18 citations
2 papers
cond-mat.stat-mech2008★ 18 cited
Counterintuitive ground states in soft-core models
Henry Cohn, Abhinav Kumar
It is well known that statistical mechanics systems exhibit subtle behavior in high dimensions. In this paper, we show that certain natural soft-core models, such as the Gaussian c…
math.CO2008★ 4 cited
Moments of Two-Variable Functions and the Uniqueness of Graph Limits
Christian Borgs, Jennifer Chayes, Laszlo Lovasz
For a symmetric bounded measurable function W on [0,1]^2, "moments" of W can be defined as values t(F,W) indexed by simple graphs. We prove that every such function is determined b…