caa a22 4500 46789115X CHVBK 20180406152749.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10955-006-9140-9 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9140-9 Suspension Flows Over Countable Markov Shifts [Elektronische Daten] [Luis Barreira, Godofredo Iommi] We introduce the notion of topological pressure for suspension flows over countable Markov shifts, and we develop the associated thermodynamic formalism. In particular, we establish a variational principle for the topological pressure, and an approximation property in terms of the pressure on compact invariant sets. As an application we present a multifractal analysis for the entropy spectrum of Birkhoff averages for suspension flows over countable Markov shifts. The domain of the spectrum may be unbounded and the spectrum may not be analytic. We provide explicit examples where this happens. We also discuss the existence of full measures on the level sets of the multifractal decomposition. Springer Science + Business Media, Inc., 2006 countable Markov shifts nationallicence suspension flows nationallicence 2000 Mathematics Subject Classification Primary: 37D35 nationallicence Barreira Luis Departamento de Matemática, Instituto Superior Técnico, 1049-001, Lisboa, Portugal aut Iommi Godofredo Departamento de Matemática, Instituto Superior Técnico, 1049-001, Lisboa, Portugal aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/1(2006-07-01), 207-230 0022-4715 124:1<207 2006 124 10955 https://doi.org/10.1007/s10955-006-9140-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9140-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Barreira Luis Departamento de Matemática, Instituto Superior Técnico, 1049-001, Lisboa, Portugal aut NATIONALLICENCE 700 1- Iommi Godofredo Departamento de Matemática, Instituto Superior Técnico, 1049-001, Lisboa, Portugal aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/1(2006-07-01), 207-230 0022-4715 124:1<207 2006 124 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer