dc.contributor
Centre de Recerca Matemàtica
dc.contributor.author
Antezana, Jorge
dc.contributor.author
Buckley, Jeremiah
dc.contributor.author
Marzo Sánchez, Jordi
dc.contributor.author
Olsen, Jan-Fredrik
dc.date.accessioned
2012-11-13T10:45:22Z
dc.date.accessioned
2024-09-19T13:32:34Z
dc.date.available
2012-11-13T10:45:22Z
dc.date.available
2024-09-19T13:32:34Z
dc.identifier.uri
http://hdl.handle.net/2072/203578
dc.description.abstract
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.
eng
dc.format.extent
10 p.
cat
dc.publisher
Centre de Recerca Matemàtica
cat
dc.relation.ispartofseries
Prepublicacions del Centre de Recerca Matemàtica;1058
dc.rights
info:eu-repo/semantics/openAccess
dc.rights
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/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Funcions analítiques
cat
dc.subject.other
Probabilitats
cat
dc.title
Gap probabilities for the cardinal sine
cat
dc.type
info:eu-repo/semantics/preprint
cat
