- The Annals of Probability 2011, Vol. 39, No. 2, 407416
- CHARACTERIZATION OF STATIONARY MEASURES FOR ONE DIMENSIONAL EXCLUSION PROCESSES
- !#"$%& ' ()10243516!7098@ BACED$F G ED$H !IP&E
- TAGGED PARTICLE DISTRIBUTIONS HOW TO CHOOSE A HEAD AT RANDOM
- Publications 1968 1999 1. Thomas M. Liggett, An invariance principle for conditioned sums of independent random
- NEGATIVE DEPENDENCE, and the GEOMETRY of POLYNOMIALS
- T. Liggett Mathematics 31A Second Midterm Solutions February 27, 2009 (12) 1. Find the absolute maximum and minimum of y = x4
- T. Liggett Mathematics 170B Midterm 2 Solutions February 18, 2011 (20) 1. (a) State Markov's inequality.
- Additions and Corrections for Stochastic Interacting Systems: Contact, Voter and Exclusion Processes
- Comments and Corrections for Continuous Time Markov Processes: An Introduction
- T. Liggett Mathematics 171 Midterm 2 May 16, 2011 (15) 1. Let Xn be a Markov chain taking values in [0, 1] with the following
- Continuous Time Markov Processes: An Introduction
- Distributional Limits for the Symmetric Exclusion Process
- ASYMPTOTICS OF A MATRIX VALUED MARKOV CHAIN ARISING IN SOCIOLOGY
- The Symmetric Exclusion Process: Correlation Inequalities and Applications
- T. Liggett Mathematics 131BH Midterm Solutions February 10, 2010 (25) 1. (a) For a bounded function f on [a, b], define: "f is Riemann inte-
- T. Liggett Mathematics 170A Midterm 1 Solutions October 18, 2010 (20) 1. Suppose A and B are events with P(A) = 3
- T. Liggett Mathematics 131C Midterm Solutions May 5, 2010 (25) 1. Consider solving the equations
- T. Liggett Mathematics 131AH Midterm November 4, 2009 1 2 3 4 5 6 7 Total
- T. Liggett Mathematics 131AH Midterm Solutions November 4, 2009 (15) 1. (a) Define: "x is a limit point of E".
- T. Liggett Mathematics 31B Second Midterm Solutions May 15, 2009 (15) 1. In each case, determine whether the integral converges. If it
- The Annals of Probability 2007, Vol. 35, No. 3, 867914
- ONE DIMENSIONAL NEAREST NEIGHBOR EXCLUSION PROCESSES IN INHOMOGENEOUS AND RANDOM ENVIRONMENTS
- A contact process with mutations on a tree by Thomas M. Liggett
- A stochastic model for phylogenetic trees by Thomas M. Liggett
- PROOF OF ALDOUS' SPECTRAL GAP CONJECTURE PIETRO CAPUTO, THOMAS M. LIGGETT, AND THOMAS RICHTHAMMER
- HAPPY BIRTHDAY (OR 40 YEARS AT CMU) JOHN! Two Problems on Stirring Processes
- Two Problems on Stirring Processes And their Solutions
- A Proof of Aldous' Spectral Gap Conjecture Thomas M. Liggett, UCLA
- Stochastic Models for Large Interacting Systems in the Sciences
- T. Liggett Mathematics 31B First Midterm Solutions April 17, 2009 (9) 1. The size of a certain population grows exponentially, and is P(t) at
- T. Liggett Mathematics 31A First Midterm Solutions January 30, 2009 (15) 1. Evaluate the following limits
- T. Liggett Mathematics 170B Midterm 1 Solutions January 31, 2011 (10) 1. Suppose X has the Cauchy density
- NEGATIVE CORRELATIONS AND PARTICLE SYSTEMS Thomas M. Liggett
- SURVIVAL AND COEXISTENCE IN INTERACTING PARTICLE SYSTEMS
- T. Liggett Mathematics 170A Midterm 2 Solutions November 8, 2010 (15) 1. Suppose the random variables X and Y satisfy EX = 1, EY = 2,
- The Exclusion Process: Central Limit Theorems and
- STOCHASTIC DOMINATION: THE CONTACT PROCESS, ISING MODELS AND FKG MEASURES
- The Asympotic Shapley Value for a Simple Market Game Thomas M. Liggett
- Stability on {0, 1, 2, . . . }S : birth-death chains
- The Annals of Probability 2005, Vol. 33, No. 6, 22552313
- MONOTONICITY OF CONDITIONAL DISTRIBUTIONS AND GROWTH MODELS ON TREES
- Stochastic models for large interacting systems and related correlation inequalities
- T. E. Harris' contributions to Interacting Particle Systems and Percolation
- (20) 1. (a) State some form of Chebyshev's inequality. (b) Prove the statement in (a).
- T. Liggett Mathematics 171 Midterm 1 Solutions April 25, 2011 The hitting time min{n 1 : Xn = x} will be denoted by Tx.
- Percolation of arbitrary words in one dimension Geoffrey R. Grimmett, Thomas M. Liggett and Thomas Richthammer
- T. Liggett Mathematics 170A Midterm 2 Solutions March 7, 2012 1. (15) The continuous random variable X has PDF
- T. Liggett Mathematics 170A Midterm 1 February 8, 2012 1 2 3 4 5 6 Total
- Some Open Problems January 17, 2012