Thomas M. Liggett

Discrete Mathematics and Combinatorics · 2003–2010

A researcher in the Science corpus: 4 papers; trusts 5 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 8 citations into it; #1,551 of 2,017 by trust here, #1,552 by citations
• Mathematical Physics — 8 citations into it; #7,009 of 8,562 by trust here, #7,007 by citations
• Statistics and Probability — 8 citations into it; #4,317 of 12,932 by trust here, #5,126 by citations
• Computational Theory and Mathematics — 7 citations into it; #5,949 of 12,182 by trust here, #10,349 by citations
• Applied Mathematics — 6 citations into it; #3,299 of 7,620 by trust here, #3,410 by citations

Whom Thomas M. Liggett trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Julius Borcea
2. Alexander E. Holroyd
3. Robin Pemantle
4. Petter Brand'en

Who trusts Thomas M. Liggett overall

1. Yoann Dabrowski
2. Marek Tomasz Biskup
3. Petter Brand'en
4. Russell Lyons
5. Julius Borcea
6. Kathrin Bringmann
7. Yuval Peres
8. David G. Wagner

Papers from Thomas M. Liggett's perspective

Ordered by how strongly the researchers Thomas M. Liggett trusts endorse each paper. Same corpus, a different order for every researcher.

1. Determinantal probability measures
2. Towards a theory of negative dependence
3. Local Characteristics, Entropy and Limit Theorems for Spanning Trees and Domino Tilings Via Transfer-Impedances
4. The multivariate Tutte polynomial (alias Potts model) for graphs and matroids (BCC)
5. Determinantal Processes with Number Variance Saturation
6. The Random-Cluster Model
7. Determinantal Processes and Independence
8. Polya-Schur master theorems for circular domains and their boundaries
9. Hyperbolic Polynomials and Convex Analysis (Canadian Journal of Mathematics - Journal Canadien de Mathematiques)
10. On the Riemann hypothesis

Their papers

• Negative dependence and the geometry of polynomials (2007) — 306 citations
• Proof of Aldous' spectral gap conjecture (2009) — 141 citations
• Integrals, partitions, and cellular automata (2003) — 73 citations
• Continuous Time Markov Processes: An Introduction (2010) — 240 citations