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Title:
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Gap probabilities for the cardinal sine
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Author:
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Antezana, Jorge; Buckley, Jeremiah; Marzo Sánchez, Jordi; Olsen, Jan-Fredrik
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Other authors:
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Centre de Recerca Matemàtica |
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Abstract:
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We study the zero set of random analytic functions generated by a sum of the cardinal sine functions which form an orthogonal basis for the Paley-Wiener space. As a model case, we consider real-valued Gaussian coefficients. It is shown that the asymptotic probability that there is no zero in a bounded interval decays exponentially as a function of the length. |
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Publication date:
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2011 |
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Subject (UDC):
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519.1 - Teoria general de l'anàlisi combinatòria. Teoria de grafs |
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Subject(s):
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Funcions analítiques
Probabilitats |
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Rights:
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L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
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Pages:
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10 p. |
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Document type:
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Preprint |
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Share:
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