Thomas M. Liggett

11.4k total citations · 5 hit papers
90 papers, 6.7k citations indexed

About

Thomas M. Liggett is a scholar working on Mathematical Physics, Statistics and Probability and Statistical and Nonlinear Physics. According to data from OpenAlex, Thomas M. Liggett has authored 90 papers receiving a total of 6.7k indexed citations (citations by other indexed papers that have themselves been cited), including 68 papers in Mathematical Physics, 51 papers in Statistics and Probability and 15 papers in Statistical and Nonlinear Physics. Recurrent topics in Thomas M. Liggett's work include Stochastic processes and statistical mechanics (60 papers), Markov Chains and Monte Carlo Methods (37 papers) and Random Matrices and Applications (24 papers). Thomas M. Liggett is often cited by papers focused on Stochastic processes and statistical mechanics (60 papers), Markov Chains and Monte Carlo Methods (37 papers) and Random Matrices and Applications (24 papers). Thomas M. Liggett collaborates with scholars based in United States, Brazil and Israel. Thomas M. Liggett's co-authors include Richard A. Holley, Michael G. Crandall, Richard Durrett, Alan Stacey, Roberto H. Schonmann, Steven A. Lippman, Julius Borcea, Petter Brändén, Frank Spitzer and Enrique D. Andjel and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Technometrics and SIAM Review.

In The Last Decade

Thomas M. Liggett

87 papers receiving 6.1k citations

Hit Papers

5 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Interacting Particle Systems

1985 2.0k citations Thomas M. Liggett profile →
Stochastic Interacting Systems: Contact, Voter and Exclusion Processes

1999 887 citations Thomas M. Liggett profile →
Ergodic Theorems for Weakly Interacting Infinite Systems and the Voter Model

1975 695 citations Thomas M. Liggett et al. profile →
Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

1971 599 citations Thomas M. Liggett et al. profile →
Interacting Particle Systems

2005 308 citations Thomas M. Liggett profile →

Peers

Countries citing papers authored by Thomas M. Liggett

Since Specialization

Citations

This map shows the geographic impact of Thomas M. Liggett's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Thomas M. Liggett with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Thomas M. Liggett more than expected).

Fields of papers citing papers by Thomas M. Liggett

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Thomas M. Liggett. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Thomas M. Liggett. The network helps show where Thomas M. Liggett may publish in the future.

Co-authorship network of co-authors of Thomas M. Liggett

This figure shows the co-authorship network connecting the top 25 collaborators of Thomas M. Liggett. A scholar is included among the top collaborators of Thomas M. Liggett based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Thomas M. Liggett. Thomas M. Liggett is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Continuous Time Markov Processes 2010 ·Graduate studies in mathematics ·Thomas M. Liggett	70
2	A Stochastic Model for Phylogenetic Trees 2009 ·Journal of Applied Probability ·Thomas M. Liggett, Rinaldo B. Schinazi	1
3	A Stochastic Model for Phylogenetic Trees 2009 ·Journal of Applied Probability ·Thomas M. Liggett, Rinaldo B. Schinazi	8
4	A recursive approach for Aldous' spectral gap conjecture 2009 ·arXiv (Cornell University) ·Pietro Caputo, Thomas M. Liggett, (unknown)	2
5	A recursive proof of Aldous' spectral gap conjecture 2009 ·arXiv (Cornell University) ·Pietro Caputo, Thomas M. Liggett, (unknown)	2
6	A contact process with mutations on a tree 2007 ·Stochastic Processes and their Applications ·Thomas M. Liggett, Rinaldo B. Schinazi, Jason Schweinsberg	6
7	HOW LIKELY IS AN I.I.D. DEGREE SEQUENCE TO BE GRAPHICAL? 2005 ·(unknown), Richard Arratia, Thomas M. Liggett	12
8	An infinite stochastic model of social network formation 2004 ·Stochastic Processes and their Applications ·Thomas M. Liggett, Silke W. W. Rolles	9
9	Asymptotics of a matrix valued Markov chain arising in sociology 2003 ·Stochastic Processes and their Applications ·Phillip Bonacich, Thomas M. Liggett	16
10	Ultra Logconcave Sequences and Negative Dependence 1997 ·Journal of Combinatorial Theory Series A ·Thomas M. Liggett	33
11	A strong correlation inequality for contact processes and oriented percolation 1997 ·Stochastic Processes and their Applications ·Vladimir Belitsky, Pablo A. Ferrari, Norio Konno, Thomas M. Liggett	3
12	Exponential waiting time for filling a large interval in the symmetric simple exclusion process 1995 ·French digital mathematics library (Numdam) ·Pablo A. Ferrari, Antonio Galves, Thomas M. Liggett	5
13	Systems of independent Markov chains 1988 ·Stochastic Processes and their Applications ·Thomas M. Liggett, Sidney C. Port	9
14	Extensions of the Erdös-Ko-Rado theorem and a statistical application 1977 ·Journal of Combinatorial Theory Series A ·Thomas M. Liggett	4
15	Ergodic theorems for the asymmetric simple exclusion process 1975 ·Transactions of the American Mathematical Society ·Thomas M. Liggett	63
16	A Characterization of the Invariant Measures for an Infinite Particle System with Interactions. II 1974 ·Transactions of the American Mathematical Society ·Thomas M. Liggett	1
17	A characterization of the invariant measures for an infinite particle system with interactions. II 1974 ·Transactions of the American Mathematical Society ·Thomas M. Liggett	11
18	A Characterization of the Invariant Measures for an Infinite Particle System with Interactions 1973 ·Transactions of the American Mathematical Society ·Thomas M. Liggett	9
19	A characterization of the invariant measures for an infinite particle system with interactions 1973 ·Transactions of the American Mathematical Society ·Thomas M. Liggett	39
20	Existence Theorems for Infinite Particle Systems 1972 ·Transactions of the American Mathematical Society ·Thomas M. Liggett	17

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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