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Comparison of exit moment spectra for extrinsic metric balls
dc.contributor.author | Hurtado, Ana | |
dc.contributor.author | Markvorsen, Steen | |
dc.contributor.author | Palmer Andreu, Vicente | |
dc.date.accessioned | 2012-05-29T11:01:32Z | |
dc.date.available | 2012-05-29T11:01:32Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | HURTADO, Ana; MARKVORSEN, Steen; PALMER, Vicente. Comparison of exit moment spectra for extrinsic metric balls. Potential Analysis, 2012, vol. 36, no 1, p. 137-153. | ca_CA |
dc.identifier.issn | 0926-2601 | |
dc.identifier.issn | 1572-929X | |
dc.identifier.uri | http://hdl.handle.net/10234/39100 | |
dc.description.abstract | We prove explicit upper and lower bounds for the L1-moment spectra for the Brownian motion exit time from extrinsic metric balls of submanifolds Pm in ambient Riemannian spaces Nn. We assume that P and N both have controlled radial curvatures (mean curvature and sectional curvature, respectively) as viewed from a pole in N. The bounds for the exit moment spectra are given in terms of the corresponding spectra for geodesic metric balls in suitably warped product model spaces. The bounds are sharp in the sense that equalities are obtained in characteristic cases. As a corollary we also obtain new intrinsic comparison results for the exit time spectra for metric balls in the ambient manifolds Nn themselves. | ca_CA |
dc.format.extent | 15 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Springer Science+Business Media B.V. | ca_CA |
dc.rights | © Springer Science+Business Media B.V. 2011 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Riemannian submanifolds | ca_CA |
dc.subject | Extrinsic balls | ca_CA |
dc.subject | Torsional rigidity | ca_CA |
dc.subject | L1-moment spectra | ca_CA |
dc.subject | Exit time | ca_CA |
dc.subject | Isoperimetric inequalities | ca_CA |
dc.subject.lcsh | Spectral theory (Mathematics) | ca_CA |
dc.subject.other | Teoria espectral (Matemàtica) | ca_CA |
dc.title | Comparison of exit moment spectra for extrinsic metric balls | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1007/s11118-011-9223-3 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://link.springer.com/content/pdf/10.1007%2Fs11118-011-9223-3.pdf | |
dc.type.version | info:eu-repo/semantics/submittedVersion | ca_CA |
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