Publications and Preprints:
R Bauerschmidt, N Crawford, T Helmuth, Percolation transition for random forests in d≥ 3, accepted, Inventiones Mathematica
Roland Bauerschmidt, Nicholas Crawford, Tyler Helmuth, Andrew Swan, Random spanning forests and hyperbolic symmetry, Communications in Mathematical Physics 381 (3), 1223-1261
Nicholas Crawford, Wioletta M Ruszel, Random field induced order in two dimensions, 2024/2 Annales de l'Institut Henri Poincare (B) Probabilites et statistiques, 60, (1) 242-280
N. Crawford, A. Glazman, M. Harel, R. Peled. Macroscopic loops in the loop O(n) model via the XOR trick, preprint.
Nick Crawford, Supersymmetric Hyperbolic σ-models and Decay of Correlations in Two Dimensions, Journal of Statistical Physics, 184, 32 (2021).
Roland Bauerschmidt, Nicholas Crawford, Tyler Helmuth, Andrew Swan, Random spanning forests and hyperbolic symmetry, Commun. Math. Phys. 381(5):1-39 2021.
Nicholas Crawford, Ron Rosenthal, Eigenvector correlations in the complex Ginibre ensemble, Annals of Applied Probability, 32(4), 2706-2754, (August 2022).
M. Ballesteros, N. Crawford, M. Fraas, J. Fröhlich, B. Schubnel, Perturbation Theory for Weak Measurements in Quantum Mechanics, I -- Systems with Finite-Dimensional State Space, Annales Henri Poincaré Volume 20, pages 299–335 (2019).
M. Ballesteros, N. Crawford, M. Fraas, J. Frohlich, B. Schubnel, Quantum Parameter Estimation and Almost non-Demolition Measurements, in QMath13: Mathematical Problems in Quantum Physics (F. Bonetto, D. Borthwick, E. Harrell, M. Loss, eds.), AMS Contemporary Mathematic Series, vol. 717; Providence, R.I., 2018
N. Crawford,W. de Roeck, Stability of the uniqueness regime for ferromagnetic Glauber dynamics under non-equilibrium perturbations, Annales Henri Poincaré, Volume 19, pages 2651–2671 (2018).
N. Crawford, W. de Roeck, Invariance principle for ‘push’ tagged particles for a Toom Interface, submitted, arXiv:1610.07765.
N. Crawford, G. Kozma; The Toom Interface Via Coupling, accepted for publication JSP. arXiv:1506.00530.
N. Crawford, S. Ng, S. Starr; Emptiness Formation Probability, Communications in Mathematical Physics, August 2016, Volume 345, Issue 3, pp 881–922.
O. Angel, N. Crawford, G. Kozma; Localization for Linearly Reinforced Random Walks (and Vertex Reinforced Jump Processes), Duke Math. J. Volume 163, Number 5 (2014), 889-921.
N. Crawford; Random Field Induced Order in Low Dimension, EPL (Europhysics Letters), Volume 102, Number 3.
N. Crawford; RandomField Induced Order in Low Dimension I, Communications in Mathematical Physics, May 2014, Volume 328, Issue 1, pp 203–249
N. Crawford,M. Biskup,; Absence of Ferromagnetism in Continuous-Spin Systems with Long-Range Antialigning Forces, w/ M. Biskup, J. Stat. Phys. (2011), Volume 144, No. 4, Pages 731-748.
N. Crawford; On Random Field Induced Ordering in the Classical XY Model, J. Stat. Phys. (2011), Volume 142, No. 1, Pages 11-42.
N. Crawford, A. Sly; Simple Random Walks on Long Range Percolation Clusters II: Scaling Limits, Ann. Probab., Volume 41, Number 2 (2013), 445-502
N. Crawford, A. Sly; Simple Random Walks on Long Range Percolation Clusters I: Heat Kernel Bounds, Probability Theory and Related Fields (4 August 2011), pp. 1-34
N. Crawford, N. Bhatnagar, A. Sen, E. Mossel; Scaling Limits for Width Two Partially Ordered Sets: The Incomparability Window, Order 5 January 2012
N. Crawford, D. Ioffe; Random Current Representation of the Transverse Field Ising Model, Comm. Math. Phys. 296, 2, 447--474.
N. Crawford, S. Chatterjee; Central Limit Theorems for the Energy Density in the Sherrington-Kirkpatrick Model J. Statist. Phys. 137, 639--666, 2009.
N. Crawford; Central Limit Theorems for Multi-Overlaps in the High TemperaturePhase of the Sherrington-Kirkpatrick Model, J. Math. Phys. 49, 12, Dec. 2008.
N. Crawford, L. Chayes, D.Ioffe, A. Levit; The Phase Diagram of the Mean Field Transverse Ising Model, J. Stat. Phys. 133, 1, Oct. 2008.
N. Crawford; Thermodynamics and Universality for Mean Field Quantum Spin Glasses, Comm. Math. Phys. 274, 3, September 2007.
N. Crawford, M. Biskup, L. Chayes; Mean-field driven first-order phase transitions in systems with long-range interactions, J. Statist. Phys. 122, no. 6, 1139-1193 2006.