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Documents  Seuret, Stéphane | enregistrements trouvés : 3

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- xx; 419 p.
ISBN 978-0-8176-4887-9

Applied and numerical harmonic analysis

Localisation : Colloque 1er étage (MONA)

analyse harmonique # système dynamique dérivable # analyse fonctionnelle # equation différentielle aux dérivées partielles # géompétrie # distribution # probabilités

28Axx ; 37Dxx ; 35Jxx ; 43AXX ; 46Exx ; 60Gxx ; 68R15 ; 28C10 ; 42C40 ; 47A10 ; 28-06 ; 28A80 ; 37D45 ; 00B25

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Research talks;Dynamical Systems and Ordinary Differential Equations

Multifractal properties of data coming from many scientific fields (especially in turbulence) are now rigorously established. Unfortunately, the parameters measured on these data do not correspond to those mathematically obtained for the typical (or almost sure) functions in the standard functional spaces: Hölder, Sobolev, Besov…
In this talk, we introduce very natural Besov spaces in which typical functions possess very rich scaling properties, mimicking those observed on data for instance. We obtain various characterizations of these function spaces, in terms of oscillations or wavelet coefficients.
Combining this with the construction of almost-doubling measures with prescribed scaling properties, we are able to bring a solution to the so-called Frisch-Parisi conjecture. This is a joint work with Julien Barral (Université Paris-Nord).
Multifractal properties of data coming from many scientific fields (especially in turbulence) are now rigorously established. Unfortunately, the parameters measured on these data do not correspond to those mathematically obtained for the typical (or almost sure) functions in the standard functional spaces: Hölder, Sobolev, Besov…
In this talk, we introduce very natural Besov spaces in which typical functions possess very rich scaling properties, ...

37F35

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- xiii; 288 p.
ISBN 978-0-8176-8399-3

Trends in mathematics

Localisation : Ouvrage RdC (FURT)

fractales # théorie géométrique de la mesure # théorie ergodique # système dynamique # analyse harmonique # analyse multifractale # théorie des nombres # probabilités

11Kxx ; 26Axx ; 28Axx ; 28Dxx ; 30-XX ; 37-XX ; 40Axx ; 42Axx ; 60Gxx ; 28-06 ; 28A80 ; 60G60

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