Generalized Stealthy Hyperuniform Processes: Maximal Rigidity and the Bounded Holes Conjecture

We study translation invariant stochastic processes on R d or Z d whose diffraction spectrum or structure function S ( k ), i.e. the Fourier transform of the truncated total pair correlation function, vanishes on an open set U in the wave space. A key family of such processes are “stealthy” hyperuni...

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Veröffentlicht in:	Communications in mathematical physics 2018-10, Vol.363 (1), p.97-110
Hauptverfasser:	Ghosh, Subhroshekhar, Lebowitz, Joel L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Fourier transforms Mathematical and Computational Physics Mathematical Physics Physics Physics and Astronomy Quantum Physics Relativity Theory Rigidity Stationary processes Stochastic processes Theoretical
Online-Zugang:	Volltext
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