Files in this item
Recurrence and transience for suspension flows
Item metadata
dc.contributor.author | Iommi, Godofredo | |
dc.contributor.author | Jordan, Thomas | |
dc.contributor.author | Todd, Michael John | |
dc.date.accessioned | 2016-09-01T23:31:54Z | |
dc.date.available | 2016-09-01T23:31:54Z | |
dc.date.issued | 2015 | |
dc.identifier | 25745388 | |
dc.identifier | cff2fe53-aa7f-48ea-8729-33eac74bb4f4 | |
dc.identifier | 84945950467 | |
dc.identifier | 000364225700003 | |
dc.identifier.citation | Iommi , G , Jordan , T & Todd , M J 2015 , ' Recurrence and transience for suspension flows ' , Israel Journal of Mathematics , vol. 209 , no. 2 , pp. 547-592 . https://doi.org/10.1007/s11856-015-1229-x | en |
dc.identifier.issn | 0021-2172 | |
dc.identifier.other | ORCID: /0000-0002-0042-0713/work/54181496 | |
dc.identifier.uri | https://hdl.handle.net/10023/9416 | |
dc.description | Funding: Proyecto Fondecyt 1110040 for funding visit to PUC-Chile and partial support from NSF grant DMS 1109587. | en |
dc.description.abstract | We study the thermodynamic formalism for suspension flows over countable Markov shifts with roof functions not necessarily bounded away from zero. We establish conditions to ensure the existence and uniqueness of equilibrium measures for regular potentials. We define the notions of recurrence and transience of a potential in this setting. We define the renewal flow, which is a symbolic model for a class of flows with diverse recurrence features. We study the corresponding thermodynamic formalism, establishing conditions for the existence of equilibrium measures and phase transitions. Applications are given to suspension flows defined over interval maps having parabolic fixed points. | |
dc.format.extent | 46 | |
dc.format.extent | 455708 | |
dc.language.iso | eng | |
dc.relation.ispartof | Israel Journal of Mathematics | en |
dc.subject | QA Mathematics | en |
dc.subject | NDAS | en |
dc.subject | BDC | en |
dc.subject | R2C | en |
dc.subject.lcc | QA | en |
dc.title | Recurrence and transience for suspension flows | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1007/s11856-015-1229-x | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2016-09-01 |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.