XX) 21 Ordinary differential equations (34-XX) 21 Convex and discrete geometry (52-XX) 18 Number theory (11-XX) 15 Manifolds and cell complexes (57-XX) 15 Biology and other natural sciences (92-XX) 11 Geometry (51-XX) 11 Operations research, mathematical programming (90-XX) 10 Algebraic geometry (14-XX) 10 Fluid mechanics (76-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Associative rings and algebras (16-XX) 7 Approximations and expansions (41-XX) 6 Integral equations (45-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Integral transforms, operational calculus (44-XX) 5 General topology (54-XX) 4 General and overarching topics; collections (00-XX) 4 Field theory and polynomials (12-XX) 4 Mechanics of deformable solids (74-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Mathematical logic and foundations (03-XX) 3 Nonassociative rings and algebras (17-XX) 3 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Algebraic topology (55-XX) 2 Relativity and gravitational theory (83-XX) 1 \(K\)-theory (19-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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