51 citations · 243 across the 25 of their papers we have counts for
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math-ph2008★ 4 cited
Random Current Representation for Transverse Field Ising Models
Nicholas Crawford, Dmitry Ioffe
Recently, a random current representation for transverse field Ising models has been introduced in \cite{ILN}. This representation is a space-time version of the classical random c…
math.PR2008★ 1 cited
Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model
Sourav Chatterjee, Nick Crawford
In this paper we consider central limit theorems for various macroscopic observables in the high temperature region of the Sherrington-Kirkpatrick spin glass model. With a particul…
math.PR2008★ 26 cited
The Phase Diagram of the Quantum Curie-Weiss Model
Lincoln Chayes, Nicholas Crawford, Dmitry Ioffe +1
This paper studies a generalization of the Curie-Weiss model (the Ising model on a complete graph) to quantum mechanics. Using a natural probabilistic representation of this model,…