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- Thomas M. Liggett

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
34
Citations
15,340
109
World Ranking
1955
National Ranking
831

2013 - Fellow of the American Mathematical Society

2008 - Member of the National Academy of Sciences

1997 - Fellow of John Simon Guggenheim Memorial Foundation

1996 - Wald Memorial Lecturer

1973 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Statistics
- Probability theory

His primary areas of investigation include Discrete mathematics, Ergodic theory, Stochastic process, Mathematical analysis and Combinatorics. His Discrete mathematics study integrates concerns from other disciplines, such as Random walk, Invariant and Random variable. His Ergodic theory research includes themes of Stationary ergodic process and Invariant measure.

He integrates Stochastic process with Interacting particle system in his research. Thomas M. Liggett interconnects Voter model and Statistical physics in the investigation of issues within Mathematical analysis. His work in Statistical physics tackles topics such as Linear system which are related to areas like Asymmetric simple exclusion process.

- Interacting Particle Systems (3986 citations)
- Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (1256 citations)
- Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model (728 citations)

His primary scientific interests are in Combinatorics, Discrete mathematics, Invariant measure, Statistical physics and Invariant. His Combinatorics study also includes fields such as

- Random variable that connect with fields like Disjoint sets,
- Stochastic process that intertwine with fields like Branching process,
- Ising model most often made with reference to Probability measure. His study in the fields of Reduction under the domain of Discrete mathematics overlaps with other disciplines such as Lambda.

His Invariant measure research is multidisciplinary, incorporating elements of Ergodic theory, Mathematical analysis, Product measure and Countable set. His Statistical physics research incorporates Contact process and Interacting particle system. In his research on the topic of Contact process, Voter model is strongly related with Markov process.

- Combinatorics (36.72%)
- Discrete mathematics (32.03%)
- Invariant measure (20.31%)

- Combinatorics (36.72%)
- Discrete mathematics (32.03%)
- Markov chain (13.28%)

His primary areas of study are Combinatorics, Discrete mathematics, Markov chain, Statistical physics and Stochastic modelling. The study incorporates disciplines such as Probability distribution, Stochastic process, Invariant, Upper and lower bounds and Chebyshev polynomials in addition to Combinatorics. His study in Upper and lower bounds is interdisciplinary in nature, drawing from both Voter model and Stationary distribution.

The concepts of his Discrete mathematics study are interwoven with issues in Graph and Spectral gap. As a part of the same scientific study, Thomas M. Liggett usually deals with the Statistical physics, concentrating on Probability theory and frequently concerns with Development, Correlation and Randomness. While the research belongs to areas of Product measure, Thomas M. Liggett spends his time largely on the problem of Ising model, intersecting his research to questions surrounding Probability measure.

- Negative dependence and the geometry of polynomials (194 citations)
- Continuous Time Markov Processes: An Introduction (148 citations)
- Proof of Aldous' spectral gap conjecture (96 citations)

- Mathematical analysis
- Statistics
- Real number

Thomas M. Liggett mainly focuses on Combinatorics, Discrete mathematics, Statistical physics, Stochastic modelling and Calculus. Thomas M. Liggett combines subjects such as Invariant and Chebyshev polynomials with his study of Combinatorics. His work on Probability measure as part of general Discrete mathematics research is often related to Percolation critical exponents, thus linking different fields of science.

His study explores the link between Statistical physics and topics such as Probability theory that cross with problems in Central limit theorem. His Measure research incorporates themes from Ising model and Product. The various areas that Thomas M. Liggett examines in his Ising model study include Quadratic growth and Pure mathematics.

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.

Interacting Particle Systems

Thomas M. Liggett.

**(1985)**

6964 Citations

Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

Thomas M. Liggett.

**(1999)**

2108 Citations

Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model

Richard A. Holley;Thomas M. Liggett.

Annals of Probability **(1975)**

1245 Citations

Domination by product measures

T. M. Liggett;R. H. Schonmann;A. M. Stacey.

Annals of Probability **(1997)**

646 Citations

Fixed points of the smoothing transformation

Richard Durrett;Thomas M. Liggett.

Probability Theory and Related Fields **(1983)**

299 Citations

An Improved Subadditive Ergodic Theorem

Thomas M. Liggett.

Annals of Probability **(1985)**

277 Citations

Continuous Time Markov Processes: An Introduction

Thomas M. Liggett.

**(2010)**

232 Citations

Negative dependence and the geometry of polynomials

Julius Borcea;Petter Bränden;Thomas M. Liggett.

Journal of the American Mathematical Society **(2008)**

226 Citations

Coupling the Simple Exclusion Process

Thomas M. Liggett.

Annals of Probability **(1976)**

218 Citations

Stochastic Games with Perfect Information and Time Average Payoff

Thomas M. Liggett;Steven A. Lippman.

Siam Review **(1969)**

212 Citations

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