51 citations · 187 across the 8 of their papers we have counts for
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math.PR2002★ 46 cited
Rigorous analysis of discontinuous phase transitions via mean-field bounds
Marek Biskup, Lincoln Chayes
We consider a variety of nearest-neighbor spin models defined on the d-dimensional hypercubic lattice Z^d. Our essential assumption is that these models satisfy the condition of re…
math.PR2002★ 3 cited
Phase transition and critical behavior in a model of organized criticality
Marek Biskup, Philippe Blanchard, Lincoln Chayes +2
We study a model of ``organized'' criticality, where a single avalanche propagates through an \textit{a priori} static (i.e., organized) sandpile configuration. The latter is chose…