74 citations · 158 across the 17 of their papers we have counts for
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math.PR2007
Distributional Limits for the Symmetric Exclusion Process
Thomas M. Liggett
Strong negative dependence properties have recently been proved for the symmetric exclusion process. In this paper, we apply these results to prove convergence to the Poisson and n…
math.PR2007★ 2 cited
Negative dependence and the geometry of polynomials
Julius Borcea, Petter Brändén, Thomas M. Liggett
We introduce the class of {\em strongly Rayleigh} probability measures by means of geometric properties of their generating polynomials that amount to the stability of the latter.…
math.PR2007★ 8 cited
One dimensional nearest neighbor exclusion processes in inhomogeneous and random environments
Lincoln Chayes, Thomas M. Liggett
The processes described in the title always have reversible stationary distributions. In this paper, we give sufficient conditions for the existence of, and for the nonexistence of…