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pro vyhledávání: '"Anibal Velozo"'
In this paper, we study pointwise decay estimates in time for Vlasov fields on non-trapping asymptotically hyperbolic manifolds. We prove optimal decay estimates in time for the spatial density induced by Vlasov fields on these geometric backgrounds
Externí odkaz:
http://arxiv.org/abs/2312.13496
In this paper, we study small data solutions to the Vlasov-Poisson system with the simplest external potential, for which unstable trapping holds for the associated Hamiltonian flow. First, we provide a new proof of global existence for small data so
Externí odkaz:
http://arxiv.org/abs/2310.17424
In this paper, we study small data solutions for the Vlasov-Poisson system with the simplest external potential, for which unstable trapping holds for the associated Hamiltonian flow. We prove sharp decay estimates in space and time for small data so
Externí odkaz:
http://arxiv.org/abs/2304.12017
Autor:
Anibal Velozo, Godofredo Iommi
Publikováno v:
Nonlinearity. 34:3936-3952
In this note we prove two related results. First, we show that for certain Markov interval maps with infinitely many branches the upper box dimension of the boundary can be read from the pressure of the geometric potential. Secondly, we prove that th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e206e19ef4dc6ddeed8695fbdba730c8
https://doi.org/10.1088/1361-6544/abfecf
https://doi.org/10.1088/1361-6544/abfecf
Funding: GI was partially supported by CONICYT PIA ACT172001 and by Proyecto Fondecyt 1190194. AV was supported by Proyecto Fondecyt Iniciación 11220409. In this paper we study ergodic theory of countable Markov shifts. These are dynamical systems d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::317aec4bc7fe81b0b860552f002c495b
https://hdl.handle.net/10023/27768
https://hdl.handle.net/10023/27768
Publikováno v:
Mathematical Research Letters. 27:1055-1077
We prove that the entropy map for countable Markov shifts of finite entropy is upper semi-continuous at ergodic measures. Note that the phase space is non-compact. Applications to systems that can be coded by these shifts, such as positive entropy di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a0e19bd215756893ba88efe373e4cd3
https://doi.org/10.4310/mrl.2020.v27.n4.a4
https://doi.org/10.4310/mrl.2020.v27.n4.a4
Autor:
Felipe Riquelme, Anibal Velozo
In this paper we study aspects of the ergodic theory of the geodesic flow on a non-compact negatively curved manifold. It is a well known fact that every continuous potential on a compact metric space has a maximizing measure. Unfortunately, for non-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d07edd43406d534d361b7c956c68c51a
Autor:
Anibal Velozo, Godofredo Iommi
It is well known that the space of invariant probability measures for transitive sub-shifts of finite type is a Poulsen simplex. In this article we prove that in the non-compact setting, for a large family of transitive countable Markov shifts, the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ff5d7d65c736b167d4c5368dbf1d326
http://arxiv.org/abs/1901.07972
http://arxiv.org/abs/1901.07972
Autor:
Felipe Riquelme, Anibal Velozo
In this paper, we study the ergodic theory of the geodesic flow on negatively curved geometrically finite manifolds. We prove that the measure-theoretical entropy is upper semicontinuous when there is no loss of mass. In the case where mass is lost,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e02f13174b41171df39727fd2e8908e
http://arxiv.org/abs/1610.04683
http://arxiv.org/abs/1610.04683
Publikováno v:
34 pages, 4 figures. In this new version we have improved the organization of the paper and the c.. 2015
In this paper we study the geodesic flow for a particular class of Riemannian non-compact manifolds with variable pinched negative sectional curvature. For a sequence of invariant measures we are able to prove results relating the loss of mass and bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dde9f761408ca955bb5e256becadbb57
https://hal.archives-ouvertes.fr/hal-01237059
https://hal.archives-ouvertes.fr/hal-01237059