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Estimates of the first Dirichlet eigenvalue from exit time moment spectra
dc.contributor.author | Hurtado, Ana | |
dc.contributor.author | Markvorsen, Steen | |
dc.contributor.author | Palmer Andreu, Vicente | |
dc.date.accessioned | 2016-11-11T14:56:44Z | |
dc.date.available | 2016-11-11T14:56:44Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Hurtado, A., Markvorsen, S. & Palmer, V. Math. Ann. (2016) 365: 1603. doi:10.1007/s00208-015-1316-7 | ca_CA |
dc.identifier.issn | 0025-5831 | |
dc.identifier.issn | 1432-1807 | |
dc.identifier.uri | http://hdl.handle.net/10234/164408 | |
dc.description.abstract | We compute the first Dirichlet eigenvalue of a geodesic ball in a rotationally symmetric model space in terms of the moment spectrum for the Brownian motion exit times from the ball. As an application of the model space theory we prove lower and upper bounds for the first Dirichlet eigenvalues of extrinsic metric balls in submanifolds of ambient Riemannian spaces which have model space controlled curvatures. Moreover, from this general setting we thereby obtain new generalizations of the classical and celebrated results due to McKean and Cheung–Leung concerning the fundamental tones of Cartan–Hadamard manifolds and the fundamental tones of submanifolds with bounded mean curvature in hyperbolic spaces, respectively. | ca_CA |
dc.description.sponsorShip | Supported by the Spanish Mineco-FEDER grant MTM2010-21206-C02-01 and Junta de Andalucia grants FQM-325 and P09-FQM-5088. Supported by the Spanish Mineco-FEDER grant MTM2010-21206-C02-02 and by the Pla de Promocio de la Investigació de la Universitat Jaume I | ca_CA |
dc.format.extent | 25 p. | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer Verlag | ca_CA |
dc.relation.isPartOf | Math. Ann. (2016) 365:1603–1632 | ca_CA |
dc.rights | © Springer-Verlag Berlin Heidelberg 2015. "The final publication is available at Springer via http://dx.doi.org/10.1007/s00208-015-1316-7" | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.title | Estimates of the first Dirichlet eigenvalue from exit time moment spectra | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1007/s00208-015-1316-7 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://link.springer.com/article/10.1007/s00208-015-1316-7 | ca_CA |
dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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