This is the web page of 

Stéphane Seuret

Associate Professor           

Laboratoire d'Analyse et de Mathématiques Appliquées
Université Paris Est Créteil - Val de Marne
Batiment P3 4ème étage Bureau 435 c 
61, avenue du Général de Gaulle 
94 010 CRETEIL Cedex
FRANCE
Curriculum Vitae:         cv Seuret
                                        *

Téléphone :

 + 33 1 45 17 65 76

Fax : 

 + 33 1 45 17 16 49

e-mail : 

  adresse e-mail


   

balle Research interests :

  • Local regularity of functions, essentially using wavelet methods.  Multifractal analysis of functions.
  • Multifractal analysis of probability measures (Gibbs measures, ...).
  • Dynamical Systems, Ergodic theory.
  • Geometric measure theory.
  • Ubiquity theory and Diophantine approximation.
  • Local regularity of stochastic processes.
  • Multi-scale methods, Applications to heart beats rates analysis.
 

balle   ANR MUTADIS (Multifractales et Théorie Métrique de l'Approximation                 Diophantienne)      Web

            Porteur: S. Seuret  (2012-2016).

            Membres: J. Barral (Paris XIII), A. Durand (Paris-Sud), L. Liao (Paris XII).
  From MUTADIS to Riemann Series

 *  GDR Analyse multifractale.

            Site web du GDR ici.  

*  ANR DMASC (Scaling invariance of Cardiac Signals, Dynamical Systems and Multifractal analysis) 

            Porteur: J. Barral  (2009-2012).

            Site web de l'ANR ici.  

 


* Organization of Conferences and Seminars : 

         - Séminaire Cristolien d'Analyse Multifractale (SCAM)



          -  new  Fractals and Related Fields III, Porquerolles, 19-25 Septembre 2015: Poster FARF 3
          - Fractals and Related Fields II, Porquerolles, June 13th-17th 2011:

                       The conference is finished (it was really nice!!)!!
Poster FARF 2

         - Wavelets and Fractals  , Esneux (Belgium), April 26-28 2010.  

         - Fractals and Related Fields - Septembre 2007 - Tunisia


* Publications : 
balle Books as editor:
  • [B3]  Volume de "La gazette des Mathématiciens" en l'honneur de Benoit Mandelbrot.  

    Stéphane Jaffard, Stéphane Seuret, Editeurs
    A paraitre en 2013 (Avril).
Gazette Mandelbrot

  • [B2]   New developments in Fractals and related Fields


    Julien Barral, Stéphane Seuret, Editors.
    Published by Birkhauser. Février 2013. ISBN 978-0-8176-8400-6
    You can order it there.
Book Farf2

  • [B1]   Recent developments in Fractals and related Fields


    Julien Barral, Stéphane Seuret, Editors
    419 pages, published in July 2010 by Birkhauser ( ISBN 978-0-8176-4887-9 ).



    You can order it there.
balle Research articles:
  • [47]  Multifractal analysis for the  occupation measure of stable-like processes,    avec X. Yang.
    manuscrit
  • [46]   Inhomogeneous coverings of topological Markov shifts
    manuscrit
  • [45]   Random sparse sampling in a Gibbs weighted tree    avec J. Barral.
    manuscrit
  • [44]   Local $L^2$-regularity of Riemann's Fourier series,     avec A Ubis.
    manuscrit
  • [43] HM-measures with disjoint spectra and monoholder monotone functions,     avec Z. Buczolich. (ce papier contient des
    constructions qui prouvent l'optimalité des résultats de l'article [38])
    A paraitre dans Real Anal. Exchange, 2016. manuscrit
  • [42]   Multifractal analysis in Heisenberg and Carnot groups,     avec F. Vigneron.
    A paraitre dans J. Institut Mathématique de Jussieu, 2016. manuscrit
  • [41]   Multifractal analysis and wavelets.
    Notes de cours de l'ecole CIMPA "New Trends in Applied Harmonic Analysis". manuscrit
    Paru dans "New Trends in Applied Harmonic Analysis", Eds: A. Aldroubi, C. Cabrelli, S. Jaffard, U. Molter, SPringer, 2016.
  • [40]   Fixed points for the multifractal spectrum map,     avec D. Maman.
    Constructive approximation 43(3) 337-356, 2016. manuscrit
  • [39]   Quantitative recurrence properties in conformal Iterated Function Systems,     avec B. Wang.
    Advances in Mathematics, 280 (6) 472--505, 2015. manuscrit
  • [38]   Hardy-Littlewood series and even continued fractions avec T. Rivoal.
    J. d'Analyse Mathématique, 125(1) 175--225, 2015. manuscrit
  • [37]   Measures and functions with prescribed singularity spectrum,     avec Z. Buczolich.
    J. Fractal Geometry 1(3)  295-333 2014.  manuscrit
  • [36]   On measures resisting multifractal analysis,     avec J. Schmeling. 
    Article dans le livre « Nonlinear Dynamics, New Directions: Theoretical Aspects (or Models and Applications),
    González-Aguilar, H. and Ugalde, E (eds.), New York, Springer. 2014.  manuscrit
  • [35]   Quelques résultats d'analyse multifractale en analyse.
    Séminaire Laurent Schwarz - EDP et applications, 2012-2013, exposé XVI, 21p. manuscrit
  • [34]   Local multifractal analysis,     avec J. Barral, A. Durand, S. Jaffard.
    Article dans le livre "Applications of Fractals and Dynamical Systems in Science and Economics", Contempory Mathematics,
    edité par D. Carfi, M. L. Lapidus, E. J. Pearse, and M. van Frankenhuijsen. manuscrit
  • [33]  Dimensions of some fractals defined via the semi-group generated by 2 and 3    avec Y. Peres, J. Schmeling, B. Solomyak.
    Israel J. Math. 199 (2), 687–709 2014. manuscrit
  • [32]   Diophantine Approximation by orbits of expanding Markov maps,    avec L. Liao.
    Ergod. Th. Dyn. Syst., 33(2) 585-608 2013. manuscrit
  • [31]   Local behavior of traces of Besov functions: Prevalent results,     avec J.-M. Aubry, D. Maman.
    J. Func. Anal. 264(3) 631-660,  2013.  manuscrit
  • [31]   Local behavior of traces of Besov functions: Prevalent results,     with J.-M. Aubry, D. Maman.
    J. Func. Anal. 264(3) 631-660,  2013.  manuscrit
  • [30]   Multiscale Heart Rate Variability via Large Deviations Estimates, with P. Loiseau, C. Médigue, P. Gonçalves,
    N. Attia, F. Cottin, D. Chemla, M. Sorine and J. Barral.
    Physica A 391 (2012) 5658–5671. manuscrit
  • [29]   Holder spectrum of functions monotone in several variables,    with Z. Buczolich.
    J. Math. Anal. and Applications, 382(1), 110-126, 2011. manuscrit
  • [28]   Singularity spectrum of generic $\alpha$-Holder regular functions after time subordination,     with Z. Buczolich.
    J. Fourier Analysis and its Applications, 17(3), 457-485, 2011. manuscrit
  • [27]   A localized Jarnik-Besicovich theorem,     with J. Barral.
    Adv. Math. 226(4) 3191-3215, 2011. manuscrit (submitted)  manuscrit for R^d (unpublished) 
  • [26]   Typical measures on [0,1]^d satisfy a multifractal formalism,     with Z. Buczolich.
    Nonlinearity, Vol. 23(11) 2010. manuscrit
  • [25]  A pure jump Markov process with a random singularity spectrum,     with J. Barral, N. Fournier, S. Jaffard.
    Ann. Proba., 38 (5) 1924–1946, 2010.  manuscrit
  • [24]   Holder regularity of $\mu$-similar functions,     with M. Ben Abid.
    Const. Approx., 31(1) 69–-93, 2010.
  • [23]   The singularity spectrum of the inverse of cookie cutters,    with J. Barral.
    Ergod. Th. Dyn. Syst., 29 (4) 1075--1095, 2009. manuscrit
  • [22]   On multifractality and time subordination for continuous functions.
    Adv. Math., 220(3) 936-963, 2009.  manuscrit
  • [21]   Ubiquity and large intersections properties under digit frequencies constraints,    with J. Barral.
    Math. Proc. Cambridge Philos. Soc., 145(3) 527-548, 2008. manuscrit
  • [20]   The singularity spectrum of the Fish's boundary,    with J. Brémont.
    Ergod. Th. Dyn. Syst., 28(1) 49--66, 2008. manuscrit
  • [19]   The multifractal nature of heterogeneous sums of Dirac masses,    with J. Barral.
    Math. Proc. Cambridge Philos. Soc., 144(3) 707-727, 2008. manuscrit
  • [18]   On multifractal time subordination (Sur le changement de temps multifractal).
    C. R. Acad. Sci. Paris Sér. I, 346(1-2) 11-16, 2008.
  • [17]   Information parameters and large deviations spectrum of discontinuous measures,    with J. Barral.
    Real Analysis Exchange, 32(2), 429-454, 2007. manuscrit
  • [16]   Threshold and Hausdorff spectrum of discontinuous measures,    with J. Barral.
    Real Analysis Exchange, 32(2), 455-472, 2007. manuscrit
  • [15]   The singularity spectrum of Lévy processes in multifractal time,    with J. Barral.
    Adv. Math., 14 (1), 437-468, 2007.  manuscrit
  • [14]   Heterogeneous ubiquitous systems in R^d and Hausdorff dimensions,    with J. Barral.
    Bull. Brazilian Math. Soc., 38(3), 467-515, 2007.  manuscrit
  • [13]   Renewal of singularity sets of statistically self-similar measures,    with J. Barral.
    Adv. Appl. Prob., 39(1), 162-188, 2007.  manuscrit
  • [12]   Detecting and creating oscillations using multifractal methods.
    Math. Nachr. 279(11), 1195-1211, 2006. manuscrit
  • [11]   Inside singularity sets of random Gibbs measures,    with J. Barral.
    J. Stat. Phys., 120(5-6), 1101-1124, 2005.  manuscrit
  • [10]   A class of multifractal semi-stable processes including Lévy subordinators and Mandelbrot multiplicative cascades,    with J. Barral.
    C. R. Acad. Sci. Paris Sér. I , 341(9), 579-582, 2005. (Independent note)
  • [9]   Combining multifractal additive and multiplicative chaos,    with J. Barral.
    Commun. Math. Phys. 257(2), 473-497, 2005.  manuscrit
  • [8]   From multifractal measures to multifractal wavelet series,    with J. Barral.
    J. Fourier Anal. and App., 11(5), 589-614, 2005.  manuscrit
  • [7]   Multifractal wavelet series built using multifractal measures,    with J. Barral.
    C. R. Acad. Sci. Paris Sér. I 341, 353-356, 2005.
  • [6]   Function series with multifractal variations,    with J. Barral.
    Math. Nachr. 274-275 3-18, 2004.  manuscrit
  • [5]   Sums of Dirac masses and conditioned ubiquity,    with J. Barral.
    C. R. Acad. Sci. Paris, Sér. I 339, 787-792, 2004.
  • [4]   2-microlocal analysis,    with J. Lévy Véhel.
    In Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot,
    Proc. Symp. Pure Math., AMS, Providence RI, 2004, 67 pages, 2003. manuscrit
  • [3]   A time domain characterization of 2-microlocal spaces,    with J. Lévy Véhel.
    J. Four. Anal. App., 9(5) 473-495, 2003.  manuscrit
  • [2]   The local Holder function of a continuous function,    with J. Lévy Véhel.
    Appl. Comput. Harmon. Anal., 13(3) 263--276, 2002.  manuscrit
  • [1]   Pointwise Holder exponent estimation    with A. Gilbert.
    IP Traffic Measurement, Modeling and Management, Monterey, CA, USA, September 18-20, 2000.
balle Earlier work :
  • [0]   Wavelets methods for the numerical resolution of elliptic equations    with P. Raphael.
    Prix d'option - Palaiseau: Ecole Polytechnique, 1-122, 1998
* Habilitation and PhD Thesis:
  • Analyse multifractale et approximation diophantienne.
    Mémoire d'habilitation à diriger des recherches (November 2008).
    manuscrit
  • Analyse de régularité locale, quelques applications à l'analyse multifractale.
    PhD defended November 5th, 2003, at the Ecole Polytechnique (France).
    manuscrit


   


* Collaborators :

 
   

* Enseignement :

  • Cours d'Arithmétique et Groupes, L1: Polycopié , TD Arithmétique.
  • L1 Algèbre Linéaire (SPI et Physique): Polycopié , TD.
  • Topologie et Fonctions de plusieurs variables, L2: TD Fcts.
  • Probabilités, L3: TD Probas.
  • Fonctions holomorphes, M1: TD.
  • Ondelettes et traitement du signal: TD.
  • M2 Analyse mutifractale: me contacter.


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