The sine-process has excess one
Alexander I. Bufetov
TL;DR
This paper investigates the properties of the sine-process, showing that removing particles affects its role as a uniqueness or zero set in the Paley-Wiener space, revealing new insights into its structure.
Contribution
It establishes the effects of removing particles from the sine-process on its classification as a uniqueness or zero set in the Paley-Wiener space.
Findings
Removing one particle makes the sine-process a uniqueness set.
Removing two particles makes it a zero set.
Almost every realization exhibits these properties.
Abstract
The main result of this paper is that almost every realization of the sine-process with one particle removed is a uniqueness set for the Paley-Wiener space; with two particles removed, a zero set for the Paley-Wiener space.
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Taxonomy
Topicsadvanced mathematical theories · Algebraic and Geometric Analysis · Quantum Mechanics and Applications