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Stationary Measures for One Dimensional Exclusion Processes, I

Mathematical Physics & Probability

Speaker: Maury Bramson, UC Davis
Location: 693 Kerr
Start time: Tue, Jan 15 2002, 3:10PM

The exclusion processes constitute one of the main families of interacting particle systems. Particles move about according to a given random walk kernel, except that no more than one particle is permitted at each site. Even in one dimension, the theory is incomplete when the random walk kernel is asymmetric. Here, we discuss recent results on the equilibrium measures for such kernels.