What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (36.72%)
- Discrete mathematics (32.03%)
- Invariant measure (20.31%)
What were the highlights of his more recent work (between 2005-2018)?
- Combinatorics (36.72%)
- Discrete mathematics (32.03%)
- Markov chain (13.28%)
In recent papers he was focusing on the following fields of study:
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.
Between 2005 and 2018, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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