Transience and multifractal analysis
Annales de l'Institut Henri Poincare (C) Non Linear Analysis
| dc.creator | Iommi-Echeverria, Godofredo | |
| dc.creator | Jordan, Thomas | |
| dc.creator | Todd, Mike | |
| dc.date | 2021-08-23T22:52:05Z | |
| dc.date | 2022-07-08T20:32:17Z | |
| dc.date | 2021-08-23T22:52:05Z | |
| dc.date | 2022-07-08T20:32:17Z | |
| dc.date | 2017 | |
| dc.date.accessioned | 2023-08-22T02:10:21Z | |
| dc.date.available | 2023-08-22T02:10:21Z | |
| dc.identifier | 1150058 | |
| dc.identifier | 1150058 | |
| dc.identifier | https://hdl.handle.net/10533/250916 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8309396 | |
| dc.description | We study dimension theory for dissipative dynamical systems, proving a conditional variational principle for the quotients of Birkhoff averages restricted to the recurrent part of the system. On the other hand, we show that when the whole system is considered (and not just its recurrent part) the conditional variational principle does not necessarily hold. Moreover, we exhibit an example of a topologically transitive map having discontinuous Lyapunov spectrum. The mechanism producing all these pathological features on the multifractal spectra is transience, that is, the non recurrent part of the dynamics. (C) 2016 Elsevier Masson SAS. All rights reserved. KeyWords Plus:COUNTABLE MARKOV SHIFTS | |
| dc.description | THERMODYNAMIC FORMALISM | |
| dc.description | HAUSDORFF DIMENSION | |
| dc.description | BIRKHOFF AVERAGES | |
| dc.description | TOPOLOGICAL-ENTROPY | |
| dc.description | CONTINUED FRACTIONS | |
| dc.description | SYSTEMS | |
| dc.description | SETS | |
| dc.description | MAPS | |
| dc.description | INTERVAL | |
| dc.description | Regular 2015 | |
| dc.description | FONDECYT | |
| dc.description | FONDECYT | |
| dc.language | eng | |
| dc.relation | handle/10533/111557 | |
| dc.relation | handle/10533/111541 | |
| dc.relation | handle/10533/108045 | |
| dc.relation | https://hal.archives-ouvertes.fr/hal-01138388v2/document | |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.rights | info:eu-repo/semantics/article | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.title | Transience and multifractal analysis | |
| dc.title | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | |
| dc.type | Articulo | |
| dc.type | info:eu-repo/semantics/publishedVersion |