Nick Crawford's home-page

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Office : Evans 347                                                                                                                                                                                                                                                                                                            
Phone : 510-642-9959                                                                                                                                                          Jerusalem, June 2007                     

Statistics Department,
UC Berkeley
Berkeley, CA 94720-3860
E-Mail: crawford at stat dot berkeley dot edu
CV

I am a VIGRE Assistant Professor in the Statistics Department at UC Berkeley. My main research interest is broadly at the intersection of Probability and Mathematical Physics and more specifically lie in the analysis of probabilistic models motivated by statistical mechanics. Most of my research in graduate school revolved around aspects of mean field models. Recent interests explore using probabilistic representations to study quantum spin systems.

Teaching Activities for Fall 2008:

Stat200A

Statistics Department VIGRE Seminar

Publications and preprints:

Random Current Representation of the Transverse Field Ising Model
w/D. Ioffe; Preprint

Scaling Limits for Width Two Partially Ordered Sets: The Incomparability Window, w/
N. Bhatnagar, A. Sen, E. Mossel; Submitted.

Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model, w/ S. Chatterjee; Submitted.

Central Limit Theorems for Multi-Overlaps in the High Temperature Phase of the Sherrington-Kirkpatrick Model J. Math. Phys. 49, 12, Dec. 2008.

The Phase Diagram of the Transverse Ising Model,w/ L. Chayes, D.Ioffe, A. Levit; J. Stat. Phys. 133, 1, Oct. 2008.

Thermodynamics and Universality for Infinite Range Quantum Spin Glasses Comm. Math. Phys. 274,  3, September 2007.

Mean-field driven first-order phase transitions in systems with long-range interactions w/ M. Biskup, L. Chayes; J. Statist. Phys. 122, no. 6, 1139-1193 2006.

Dissertation Draft

Talks:

  • First Order Transitions via Mean Field Theory

  • The Quantum Curie-Weiss Model in a Transverse External Field

  • CLTs for the Energy Density in the SK Model

  • Climbing Photos ( pre-pulley injury:( )

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