- Department of Mathematics
- University of California
- Los Angeles CA 90095-1555

- (310) 825-1339

- A.B. in Mathematics, Oberlin College 1965.
- M.S. in Mathematics, Stanford University, 1966.
- Ph.D. in Mathematics, Stanford University, 1969.

- Probability Theory; Interacting Particle Systems

- Assistant Professor of Mathematics, UCLA, 1969-1973
- Associate Professor of Mathematics, UCLA, 1973-1976.
- Professor of Mathematics, UCLA, 1976-present.
- Vice Chair for Administration, Mathematics Department, UCLA, 1978-1981.
- Chair, Mathematics Department, UCLA, 1991-1994.
- Associate Editor of the Annals of Probability, 1979-1984.
- Editor of the Annals of Probability, 1985-1987.
- Associate Editor of Stochastic Processes and their Applications, 1993-1999.
- Undergraduate Vice Chair, Mathematics Department, UCLA, 2004-2006.

- Alfred P. Sloan Research Fellowship, 1973-1977.
- Elected Fellow of the Institute of Mathematical Statistics, 1976.
- Invited speaker at the 1986 International Congress of Mathematicians.
- IMS Wald Memorial Lecturer, 1996.
- Guggenheim Fellowship, 1997-1998.

- Norman Matloff, 1974 (UC Davis)
- Diane Schwartz, 1974 (CSU Northridge)
- Enrique Andjel, 1981 (U. Provence, Marseille, France)
- Dayue Chen , 1989 (Peking University)
- Xijian Liu, 1991 (US Census Bureau)
- Shirin Handjani, 1993 (San Diego)
- Amber Puha, 1998 (CSU San Marcos)
- Paul Jung, 2003 (Cornell)

Thomas M. Liggett, *Clustering and coexistence in threshold voter models*,in "Cellular Automata and Cooperative Systems", Kluwer, 1993, pp. 403-410.

Thomas M. Liggett, * Coexistence in threshold voter models*, Ann. Probab. **22** (1994), 764-802.

Jon Aaronson, Thomas M. Liggett and Pierre Picco, *Equivalence of renewal sequences and isomorphism of random walks*, Israel J. Math. **87** (1994), 65-76.

Thomas M. Liggett, *Survival and coexistence in interacting particle systems*, in "Probability and Phase Transition", Kluwer, 1994, pp. 209-226.

Thomas M. Liggett and Peter Petersen, *The law of large numbers and the square root of 2*, Amer. Math Monthly **102** (1995), 31-35.

Thomas M. Liggett, *Improved upper bounds for the contact process critical value*, Ann. Probab. **23** (1995), 697-723.

Pablo A. Ferrari, Antonio Galves and Thomas M. Liggett, *Exponential waiting time for filling a large interval in the symmetric simple exclusion process*, Annales de L'Institut Henri Poincaré **31** (1995), 155-175.

Thomas M. Liggett, *Survival of discrete time growth models, with applications to oriented percolation*, Ann. Appl. Probab. **5** (1995), 613-636.

Thomas M. Liggett, *Multiple transition points for the contact process on the binary tree*.
Ann. Probab. **24** (1996), 1675-1710.

Thomas M. Liggett, Roberto H. Schonmann and Alan M. Stacey, * Domination by product measures*. Ann. Probab. **25** (1997), 71-95.

Thomas M. Liggett, * Branching random walks and contact processes on homogeneous trees*. Probab. Th. Rel. Fields **106** (1996), 495-519.

Thomas M. Liggett, * The 1996 Wald Memorial Lectures: Stochastic models of interacting systems*.
Ann. Probab. **25** (1997), 1-29.

Vladimir Belitsky, Pablo A. Ferrari, Norio Konno and Thomas M. Liggett, * A strong correlation
inequality for contact processes and oriented percolation*. Stoch. Proc. Appl.**67** (1997), 213-225.

Thomas M. Liggett, *Ultra logconcave sequences and negative dependence*. J. Comb. Th. A.
**79** (1997), 315-325.

Thomas M. Liggett, *Stochastic Interacting Systems:
Contact, Voter and Exclusion Processes*.
Grund. fur Math. Wissen., Vol 324, Springer (1999).

Thomas M. Liggett, *Branching random walks on finite trees*. Perplexing
Problems in Probability: Festschrift in Honor of Harry Kesten.
Birkhauser Progress
in Probability Series (1999), 315-330.

Thomas M. Liggett, *Monotonicity of conditional distributions
and growth models on trees*. Ann. Probab.** 28,** (2000), 1645-1665.

Thomas M. Liggett, *Tagged particle distributions, or How to choose a head at random*. In and Out of Equilibrium:
Probability with a Physics Flavor. Birkhauser Progress in Probability
Series (2002), 133-162.

Alexander E. Holroyd and Thomas M. Liggett, *How to find an extra head: optimal random shifts of Bernoulli and Poisson
random fields*. Ann. Probab.** 29** (2001), 1405-1425.

Maury Bramson, Thomas M. Liggett and Thomas Mountford, *Characterization
of stationary measures for one dimensional exclusion processes*. Ann. Probab.** 30** (2002), 1529-1575.

Thomas M. Liggett, *Interacting Particle Systems -- An
Introduction*. Lectures given at the School and Conference
on Probability Theory at the International Center for Theoretical
Physics, Trieste, May 13-17, 2002.

Phillip Bonacich and Thomas M. Liggett, *
Asymptotics of a matrix valued Markov chain arising in sociology*.
Stoch. Proc. Appl.** 104** (2003), 155-171.

Thomas M. Liggett, *Negative correlations and particle systems*. Markov Proc. Rel. Fields **8** (2002), 547-564.

Alexander E. Holroyd, Thomas M. Liggett and Dan Romik, * Integrals,
partitions and cellular automata*. Trans. A. M. S. **356** (2004),
3349-3368

Richard Arratia and Thomas M. Liggett, *
How likely is an i.i.d. degree sequence to be graphical?*
Annals of Applied Probability **15** (2005), 652-670.

Thomas M. Liggett and Silke W. W. Rolles, * An infinite stochastic model of social network formation*. Stoch. Proc. Appl.** 113** (2004), 65-80.

Maury Bramson and Thomas M. Liggett, * Exclusion processes in higher dimensions: stationary measures and convergence*.
Ann. Probab.** 33** (2005), 2255-2313.

Thomas M. Liggett and Jeffery E. Steif, * Stochastic domination: The contact process, Ising models and FKG measures*. Ann. Inst. H. Poincare Probab. Statist.** 42** (2006), 223-243.

Thomas M. Liggett, * Conditional association
and spin systems*. ALEA - Latin American Journal of Probability and Mathematical Statistics **1** (2006), 1-19.

Thomas M. Liggett, Jeffery E. Steif and Balint Toth, * Statistical mechanical systems on complete graphs, infinite exchangeability, finite extensions and a discrete moment problem*. Ann. Probab.

Thomas M. Liggett, Steven A. Lippman and Richard P. Rumelt, * The asymptotic Shapley value for a simple market game*.

Lincoln Chayes and Thomas M. Liggett, * One dimensional nearest neighbor exclusion processes in
inhomogeneous and random environments*. J. Stat. Phys.

Thomas M. Liggett, Rinaldo B. Schinazi and Jason Schweinsberg, * A contact process with mutations on a tree*.

tml@math.ucla.edu