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Logarithmico-exponential series and fractal analysis
Multi angle
Authors : Rolin, Jean-Philippe (Author of the conference)
CIRM (Publisher )
14P15 - Real analytic and semianalytic sets [See also 32B20, 32C05]
32C05 - Real-analytic manifolds, real-analytic spaces [See also 14Pxx, 58A07]
CIRM (Publisher )
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Abstract :
We will describe a new approach to the study of discrete dynamical systems on the real line, which consists in considering their orbits as "fractal objetcs". In particular, the formal classification of analytic systems can be reproven with this method. We will also explain the main lines of a program devoted to the study of some non analytic systems. These are generated by maps which admit a specific type of transseries (Dulac's transseries) as asymptotic expansions.
MSC Codes : 14P15 - Real analytic and semianalytic sets [See also 32B20, 32C05]
32C05 - Real-analytic manifolds, real-analytic spaces [See also 14Pxx, 58A07]
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 12/11/15 Conference Date : 15/10/15 Subseries : Research talks arXiv category : Classical Analysis and ODEs Mathematical Area(s) : Algebra ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:08:30 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-10-15_Rolin.mp4 
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Information on the Event
Event Title : Ordered algebraic structures and related topics / Structures algébriques ordonnées et leurs interactionsEvent Organizers : Broglia, Fabrizio ; Delon, Françoise ; Dickmann, Max ; Gondard, Danielle Dates : 12/10/15 - 16/10/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1155.html
Citation Data
DOI : 10.24350/CIRM.V.18863803Cite this video as: Rolin, Jean-Philippe (2015). Logarithmico-exponential series and fractal analysis. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18863803 URI : http://dx.doi.org/10.24350/CIRM.V.18863803 |
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