arXiv:1608.07496 Abstract | arXiv Analytics

arXiv:1608.07496 [math.PR]Abstract References Reviews Resources

Fluctuations, large deviations and rigidity in hyperuniform systems: a brief survey

Published 2016-08-26Version 1

We present a brief survey of fluctuations and large deviations of particle systems with subextensive growth of the variance. These are called hyperuniform (or superhomogeneous) systems. We then discuss the relation between hyperuniformity and rigidity. In particular we give sufficient conditions for rigidity of such systems in d=1,2.

Categories: math.PR, cond-mat.stat-mech, math-ph, math.MP

Keywords: large deviations, brief survey, hyperuniform systems, fluctuations, particle systems

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