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math.CO2012★ 8 cited
Phase Coexistence and Slow Mixing for the Hard-Core Model on Z^2
Antonio Blanca, David Galvin, Dana Randall +1
In the hard-core model on a finite graph we are given a parameter lambda>0, and an independent set I arises with probability proportional to lambda^|I|. On infinite graphs a Gibbs…
math.CO2010
On Universal Cycles for new Classes of Combinatorial Structures
Antonio Blanca, Anant P. Godbole
A universal cycle (u-cycle) is a compact listing of a collection of combinatorial objects. In this paper, we use natural encodings of these objects to show the existence of u-cycle…