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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore, 119076, Singapore

    Subhroshekhar Ghosh

  2. Center for Mathematical Sciences Research Rutgers, The State University of New Jersy, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USA

    Joel L. Lebowitz

Authors
  1. Subhroshekhar Ghosh
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  2. Joel L. Lebowitz
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Correspondence to Subhroshekhar Ghosh.

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Dedicated to Prof B.V. Rao on the occasion of his 70th birthday

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Ghosh, S., Lebowitz, J.L. Fluctuations, large deviations and rigidity in hyperuniform systems: A brief survey. Indian J Pure Appl Math 48, 609–631 (2017). https://doi.org/10.1007/s13226-017-0248-1

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