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dc.contributor.author
Markarian, R.
dc.contributor.author
Trivellato Rolla, Leonardo
dc.contributor.author
Sidoravicius, V.
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Tal, F. A.
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Vares, M. E.
dc.date.available
2017-06-26T16:40:36Z
dc.date.issued
2015-11
dc.identifier.citation
Markarian, R.; Trivellato Rolla, Leonardo; Sidoravicius, V.; Tal, F. A.; Vares, M. E.; Stochastic perturbations of convex billiards; IOP Publishing; Nonlinearity; 28; 12; 11-2015; 4425-4434
dc.identifier.issn
0951-7715
dc.identifier.uri
http://hdl.handle.net/11336/18875
dc.description.abstract
We consider a strictly convex billiard table with C 2 boundary, with the dynamics subjected to random perturbations. Each time the billiard ball hits the boundary its reflection angle has a random perturbation. The perturbation distribution corresponds to the physical situation where either the scale of the surface irregularities is smaller than but comparable to the diameter of the reflected object, or the billiard ball is not perfectly rigid. We prove that for a large class of such perturbations the resulting Markov chain is uniformly ergodic, although this is not true in general.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Billiard Systems
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Random Perturbations
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Uniform Ergodicity
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Invariant Measure
dc.subject.classification
Matemática Pura
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Stochastic perturbations of convex billiards
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-26T14:08:26Z
dc.journal.volume
28
dc.journal.number
12
dc.journal.pagination
4425-4434
dc.journal.pais
Reino Unido
dc.journal.ciudad
Bristol
dc.description.fil
Fil: Markarian, R.. Universidad de la Republica. Facultad de Ingeniería; Uruguay
dc.description.fil
Fil: Trivellato Rolla, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina
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Fil: Sidoravicius, V.. Jardim Botânico; Brasil
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Fil: Tal, F. A.. Universidade de Sao Paulo; Brasil
dc.description.fil
Fil: Vares, M. E.. Universidade Federal do Rio de Janeiro; Brasil
dc.journal.title
Nonlinearity
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/0951-7715/28/12/4425
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0951-7715/28/12/4425/meta
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1409.5617
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