Ítem
Solo Metadatos
On convergence to equilibrium distribution, II. The wave equation in odd dimensions, with mixing
| dc.creator | Dudnikova, T. V. | spa |
| dc.creator | Komech, A. I. | spa |
| dc.creator | Ratanov, N. E. | spa |
| dc.creator | Suhov, Y. M. | spa |
| dc.date.accessioned | 2020-08-19T14:40:00Z | |
| dc.date.available | 2020-08-19T14:40:00Z | |
| dc.date.created | 2002-09 | spa |
| dc.description.abstract | The paper considers the wave equation, with constant or variable coefficients in ?n, with odd n?3. We study the asymptotics of the distribution ? t of the random solution at time t ? ? as t ? ?. It is assumed that the initial measure ? 0 has zero mean, translation-invariant covariance matrices, and finite expected energy density. We also assume that ? 0 satisfies a Rosenblatt- or Ibragimov–Linnik-type space mixing condition. The main result is the convergence of ? t to a Gaussian measure ? ? as t ? ?, which gives a Central Limit Theorem (CLT) for the wave equation. The proof for the case of constant coefficients is based on an analysis of long-time asymptotics of the solution in the Fourier representation and Bernstein's “room-corridor” argument. The case of variable coefficients is treated by using a version of the scattering theory for infinite energy solutions, based on Vainberg's results on local energy decay. | eng |
| dc.format.mimetype | application/pdf | |
| dc.identifier.doi | https://doi.org/10.1023/A:1019755917873 | |
| dc.identifier.issn | ISSN: 0022-4715 | |
| dc.identifier.issn | EISSN: 1572-9613 | |
| dc.identifier.uri | https://repository.urosario.edu.co/handle/10336/26665 | |
| dc.language.iso | eng | spa |
| dc.publisher | Springer Nature | spa |
| dc.relation.citationEndPage | 1253 | |
| dc.relation.citationIssue | No. 5-6 | |
| dc.relation.citationStartPage | 1219 | |
| dc.relation.citationTitle | Journal of Statistical Physics | |
| dc.relation.citationVolume | Vol. 108 | |
| dc.relation.ispartof | Journal of Statistical Physics, ISSN: 0022-4715;EISSN: 1572-9613, Vol.108 No.5-6 (2002); pp. 1219–1253 | spa |
| dc.relation.uri | https://link.springer.com/article/10.1023/A%3A1019755917873 | spa |
| dc.rights.accesRights | info:eu-repo/semantics/restrictedAccess | |
| dc.rights.acceso | Restringido (Acceso a grupos específicos) | spa |
| dc.source | Journal of Statistical Physics | spa |
| dc.source.instname | instname:Universidad del Rosario | |
| dc.source.reponame | reponame:Repositorio Institucional EdocUR | |
| dc.subject.keyword | Wave quation | spa |
| dc.subject.keyword | Cauchy problem | spa |
| dc.subject.keyword | Random initial data | spa |
| dc.subject.keyword | Mixing condition | spa |
| dc.subject.keyword | Fourier transform | spa |
| dc.subject.keyword | Convergence to a Gaussian measure | spa |
| dc.subject.keyword | Covariance functions and matrices | spa |
| dc.title | On convergence to equilibrium distribution, II. The wave equation in odd dimensions, with mixing | spa |
| dc.title.TranslatedTitle | Sobre la convergencia a la distribución de equilibrio, II. La ecuación de onda en dimensiones impares, con mezcla | spa |
| dc.type | article | eng |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | |
| dc.type.spa | Artículo | spa |
