E-Mail: njc860 at gmail dot com


Current Affiliation:

The Technion, Haifa, Israel

Publications and Preprints:

Simple Random Walks on Long Range Percolation Clusters III: Scaling Limits Part II, w/ Allan Sly, in preparation

Absence of Ferromagnetism in Systems with Competing Interactions, w/ M. Biskup submitted

On Random Field Induced Ordering in the Classical XY Model, to appear J. Statist. Phys.

Simple Random Walks on Long Range Percolation Clusters II: Scaling Limits, w/ A. Sly; submitted

Simple Random Walks on Long Range Percolation Clusters I: Heat Kernel Bounds, w/ A. Sly; submitted

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

Random Current Representation of the Transverse Field Ising Model, w/ D. Ioffe; Comm. Math. Phys.  296, 2, 447--474.

Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model, w/ S. Chatterjee; J. Statist. Phys. 137, 639--666, 2009.

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 Mean Field 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.


  • CV

  • Talks:
    Quantum Spin Glasses

  • CLTs for the Energy Density in the SK Model

  • Random Currents for the Transverse Field Ising Model

    Heat Kernel Upper Bounds on Long Range Percolation Clusters

    Random Field Induced Ordering
    Subpages (1): Papers,Talks,CV