"Non UBC"@en . "DSpace"@en . "Terhesiu, Dalia"@en . "2015-07-23T06:03:07Z"@en . "2015-01-21"@en . "In recent work, I. Melbourne and D. Terhesiu, 2014 obtain optimal results for the asymptotic of the correlation function associated with both finite and infinite measure preserving suspen- sion semiflows over Gibbs Markov maps. The involved observables are supported on a thick- ened Poincare section. The involved renewal scheme relies on inducing to such a section. In more recent work with H. Bruin, we investigate a di\u00E2\u0086\u00B5erent renewal scheme for suspension flows over non uniformly hyperbolic maps: we induce to a well chosen region Y of the same dimension as the manifold (on which the flow is defined); we do not require that Y is of bounded length. By forcing expansion on the flow direction, we can ensure that the induced version of the flow is a hyperbolic map F. Although at first counter-intuitive, such a scheme ensures that the ob- tained hyperbolic map F satisfies good spectral properties. Combined with the type of renewal equation established in Melbourne and Terhesiu, 2014 and several abstract assumptions on the hyperbolic map F (and thus on the underlying map of the suspension flow), this scheme allows us to estimate the correlation function of observables supported on the whole region Y."@en . "https://circle.library.ubc.ca/rest/handle/2429/54137?expand=metadata"@en . "49 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: University of Vienna"@en . "10.14288/1.0044850"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivs 2.5 Canada"@en . "http://creativecommons.org/licenses/by-nc-nd/2.5/ca/"@en . "Postdoctoral"@en . "BIRS Workshop Lecture Videos (Banff, Alta)"@en . "Mathematics"@en . "Dynamical systems and ergodic theory"@en . "Probability theory and stochastic processes"@en . "Dynamical systems"@en . "A renewal scheme for non uniformly hyperbolic flows"@en . "Moving Image"@en . "http://hdl.handle.net/2429/54137"@en .