Laurent Saloff-Coste

Laurent Saloff-Coste's AcademicInfluence.com Rankings

Mathematics

#4091

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#5886

Historical Rank

Probability Theory

#71

World Rank

#93

Historical Rank

Measure Theory

#1981

World Rank

#2407

Historical Rank

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Mathematics

Why Is Laurent Saloff-Coste Influential?

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According to Wikipedia, Laurent Saloff-Coste is a French mathematician whose research is in Analysis, Probability theory, and Geometric group theory. Saloff-Coste received his "doctorat de 3eme cycle" in 1983 at the Pierre and Marie Curie University, Paris VI. He completed his "Doctorat d'Etat" in 1989 under Nicholas Varopoulos. In the 1990s, he worked as "Directeur de Recherche" at Paul Sabatier University in Toulouse. Since 1998, he is a professor of Mathematics at Cornell University in Ithaca, New York, where he was chair from 2009 to 2015.

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Laurent Saloff-Coste's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Analysis and Geometry on Groups (1993) (969)
Aspects of Sobolev-type inequalities (2001) (544)
LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS (1996) (491)
A note on Poincaré, Sobolev, and Harnack inequalities (1992) (489)
Lectures on finite Markov chains (1997) (437)
COMPARISON THEOREMS FOR REVERSIBLE MARKOV CHAINS (1993) (426)
RANDOM WALKS ON INFINITE GRAPHS AND GROUPS (Cambridge Tracts in Mathematics 138) (2001) (365)
GAUSSIAN ESTIMATES FOR MARKOV CHAINS AND RANDOM WALKS ON GROUPS (1993) (254)
Comparison Techniques for Random Walk on Finite Groups (1993) (251)
Sobolev inequalities in disguise (1995) (236)
Random Walks on Finite Groups (2004) (196)
What do we know about the Metropolis algorithm? (1995) (183)
Neumann and Dirichlet Heat Kernels in Inner Uniform Domains (2011) (145)
Gibbs sampling, exponential families and orthogonal polynomials (2008) (142)
On the relation between elliptic and parabolic Harnack inequalities (2001) (138)
Parabolic Harnack inequality for divergence form second order differential operators (1995) (131)
Nash inequalities for finite Markov chains (1996) (115)
Uniformly elliptic operators on Riemannian manifolds (1992) (114)
Stability results for Harnack inequalities (2005) (107)
Separation cut-offs for birth and death chains (2006) (95)
The cutoff phenomenon for ergodic Markov processes (2008) (88)
On the stability of the behavior of random walks on groups (2000) (85)
ON RANDOM WALKS ON WREATH PRODUCTS (2002) (81)
Harnack inequality and hyperbolicity for subelliptic p-Laplacians with applications to Picard type theorems (2001) (78)
Dirichlet heat kernel in the exterior of a compact set (2002) (67)
HEAT KERNEL ON MANIFOLDS WITH ENDS (2009) (63)
Amenable groups, isoperimetric profiles and random walks (1999) (54)
Precise estimates on the rate at which certain diffusions tend to equilibrium (1994) (53)
Walks on generating sets of groups (1998) (52)
Hitting probabilities for Brownian motion on Riemannian manifolds (2002) (49)
Convergence of some time inhomogeneous Markov chains via spectral techniques (2007) (49)
Walks on generating sets of Abelian groups (1996) (48)
Random walks on finite rank solvable groups (2003) (45)
Probability on Groups : Random Walks and Invariant Diffusions (2001) (43)
Connected Lie groups and property RD (2004) (43)
Bounds for Kac's Master Equation (1999) (42)
Moderate growth and random walk on finite groups (1994) (38)
Random walks on groups and discrete subordination (2012) (36)
On- and off-diagonal heat kernel behaviors on certain infinite dimensional local Dirichlet spaces (2000) (35)
The heat kernel and its estimates (2010) (33)
Sobolev Inequalities in Familiar and Unfamiliar Settings (2009) (33)
Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below (1994) (32)
Holomorphic functions and subelliptic heat kernels over Lie groups (2009) (32)
Isoperimetric Inequalities and Decay of Iterated Kernels for Almost-transitive Markov Chains (1995) (31)
Convolution powers of complex functions on Z (2012) (29)
Merging for time inhomogeneous finite Markov chains, Part I: singular values and stability (2009) (29)
Heat kernel on connected sums of Riemannian manifolds (1999) (27)
Refined estimates for some basic random walks on the symmetric and alternating groups (2008) (27)
On the mixing time and spectral gap for birth and death chains (2013) (27)
Transition operators, groups, norms, and spectral radii (1997) (25)
The backward behavior of the Ricci and cross-curvature flows on SL (2,R) (2009) (25)
Merging for inhomogeneous finite Markov chains, part II: Nash and log-Sobolev inequalities (2011) (24)
Backward Ricci flow on locally homogeneous 3-manifolds (2009) (24)
The Dirichlet heat kernel in inner uniform domains: local results, compact domains and non-symmetric forms (2012) (23)
Gibbs sampling, conjugate priors and coupling (2010) (23)
Elliptic diffusions on infinite products. (1997) (23)
SOME NOVEL TYPES OF FRACTAL GEOMETRY (Oxford Mathematical Monographs) By STEPHEN SEMMES: 164 pp., £49.95, ISBN 0-19-850806-9 (Clarendon Press, Oxford, 2001). (2002) (23)
Random walks and isoperimetric profiles under moment conditions (2015) (23)
Analysis on Riemannian co-compact covers (2004) (22)
Ultracontractivity and embedding into L∞ (2007) (22)
Comparison of Cutoffs Between Lazy Walks and Markovian Semigroups (2013) (22)
Convolution powers of complex functions on Z d (2015) (21)
On global Sobolev inequalities (1994) (21)
Central Gaussian Semigroups of Measures with Continuous Density (2001) (21)
Small time heat kernel behavior on Riemannian complexes (2008) (20)
Merging and stability for time inhomogeneous finite Markov chains (2010) (20)
Weak uncertainty principle for fractals, graphs and metric measure spaces (2007) (20)
Backward Ricci Flow on Locally Homogeneous Three-manifolds (2008) (19)
Cross Curvature Flow on Locally Homogenous Three-manifolds (I) (2007) (19)
Surgery of the Faber–Krahn inequality and applications to heat kernel bounds (2016) (18)
The heat semigroup and Brownian motion on strip complexes (2009) (18)
Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms (2012) (18)
Scale-invariant Boundary Harnack Principle in Inner Uniform Domains (2011) (18)
The L(2)-cutoff for reversible Markov processes (2010) (17)
Cross Curvature Flow on Locally Homogeneous Three-manifolds (II) (2009) (17)
Transition operators on co-compact $G$-spaces (2006) (16)
On the Absolute Continuity of Gaussian Measures on Locally Compact Groups (2001) (16)
Stochastic Alternating Projections (2010) (15)
On the Convolution Powers of Complex Functions on $$\mathbb {Z}$$Z (2015) (15)
Davies' method for anomalous diffusions (2015) (14)
Computing Norms of Group-Invariant Transition Operators (1996) (13)
Random walks driven by low moment measures (2012) (13)
Transition probability estimates for long range random walks (2014) (13)
Heat kernel estimates for anomalous heavy-tailed random walks (2015) (13)
Semi-groups of operators and function spaces on Lie groups (1991) (12)
Random walks on free solvable groups (2013) (12)
On the regularity of sample paths of sub-elliptic diffusions on manifolds (2005) (12)
Spaces of smooth functions and distributions on infinite-dimensional compact groups (2005) (12)
Potential Theory on Infinite Products and Locally Compact Groups (1999) (11)
Heat kernel estimates on connected sums of parabolic manifolds (2016) (11)
Brownian motion on compact groups in infinite dimension (2000) (10)
Isoperimetric profiles and random walks on some permutation wreath products (2015) (10)
Brownian motion on treebolic space: escape to infinity (2012) (9)
Some Inequalities for Superharmonic Functions on Graphs (1997) (9)
Computing cutoff times of birth and death chains (2015) (9)
Widder’s Representation Theorem for Symmetric Local Dirichlet Spaces (2012) (9)
Time inhomogeneous Markov chains with wave-like behavior. (2010) (8)
Random walks on nilpotent groups driven by measures supported on powers of generators (2012) (8)
On the convergence to equilibrium of Brownian motion on compact simple Lie groups (2004) (8)
Left-invariant geometries on SU(2) are uniformly doubling (2017) (8)
Random walks on abelian-by-cyclic groups (2002) (8)
Surjectivity of the Taylor map for complex nilpotent Lie groups (2009) (7)
Pseudo-Poincare Inequalities and Applications to Sobolev Inequalities (2010) (7)
Analytic-geometric methods for finite Markov chains with applications to quasi-stationarity (2019) (7)
Hypoelliptic Bi-Invariant Laplacians on Infinite Dimensional Compact Groups (2006) (7)
Gaussian bounds for derivatives of central Gaussian semigroups on compact groups (2001) (7)
On some random walks driven by spread-out measures (2013) (7)
Convolution powers of complex functions on $\mathbb{Z}^d$ (2015) (7)
On the sample paths of Brownian motions on compact infinite dimensional groups (2003) (7)
On the hypoellipticity of sub-Laplacians on in?nite dimensional compact groups (2003) (7)
On the sample paths of diagonal Brownian motions on the infinite dimensional torus (2004) (6)
Geometric analysis on manifolds with ends (2020) (6)
The logarithmic Sobolev constant of some finite Markov chains (2008) (6)
The cutoff phenomenon for randomized riffle shuffles (2007) (6)
Anomalous threshold behavior of long range random walks (2014) (6)
Gibbs Sampling, Exponential Families and Coupling (2006) (6)
Invariant local Dirichlet forms on locally compact groups (2002) (6)
Spectral computations for birth and death chains (2013) (6)
Positive-homogeneous operators, heat kernel estimates and the Legendre-Fenchel transform (2016) (6)
Large deviations for stable like random walks on $\mathbb Z^d$ with applications to random walks on wreath products (2012) (5)
Aspects of Sobolev-Type Inequalities: Parabolic Harnack inequalities (2001) (5)
Large deviations for stable like random walks on Z d with applications to random walks on wreath products ∗ (2013) (5)
Analysis on compact Lie groups of large dimension and on connected compact groups (2010) (5)
A geometric criterion for the boundedness of characteristic classes (2011) (5)
Gambler’s ruin estimates on finite inner uniform domains (2019) (5)
Rejoinder: Gibbs Sampling, Exponential Families and Orthogonal Polynomials (2008) (4)
Davies’ method for heat-kernel estimates: An extension to the semi-elliptic setting (2019) (4)
Inequalities forp-superharmonic functions on networks (1995) (4)
Markov Semigroups at Saint-Flour (2012) (4)
The hit-and-run version of top-to-random (2020) (4)
Some dichotomy results for central Gaussian convolution semigroups on compact groups (2002) (3)
Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups (2015) (3)
Random walks under slowly varying moment conditions on groups of polynomial volume growth (2015) (3)
Discrete/Continuous Elliptic Harnack Inequality and Kernel Estimates for Functions of the Laplacian on a Graph (2012) (3)
Brownian motion on treebolic space: positive harmonic functions (2014) (3)
Sobolev Inequalities and Polynomial Decay of Convolution Powers and Random Walks (1991) (3)
Time Regularity for Local Weak Solutions of the Heat Equation on Local Dirichlet Spaces (2019) (3)
Random Walks on Some Countable Groups (2017) (3)
Poincaré inequality: From remote balls to all balls ☆ (2014) (2)
Aspects of Sobolev-Type Inequalities: Sobolev inequalities in ℝ n (2001) (2)
GROWTH OF TAYLOR COEFFICIENTS OVER COMPLEX HOMOGENEOUS SPACES (2010) (2)
On-diagonal asymptotics for heat kernels of a class of inhomogeneous partial differential operators (2022) (2)
Gibbs Sampling, Exponential Families and Orthogonal Polynomials. Rejoinder. (2008) (2)
Simple examples of the use of Nash inequalities for finite Markov chains (2019) (2)
Long range random walks and associated geometries on groups of polynomial growth (2018) (2)
Analysis and Geometry on Groups: Preface (1993) (1)
DISCUSSION ON THE PAPER: ”GIBBS SAMPLING, EXPONENTIAL FAMILIES AND ORTHOGONAL POLYNOMIALS” BY P. DIACONIS, K. KHARE AND L. SALOFF-COSTE (2008) (1)
Analysis and Geometry on Groups: The heat kernel on unimodular Lie groups (1993) (1)
INTRODUCTION TO THE PROPERTY OF RAPID DECAY (1)
Harnack inequalities and Gaussian estimates for random walks on metric measure spaces (2015) (1)
Isoperimetric profiles and random walks on some groups defined by piecewise actions (2021) (1)
On the bounded cohomology of Lie groups (2009) (1)
The 4-player gambler's ruin problem (2022) (1)
Aspects of Sobolev-Type Inequalities: Sobolev inequalities on manifolds (2001) (1)
Analysis and Geometry on Groups: The heat kernel on nilpotent Lie groups (1993) (0)
Aspects of Sobolev-Type Inequalities: Two applications (2001) (0)
Random walks on free solvable groups (2014) (0)
TRANSITION OPERATORS, GROUPS, NORMS, (1997) (0)
Analysis and Geometry on Groups: Sobolev inequalities on non-unimodular Lie groups (1993) (0)
Aspects of Sobolev-Type Inequalities: Introduction (2001) (0)
Analysis and Geometry on Groups: Geometric applications (1993) (0)
Random walks on finite nilpotent groups driven by long-jump measures (2019) (0)
Widder’s Representation Theorem for Symmetric Local Dirichlet Spaces (2013) (0)
Book Review: Potential theory and geometry on Lie groups (2022) (0)
Analysis and Geometry on Groups: Systems of vector fields satisfying Hörmander's condition (1993) (0)
Analysis and Geometry on Groups: Convolution powers on finitely generated groups (1993) (0)
Rough hypoellipticity for the heat equation in Dirichlet spaces (2020) (0)
Heat kernel estimates on manifolds with ends with mixed boundary condition (2021) (0)
Limit theorems for some long range random walks on torsion free nilpotent groups (2022) (0)
Perturbation results concerning Gaussian estimates and hypoellipticity for left-invariant Laplacians on compact groups (2021) (0)
Heat Kernels, Stochastic Processes and Functional Inequalities (2020) (0)
Multidimensional examples of the Metropolis algorithm (2022) (0)
Analysis and Geometry on Groups: Foreword (1993) (0)
Aspects of Sobolev-Type Inequalities: Preface (2001) (0)
On the Convolution Powers of Complex Functions on Z\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}$$\end{d (2015) (0)
Analysis and Geometry on Groups: Dimensional inequalities for semigroups of operators on the L p spaces (1993) (0)
J an 2 00 7 WEAK UNCERTAINTY PRINCIPLE FOR FRACTALS , GRAPHS AND METRIC MEASURE SPACES (2007) (0)
Analysis and Geometry on Groups: Local theory for sums of squares of vector fields (1993) (0)
On the Stability of the Behavior Walks on Groups (2000) (0)
Aspects of Sobolev-Type Inequalities: Moser's elliptic Harnack inequality (2001) (0)
Poincaré constant on manifolds with ends (2022) (0)
Analysis and Geometry on Groups: Bibliography (1993) (0)
Analysis and Geometry on Groups: Convolution powers on unimodular compactly generated groups (1993) (0)
Harnack inequality under the change of metric (2015) (0)
Analysis and Geometry on Groups: Introduction (1993) (0)
Isoperimetric profiles and random walks on some groups defined by piecewise actions (2020) (0)
Left-invariant geometries on SU(2) are uniformly doubling (2018) (0)

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Cornell University

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Laurent Saloff-Coste's Published Works

Published Works

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What Schools Are Affiliated With Laurent Saloff-Coste?

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