Singular statistics

Eugène Bogomolny, Ulrich Gerland, Charles Schmit

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

45 Zitate (Scopus)

Abstract

We consider the statistical distribution of zeros of random meromorphic functions whose poles are independent random variables. It is demonstrated that correlation functions of these zeros can be computed analytically, and explicit calculations are performed for the two-point correlation function. This problem naturally appears in, e.g., rank-1 perturbation of an integrable Hamiltonian and, in particular, when a δ-function potential is added to an integrable billiard.

OriginalspracheEnglisch
FachzeitschriftPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Jahrgang63
Ausgabenummer3
DOIs
PublikationsstatusVeröffentlicht - 2001
Extern publiziertJa

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