51 citations · 243 across the 25 of their papers we have counts for
12 papers · 1 filter
Supersymmetric Hyperbolic -models and Decay of Correlations in Two Dimensions
Nick Crawford
In this paper we study a family of nonlinear -models in which the target space is the super manifold . These models generalize Zirnbauer's nonlinear -mode…
Stability of the uniqueness regime for ferromagnetic Glauber dynamics under non-equilibrium perturbations
N. Crawford, W. De Roeck
In this paper, we prove a general result concerning finite-range, attractive interacting particle systems on . If the particle system has a unique station…
Uniqueness regime for Markov dynamics on quantum lattice spin systems
Nicholas Crawford, Wojciech De Roeck, Marius Schütz
We consider a lattice of weakly interacting quantum Markov processes. Without interaction, the dynamics at each site is relaxing exponentially to a unique stationary state. With in…
The Toom Interface Via Coupling
Nick Crawford, Gady Kozma, Wojciech de Roeck
We consider a one dimensional interacting particle system which describes the effective interface dynamics of the two dimensional Toom model at low temperature and noise. We prove…
Emptiness Formation Probability
Nicholas Crawford, Stephen Ng, Shannon Starr
We present rigorous upper and lower bounds on the emptiness formation probability for the ground state of a spin- Heisenberg XXZ quantum spin system. For a -dimensional sys…
Random Field Induced Order in Low Dimension I
Nicholas Crawford
Consider the classical XY model in a weak random external field pointing along the Y axis with strength . We prove that the model defined on with nearest neighbor couplin…