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- Laurent Saloff-Coste

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
9,837
177
World Ranking
1265
National Ranking
582

2013 - Fellow of the American Mathematical Society

2011 - Fellow of the American Academy of Arts and Sciences

2006 - Fellow of John Simon Guggenheim Memorial Foundation

- Mathematical analysis
- Pure mathematics
- Geometry

Laurent Saloff-Coste focuses on Pure mathematics, Mathematical analysis, Markov chain, Random walk and Combinatorics. His Pure mathematics research includes elements of Stability result, Markov operator and Calculus. His study on Riemannian geometry is often connected to Relation as part of broader study in Mathematical analysis.

His work in the fields of Markov chain mixing time overlaps with other areas such as Multiple-try Metropolis. His work deals with themes such as Discrete mathematics, Group, Finite group, Representation theory and Covering number, which intersect with Random walk. His Combinatorics study combines topics from a wide range of disciplines, such as Upper and lower bounds, Theoretical computer science and Differential geometry.

- Analysis and Geometry on Groups (668 citations)
- LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS (445 citations)
- COMPARISON THEOREMS FOR REVERSIBLE MARKOV CHAINS (404 citations)

Laurent Saloff-Coste mainly investigates Pure mathematics, Mathematical analysis, Random walk, Combinatorics and Discrete mathematics. He works mostly in the field of Pure mathematics, limiting it down to topics relating to Markov chain and, in certain cases, Applied mathematics. His Mathematical analysis research incorporates elements of Curvature and Brownian motion.

His research in Random walk focuses on subjects like Group, which are connected to Measure. His Combinatorics research focuses on Invariant and how it relates to Identity element. The various areas that Laurent Saloff-Coste examines in his Lie group study include Group theory and Representation theory.

- Pure mathematics (32.51%)
- Mathematical analysis (26.60%)
- Random walk (24.63%)

- Random walk (24.63%)
- Pure mathematics (32.51%)
- Combinatorics (24.14%)

The scientist’s investigation covers issues in Random walk, Pure mathematics, Combinatorics, Heat kernel and Mathematical analysis. His study in Random walk is interdisciplinary in nature, drawing from both Discrete mathematics, Countable set, Nilpotent, Group and Polynomial. Laurent Saloff-Coste has included themes like Space, Heat equation and Markov chain in his Pure mathematics study.

His Markov chain study incorporates themes from Harmonic measure and Eigenfunction. When carried out as part of a general Combinatorics research project, his work on Finitely generated group and Isoperimetric inequality is frequently linked to work in Simple random sample and Exponent, therefore connecting diverse disciplines of study. His biological study spans a wide range of topics, including Manifold, Upper and lower bounds and Convolution.

- Surgery of the Faber–Krahn inequality and applications to heat kernel bounds (12 citations)
- Heat kernel estimates for anomalous heavy-tailed random walks (10 citations)
- Left-invariant geometries on SU(2) are uniformly doubling (9 citations)

- Mathematical analysis
- Geometry
- Algebra

His primary areas of investigation include Combinatorics, Random walk, Heat kernel, Invariant and Pure mathematics. The Combinatorics study combines topics in areas such as Discrete mathematics and Second moment of area. He interconnects Probability distribution, Range and Markov chain in the investigation of issues within Random walk.

His Heat kernel research integrates issues from Manifold, Upper and lower bounds, Energy measure and Inequality. His study looks at the relationship between Invariant and fields such as Special unitary group, as well as how they intersect with chemical problems. His work on Complex-valued function as part of general Pure mathematics research is often related to Volume growth, thus linking different fields of science.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Analysis and Geometry on Groups

Nicholas T. Varopoulos;L. Saloff-Coste;T. Coulhon.

**(1993)**

1225 Citations

Analysis and Geometry on Groups

Nicholas T. Varopoulos;L. Saloff-Coste;T. Coulhon.

**(1993)**

1225 Citations

Aspects of Sobolev-type inequalities

Laurent Saloff-Coste.

**(2001)**

677 Citations

Aspects of Sobolev-type inequalities

Laurent Saloff-Coste.

**(2001)**

677 Citations

Lectures on finite Markov chains

Laurent Saloff-Coste.

**(1997)**

594 Citations

Lectures on finite Markov chains

Laurent Saloff-Coste.

**(1997)**

594 Citations

LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS

P. Diaconis;L. Saloff-Coste.

Annals of Applied Probability **(1996)**

577 Citations

LOGARITHMIC SOBOLEV INEQUALITIES FOR FINITE MARKOV CHAINS

P. Diaconis;L. Saloff-Coste.

Annals of Applied Probability **(1996)**

577 Citations

A note on Poincaré, Sobolev, and Harnack inequalities

L. Saloff-Coste.

International Mathematics Research Notices **(1992)**

527 Citations

A note on Poincaré, Sobolev, and Harnack inequalities

L. Saloff-Coste.

International Mathematics Research Notices **(1992)**

527 Citations

Journal of Functional Analysis

(Impact Factor: 1.891)

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