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pro vyhledávání: '"Crawford, Nick"'
Autor:
Crawford, Nick
In this paper we study a family of nonlinear $\sigma$-models in which the target space is the super manifold $H^{2|2N}$. These models generalize Zirnbauer's $H^{2|2}$ nonlinear $\sigma$-model which has a number of special features for which we find a
Externí odkaz:
http://arxiv.org/abs/1912.05817
Autor:
Crawford, Nick, De Roeck, Wojciech
In many interacting particle systems, tagged particles move diffusively upon subtracting a drift. General techniques to prove such `invariance principles' are available for reversible processes (Kipnis-Varadhan) and for non-reversible processes in di
Externí odkaz:
http://arxiv.org/abs/1610.07765
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 a number of basic properties of this model. First we consider the dyna
Externí odkaz:
http://arxiv.org/abs/1501.04746
Publikováno v:
Order, 30(1):289-311, 2013
We study the structure of a uniformly randomly chosen partial order of width 2 on n elements. We show that under the appropriate scaling, the number of incomparable elements converges to the height of a one dimensional Brownian excursion at a uniform
Externí odkaz:
http://arxiv.org/abs/0810.3670
Autor:
Chatterjee, Sourav, Crawford, Nick
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 particular focus on obtaining a quenched central limit theorem for the energy
Externí odkaz:
http://arxiv.org/abs/0810.3279
Autor:
Crawford, Nick
We study aspects of the thermodynamics of quantum versions of spin glasses. By means of the Lie-Trotter formula for exponential sums of operators, we adapt methods used to analyze classical spin glass models to answer analogous questions about quantu
Externí odkaz:
http://arxiv.org/abs/math-ph/0610031
Publikováno v:
European Journal of Innovation Management, 2003, Vol. 6, Issue 1, pp. 8-17.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/14601060310459163
Autor:
Avermaete, Tessa *, Viaene, Jacques &, Morgan, Eleanor J. with, Pitts, Eamonn, Crawford, Nick, Mahon, Denise
Publikováno v:
In Trends in Food Science & Technology 2004 15(10):474-483
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