• S. Jaffard, L. Liao, Q. Zhang, Oscillation based multifractal analysis, Preprint (2024)

• W. Ben Nasr, V. Billat, F. Palacin, G. Saës, Multifractal Analysis of Physiological Signals: A Novel Approach to Optimizing Pacing Strategy in a Pilot Study, Preprint (2024)

• S. Jaffard, L. Liao, Q. Zhang, Multivariate multifractal analysis of L\'evy functions. Part I: Determination of multifractal spectra, Preprint (2024)

• S. Jaffard, L. Liao, Q. Zhang, Multivariate multifractal analysis of L\'evy functions. Part II: Validity of the multifractal formalism, Preprint (2024)

• W. Ben Nasr, H. Halconruy, S. Jaffard, Multifractal analysis of random wavelet series with generalized Gaussian mixture statistics, Preprint (2024)

• W. Ben Nasr, H. Halconruy, S. Jaffard, Questioning Normality: A study of wavelet leaders distribution, Preprint (2024)

• J. Dubé, M. Foti, S. Jaffard, V. Latreille, B. Frauscher, J. Carrier, J.M. Lina, Rhythms and Background (RnB): The Spectroscopy of Sleep Recordings, preprint (2024)

• J. Lengyel, S. Roux, O. Bonin, S. Jaffard, P. Abry, A bivariate multifractal analysis approach to understanding the dynamics of socio-spatial segregation, Preprint (2024)

• P. Abry, P. Ciuciu, M. Dumeur, S. Jaffard, Saës, Multifractal analysis based on the weak scaling exponent and applications to MEG recordings in neuroscience, To appear in the Volume in honor of the 65th anniversary of Akram Aldroubi, Applied and Numerical Harmonic Analysis Series, Springer (2024)

• S. Jaffard, G. Saës, W. Ben Nasr, F. Palacin, V. Billat, The weak scaling multifractal spectrum: Mathematical setting and applications to marathon runners physiological data, To appear in the Proceedings of the FARF (Fractal And Related Fields) Conference (2024).

• M. Dora, D. Holcman, S. Jaffard, The WQN-algorithm for EEG artifact removal in the absence of scale invariance, Transactions on Signal Processing, Vol. 72, pp. 2663 - 2676 (2024)

• C. Esser, S. Jaffard, B. Vedel, Regularity properties of random wavelet series, Theory of Probability and Mathematical Statistics 110, pp. 31-53 (2024)

• J. Lengyel, S. Roux, S. Jaffard, O. Bonin, P. Abry, A bivariate multifractal analysis approach to understanding the dynamics of socio-spatial segregation, ECTQG 2023 (Braga, Portugal).

• S. Jaffard, G. Saës, W. Ben Nasr, F. Palacin, V. Billat, A review of univariate and multivariate multifractal analysis illustrated by the analysis of marathon runners physiological data, to appear in : Mathematical Analysis and Application - Plenary Lectures - ISAAC 2021, Springer Proceedings in Mathematics and Statistics, Ghent, Belgium. (2023)

• J. Lengyel, S. Roux, F. Semecurbe, S. Jaffard, P. Abry Roughness and intermittency within metropolitan regions, Environment and Planning B: Urban Analytics and City Science, 50(3), pp. 600-620, 2023

• S. Roux, J. Lengyel, P. Thiraux, S. Jaffard, O. Bonin, P. Abry, Analysis of scale invariance in nonuniformly sampled processes, GRETSI 2023 (Grenoble, France).

• J. Lengyel, S. Roux, P. Thiraux, P. Abry, O. Bonin, S. Jaffard Bivariate multifractal analysis for non-homogenous point processes, with application to geospatial data,
  European Signal Processing Conference (EUSIPCO) 2023 (Helsinki, Finland)

• S. Jaffard, H. Krim, The unreasonable effectiveness of Haar frames
  in Theoretical physics, wavelets, analysis, genomics: An indisciplinary tribute to Alex Grossmann Birkhäuser (2023)

• J. Lengyel, S. Roux, F. Semecurbe, S. Jaffard, P. Abry Local multifractality in urban systems-The case study of housing prices in the greater Paris region Journal of Physics: Complexity, Vol. 3 n. 4, (2022)

• M. Dora, S. Jaffard, D. Holcman The WQN algorithm to adaptively correct artifacts in the EEG signal
  Applied and Computational Harmonic Analysis, Vol. 61, pp. 347-356 (2022)

• P. Abry, Y. Malevergne, H. Wendt, S. Jaffard, M. Senneret, L. Jaffràs, Foreign Exchange Multivariate Multifractal Analysis,
  European Signal Processing Conference (EUSIPCO), Belgrad, Serbia, Aug. 2022

• G. Saës, W. Ben Nasr, S. Jaffard, F. Palacin, V. Billat, Analyse Multifractale des données physiologiques de marathoniens,
  Colloque GRETSI 2022 (Nancy, France)

• S. Roux, J. Lengyel, P. Abry, F. Semecurbe, S. Jaffard, Local multifractal analysis of marked spatial point processes , Colloque GRETSI 2022 (Nancy, France).

• S. Jaffard, H. Krim, Regularity properties of Haar Frames
  Comptes Rendus Mathématiques, Vol. 359, Issue 9, pp. 1107-1117 (2021)

• S. Jaffard Ondelettes en analyse multifractale: quelques interactions entre rigueur mathématique et les autres sciences
  Actes du Colloque Rigueur: Mathématiques, Musique, Philosophie, pp. 83-97 Eds. Thierry Paul et Michael Schmidt, Spartacus, 2021

• P. Abry, S. Roux, P. Messier, M. H. Ellis, S. Jaffard Multiscale anisotropic analysis for assessment of similarity between papers in a large Matisse print dataset
  Asilomar Proc. IEEE Asilomar Conf. Signals, Systems and Computers, Pacific Grove, USA, Nov. 2020

• C. Fermanian-Kammerer, S. Jaffard, G. Saes La parole à Jean Perrin: les corbes sans tangente Images des Mathématiques, Déc. 2020

• S. Jaffard, S. Seuret, H. Wendt, R. Leonarduzzi, P. Abry Multifractal formalisms for multivariate analysis
  Proc. Royal Society A, vol. 475, no. 2229, 2019

• S. Jaffard, S. Seuret, H. Wendt, R. Leonarduzzi, S. Roux, P. Abry Multivariate multifractal analysis
  Applied and Computational Harmonic Analysis, vol. 46, no. 3, pp. 653-663, 2019

• P. Abry, H. Wendt, S. Jaffard, G. Didier Multivariate scale-free temporal dynamics: From spectral (Fourier) to fractal (wavelet) analysis
  Comptes Rendus Mathématiques,vol. 20, no. 5, pp. 489-501, 2019

• R. Leonarduzzi, P. Abry, H. Wendt, S. Jaffard, H. Touchette A Generalized Multifractal Formalism for the Estimation of Nonconcave Multifractal Spectra
  IEEE Transactions on Signal Processing, Vol. 67 n. 1 pp. 110-119, 2019

• P. Abry, R. Leonarduzzi, H. Wendt, S. Jaffard, S. Seuret A multivariate multifractal analysis of lacunary wavelet series
  IEEE Int. Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), Guadeloupe, France, Dec. 2019

• P. Abry, S. Roux, A. Lundgren, P. Messier, A. Klein, H. Wendt, S. Jaffard F. Holland Day art photographic paper clustering: Automated procedures to assist photograph conservators?
  GRETSI Symposium Signal and Image Processing, Lille, France, Aug. 2019

• S. Jaffard Jean-Pierre Kahane: quelques instantanés
  Numéro spécial de la Gazette des Mathématiciens en l'honneur de Jean-Pierre Kahane, 2019

• P. Flandrin, S. Jaffard, J.-M. Morel L'analyse de Fourier, pilier du numerique
  Pour la Science n. 495, janv. 2019

• S. Jaffard, B. Martin Multifractal analysis of the Brjuno function
  Invent. Math., Volume 212, pp 109-132, 2018

• I. Scala, G. Rosi, V.-H. Nguyen, R. Vayron, G. Haiat, S. Seuret, S. Jaffard, S. Naili Ultrasonic characterization and multiscale analysis for the evaluation of dental implant stability: A sensitivity study
  Biomedical Signal Processing and Control Volume 42, Avril 2018, pp. 37-44, 2018

• C. Esser, S. Jaffard Divergence of wavelet series: A multifractal analysis
  Adv. in Math. vol. 328, pp. 928-958, 2018

• P. Flandrin, S. Jaffard, J.-M. Morel Fourier analysis today
  Proceedings of the annual conference of the Hellenistic Mathematical Society, 2018

• Q. Bammey, P. Bacon, E. Chassande-Mottin, A. Fraysse, S. Jaffard Sparse Time-Frequency Representation of Gravitational-Wave Signals in Unions of Wilson Bases
  European Signal Processing Conference (EUSIPCO), Rome, Italy, Sept. 2018

• R. Leonarduzzi, P. Abry, S. G. Roux, H. Wendt, S. Jaffard, S. Seuret Multifractal Characterization for Bivariate Data
  European Signal Processing Conference (EUSIPCO), Rome, Italy, Sept. 2018

• H. Wendt, R. Leonarduzzi, P. Abry, S. Roux, S. Jaffard, S. Seuret Assessing cross- dependencies using bivariate multifractal analysis
  IEEE Int. Conf. Acoust., Speech, and Signal Proces. (ICASSP), Calgary, Canada, April 2018.

• R. Leonarduzzi, H. Wendt, P. Abry, S. Jaffard and C. Melot Finite resolution effects in p-leader multifractal analysis
  I.E.E.E. Trans. Signal Process., vol. 65, no. 13, pp. 3359-3368, 2017

• S. Jaffard Yves Meyer, Prix Abel 2017
  Gazette des Mathématiciens, juillet 2017

• S. Jaffard Yves Meyer
  Encyclopedia Britannica, 2017

• S. Jaffard Benoit Mandelbrot, les objets fractals: Une nouvelle géométrie de la nature. Comprendre les mathématiques, Le Point Références, p. 76 février-mars 2017

• P. Abry, S. Jaffard, R. Leonarduzzi, C. Melot, H. Wendt New exponents for pointwise singularity classification
  Proc. Fractals and Related Fields III, 19-26 September 2015, Porquerolles, France, S. Seuret and J. Barral, Eds., 2017

• I. Scala, G. Rosi, V.H. Nguyen, S. Naili, R. Vayron, G. Haiat, S. Seuret et S. Jaffard Evaluation of dental implant stability using ultrasonic characterization and multifractal analysis
  Congres Francais de Mecanique, aout 2017

• R. Leonarduzzi, P. Abry, S. Jaffard, H. Wendt, L. Gournay, T. Kyriacopoulou, C. Martineau, C. Martinez p-Leader multifractal analysis for text type identification
  IEEE Int. Conf. Acoust., Speech, and Signal Proces. (ICASSP), New Orleans, USA, March 2017.

• S. Jaffard, Remise du prix Abel 2017 à Yves Meyer Images des Mathématiques, mai 2017

• S. Jaffard, Y. Meyer, R. Ryan, Wavelets: Tools for Science and Technology SIAM (2001)

• S. Jaffard, S. Seuret, Eds. B. Mandelbrot, père de la géométrie fractale SMF, 2013

• A. Aldroubi, C. Cabrelli, S. Jaffard, U. Molter Eds. New Trends in Applied Harmonic
  Analysis Applied and Numerical Harmonic Analysis, Springer, 2016

• A. Aldroubi, C. Cabrelli, S. Jaffard, U. Molter Eds. New Trends in Applied Harmonic, Vol. 2
  Analysis Applied and Numerical Harmonic Analysis, Springer, 2019

• P. Flandrin, S. Jaffard, T. Paul Eds. Theoretical Physics, Wavelets, Analysis, Genomics
  Applied and Numerical Harmonic Analysis, Springer, 2023

• S. Jaffard, P. Abry, S.G. Roux,Function spaces vs. scaling functions: tools for image classification,
  preprint (2010)
• S. Jaffard, An introduction to Davenport series,
  Spring School in Analysis in Paseky, J. Lukes, J. Vesely eds. Matfyzpress, Univerzity Karlovy V Praze pp. 41-95 (2010)
• S. Jaffard, Quelques interactions entre analyse, probabilités et fractals,
  à paraitre dans "Panoramas et Synthèses" (2010)
• A. Arneodo, S. Jaffard, L'analyse multifractale des signaux, "Images des Mathématiques 2004",
  CNRS pp. 7-14 (2004) [39]
• S. Jaffard, Multifractal functions: Recent advances and open problems,
  Bulletin de la Société Royale des Sciences de Liège, Vol. 73 pp. 129-153 (2004) [35]
• S. Jaffard, Méthodes d'ondelettes pour l'analyse multifractale de fonctions,
  "Lois d'échelles et Fractales" Vol. 1. Eds: P. Abry, P. Goncalves et J. Lévy-Véhel, pp. 71–105 (2002)
• S. Jaffard, Décompositions en ondelettes,
  "Developments of Mathematics 1950-2000" (J-P. Pier Ed.) Birkhauser, p. 609-634 (2000) [15]
• S. Jaffard, B. Mandelbrot, Peano-Polya motion, when time is intrinsic or binomial (uniform or multifractal),
  The Mathematical Intelligencer, Vol.19 N.4 pp.21–26 (1997) [33]
• J. Bertoin, S. Jaffard, Solutions multifractales de l'équation de Burgers,
  Matapli N.52 pp.19–28 (oct. 1997) BJ.pdf
• M.Farge, S. Jaffard, Les ondelettes, La science au présent, Encyclopedia Universalis pp. 189-190 (1992)
• S. Jaffard, Des ondelettes pour assagir la turbulence, L'état des sciences et des techniques, Editions La Découverte pp. 339-341 (1991)
• S. Jaffard, Y. Meyer, O. Rioul, L'analyse par ondelettes, Pour la Science Vol.119 (sept.1987)

General results in multifractal analysis

• S. Jaffard, P. Abry, S. G. Roux, B. Vedel, H. Wendt, The contribution of wavelets in multifractal analysis, “Wavelet methods in Mathematical Analysis and Engineering, Higher Education Press, “ Series in Contemporay Applied Mathematics” CAM 14, pp. 51–98 (2010) ProcZuhai.pdf
• S. Jaffard, Quelques interactions entre analyse, probabilités et fractals, à paraitre dans “Panoramas et Synthèses” (2010) Pano.pdf
• Y. Heurteaux, S. Jaffard, Multifractal analysis of images: New connexions between analysis and geometry, Proceedings of the NATO-ASI Conference on Imaging for Detection and Identification, Springer pp. 169–194 (2007) HJ.pdf
• S. Jaffard, B. Lashermes, P. Abry, Wavelet leaders in multifractal analysis, “Wavelet Analysis and Applications”, T. Qian et al. eds., pp. 201–246 “Applied and Numerical Harmonic Analysis”, Springer (2006) JLA.pdf [16]
• J.-M. Aubry, F. Bastin S. Dispa, S. Jaffard, The topology of the spaces Sν, Journal of Mathematical Analysis and Applications, Vol. 321, pp. 364–387 (2006)
• S. Jaffard, Beyond Besov Spaces part 2: Oscillation spaces, Constructive Approximation, Vol 21 n. 1 pp. 29–61 (2005) BB2.pdf
• S. G. Roux, B. Lashermes, P. Abry, S. Jaffard, Contributions à l'étude des performances statistiques des estimateurs multifractals, XX i‘eme colloque GRETSI, Louvaine la Neuve, 2005.
• S. Jaffard, Multifractal functions: Recent advances and open problems, Bulletin de la Société Royale des Sciences de Liège, Vol. 73 pp. 129–153 (2004) Open.pdf
• S. Jaffard, Wavelet techniques in multifractal analysis, Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot, M. Lapidus et M. van Frankenhuijsen Eds., Proceedings of Symposia in Pure Mathematics (AMS) Vol. 72 Part 2, pp. 91–151 (2004) JaLap.pdf [7]
• S. Jaffard, Beyond Besov Spaces Part 1: Distributions of wavelet coefficients, The Journal of Fourier Analysis and its Applications, Vol 10, n. 3 pp. 221–246 (2004) BB1.pdf
• S. Jaffard, Méthodes d'ondelettes pour l'analyse multifractale de fonctions, “Lois d'échelles et Fractales” Vol. 1. Eds: P. Abry, P. Goncalves et J. Lévy-Véhel, pp. 71–105 (2002) AGL.pdf
• S. Jaffard, Nouveaux espaces fonctionnels et application à l'étude des fonctions fractales et multifractales, Proceedings du colloque SMT 99 de la Société mathématique de Tunisie (2000)
• S. Jaffard, Oscillation Spaces: Properties and applications to fractal and multifractal functions, Journal of Mathematical Physics Vol. 39 N. 8 pp. 4129–4141 (1998)
• S. Jaffard, Multifractal formalism for functions, Part 1: Results valid for all functions, S.I.A.M. Journal of Mathematical Analysis Vol. 28 N. 4 pp. 944–970 (1997) SIAM1.pdf
• S. Jaffard, Some open problems about multifractal functions, Fractals in Ingineering, pp.2– 18 J. Lévy-Vehel, E. Lutton and C. Tricot Eds. Springer (1997)
• S. Jaffard, Trees in the Time-Scale Domain, Proceeding du colloque “Arbres”, Progress in Probability, Vol.40 pp.15–24 Birkhäuser (1996)
• S. Jaffard, Wavelet Analysis of Multifractal Functions, Wavelet Applications in Signal and Image Processing, SPIE Juillet 1995, San Diego pp. 284–293 (1995)
• S. Jaffard, Some Mathematical Results concerning the Multifractal Formalism for Functions, Wavelets Theory, Algorithms and Applications, C. Chui, L. Montefusco and L. Puccio Eds., Academic Press, pp. 325–362 (1994)
• S. Jaffard, Théorèmes de trace et dimensions négatives, C.R.A.S. Vol. 320 Série 1, pp. 409–413 (1995)
• S. Jaffard, Formalisme Multifractal pour les fonctions. C.R.A.S. Vol. 315 Série 1, pp. 441–466 (1993)
• S. Jaffard, Construction de fonctions multifractales ayant un spectre de singularités prescrit, C.R.A.S. Vol. 315 Série 1, pp. 19–24 (1992)
• S. Jaffard, Sur la dimension de Hausdorff des points singuliers d'une fonction, C.R.A.S. Vol. 314 Série 1, pp. 31–36 (1992)

Deterministic multifractal functions

• S. Jaffard, Pointwise and directional regularity of nonharmonic Fourier series, Appl. Comp. Harmonic Analysis Vol 28 N. 3 pp. 251-266 (2010) lacfourser.pdf [27]
• S. Jaffard, S. Nicolay, Pointwise smoothness of space-filling functions, Appl. Comp. Harmonic Analysis Vol 26 N. 2 pp. 181-199 (2010) JN1.pdf [29]
• S. Jaffard, S. Nicolay, Space-filling functions and Davenport series, “Surveys in Fractals and related fields”, Birkhauser J. Barral et S. Seuret eds. pp. 19–34 (2010) JN.pdf [30]
• S. Jaffard, C. Melot, Wavelet analysis of fractal Boundaries, Part 1: Local regularity, Communications in Mathematical Physics, Vol. 258 n. 3 pp. 513–539 (2005) JM1.pdf [8]
• S. Jaffard, C. Melot, Wavelet analysis of fractal Boundaries, Part 2: Multifractal formalism, Communications in Mathematical Physics, Vol. 258 n. 3 pp. 541–565 (2005) JM2.pdf
• S. Jaffard, On Davenport expansions, Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot, M. Lapidus et M. van Frankenhuijsen Eds., Proceedings of Symposia in Pure Mathematics (AMS) Vol. 72 Part 1, pp. 273–303 (2004) Davenport.pdf [22]
• S. Jaffard, Multifractal formalism for functions, Part 2: Selfsimilar functions, S.I.A.M. Journal of Mathematical Analysis Vol. 28 N. 4 pp. 971–998 (1997) SIAM2.pdf [21]
• S. Jaffard, Old friends revisited: The multifractal nature of some classical functions, Journal of Fourier Analysis and Applications. Vol. 3 N. 1 p.1–22 (1997) OldFriends.pdf [37][1]
• S. Jaffard, The spectrum of singularities of Riemann's function, Revista Mathematica Iberoamericana Vol. 12 N. 2 p. 441–460 (1996) Riemann1.pdf [1]
• S. Jaffard, B. Mandelbrot, Local regularity of nonsmooth wavelet expansions and application to Polya's function, Advances in Mathematics Vol. 120 N. 2 pp. 265–282 (1996) BM2.pdf
• S. Jaffard, B. Mandelbrot, Peano-Polya motion, when time is intrinsic or binomial (uniform or multifractal), The Mathematical Intelligencer, Vol.19 N.4 pp.21–26 (1997) BM1.pdf
• S. Jaffard, Sur les fonctions autosimilaires, The Journal of Fourier Analysis and its applications, Special Issue, Proceedings of the conference in honor of Jean-Pierre Kahane pp. 249–270 (1995)
• S. Jaffard, Local behavior of Riemann's function, Harmonic Analysis and Operator Theory, Contemporary Mathematics, Proceedings of the Cotlar Conference, Caracas (1994)

Random multifractal processes

• A. Durand, S. Jaffard: Multifractal analysis of Lévy fields, preprint (2010) DJ.pdf [31]
• B. Vedel, H. Wendt, P. Abry, S. Jaffard, On the impact of the number of vanishing moments on the dependence structures of compound Poisson motion and fractional Brownian motion in multifractal time, “Dependance with applications in Statistics and econometrics”, P. Doukhan, G. Lang, D. Surgailis, G. Teyssière Eds. Lecture Notes in Statistics pp. 71–102, (2010) VHAJ.pdf
• J. Barral, N. Fournier, S. Jaffard, S. Seuret, A Markov process with a random singularity spectrum, Annals of Probability Vol. 38 N. 5. pp. 1924-1946 (2010) BFJS.pdf [26]
• A. Ayache S. Jaffard, M. Taqqu, Multifractional processes with a most general multifractal spectrum, Revista Matematica Iberoamericana, Vol. 23 pp. 327–370 (2007) AJT.pdf
• J-M. Aubry, S. Jaffard, Random wavelet series, Communications in Mathematical Physics, Vol. 227, pp. 483–514 (2002) RWS.pdf [23]
• S. Jaffard, Lacunary wavelet series, Annals of Applied Probability. Vol. 10, No. 1, pp. 313–329 (2000) LWS.pdf [24]
• S. Jaffard, The multifractal nature of Lévy processes, Probability Theory and Related Fields, Vol. 114 N.2 pp.207–227 (1999) levybis.pdf [2]
• S. Jaffard, Sur la nature multifractale des processus de Lévy, C.R.A.S. Vol. 323 Série 1, pp. 1059–1064 (1996)
• S. Jaffard, Regularity analysis of functions and random processes using wavelets, Proceedings of the NATO-ASI Conference held at Il Ciocco (1992

Generic results of multifractality (for Baire categories and prevalence)

• J.-M. Aubry, F. Bastin S. Dispa, S. Jaffard, The spaces Sν: New spaces defined with wavelet coefficients and related to multifractal analysis, International Journal of applied analysis & statistics, Vol. 7 (2007)
• A. Fraysse, S. Jaffard, How smooth is almost every function in a Sobolev space? Revista Matematica Iberoamericana Vol. 22, N. 2 pp. 663–682 (2006) FJ1.pdf [3]
• A. Fraysse, S. Jaffard, The Sobolev embeddings are usually sharp, Abstract and Applied Analysis Vol. 2005 n. 4 pp. 437–448 (2005) FJ2.pdf [25]
• A. Fraysse S. Jaffard, J.-P. Kahane, Some generic properties in analysis, C.R.A.S. Vol. 340 Série 1, pp. 645–651 (2005) FJK.pdf
• S. Jaffard, Y. Meyer, On the pointwise regularity of functions in critical Besov Spaces, Journal of Functional analysis Vol. 175 pp. 415–434 (2000) JMey.pdf
• S. Jaffard, On the Frisch-Parisi conjecture, Journal de Mathématiques Pures et Appliquées, Vol. 79 n. 6 pp. 525–552 (2000) FP.pdf [4]
• S. Jaffard, Conjecture de Frisch et Parisi et généricité des fonctions multifractales, C.R.A.S. Vol. 330 Série 1, pp. 265–270 (2000) FP2.pdf

Oscillating singularities and chirps

• P. Abry, S. G. Roux, S. Jaffard, Detecting oscillating singularities in multifractal analysis: application to hydrodynamic turbulence, preprint (2010) ARJ2 [32]
• S. Jaffard, P. Abry, S. Roux, Singularités oscillantes et coefficients d'ondelette dominants, 22nd GRETSI Symposium on Signal and Image Processing, Dijon, France, (sept 2009) [14]
• S. Jaffard, Lacunary wavelet series, Annals of Applied Probability. Vol. 10, No. 1, pp. 313–329 (2000)
• S. Jaffard, Construction of functions with prescribed Hölder and Chirps exponents, Revista Matematica Iberoamericana Vol. 16 n. 2 pp. 331–349 (2000)
• A. Arneodo, E. Bacry S. Jaffard, J-F. Muzy, Oscillating singularities and multifractal functions, C.R.M. Proceedings and Lecture Notes Vol. 18 pp. 315–329 (1999)
• S. Jaffard, Oscillation Spaces: Properties and applications to fractal and multifractal functions, Journal of Mathematical Physics Vol. 39 N. 8 pp. 4129–4141 (1998)
• A. Arneodo, E. Bacry, J.-F. Muzy, S. Jaffard, Singularity spectrum of multifractal functions involving oscillating singularities, Journal of Fourier Analysis and Applications, Vol. 4, N. 2 p. 159–174 (1998) ABJM1.pdf [12]
• B. Guiheneuf S. Jaffard, J. Lévy-Véhel, Two results concerning Chirps and 2-microlocal exponents prescription, Applied and Computational Harmonic Analysis, Vol. 5 N. 4 pp. 487–492 (1998)
• A. Arneodo, E. Bacry et J.-F. Muzy, S. Jaffard, Oscillating singularities on Cantor sets: A grand canonical multifractal formalism, Journal of Statistical Physics Vol. 87 pp. 179–209 (1997)
• S. Jaffard, Y. Meyer, Wavelet Methods for Pointwise Regularity and Local Oscillations of Functions, Memoirs of the A.M.S. Vol. 123 N. 587 (1996) [11]

Applications of multifractal analysis in physics

• P. Abry, S. G. Roux, S. Jaffard, Detecting oscillating singularities in multifractal analysis: application to hydrodynamic turbulence, preprint (2010) ARJ2
• B. Lashermes, S. G. Roux P. Abry, S. Jaffard, Comprehensive multifractal analysis of turbulent velocity using wavelet leaders Eur. Phys. J. B. Vol. 61 (2) pp. 201–215 (2008) lraj.pdf [19]
• H. Wendt P. Abry, S. Jaffard, Bootstrap for empirical multifractal analysis with application to hydrodynamic turbulence, Special Issue of the IEEE Signal Processing Magazine, Vol. 24 no. 4 pp. 3–48 (July 2007) WAJ.pdf [18]
• S. Mimouni, G.Laval, B.Scheurer, S. Jaffard, Morphology of the mixing layer in the Raleigh-Taylor instability, Small scale structures in three-dimensional hydrodynamics and magnetohydrodynamic turbulence, M. Meneguzzi et al. Eds., Springer, Lect. Notes in Phys. Vol. 462 pp. 179–192 (1995)

Applications of multifractal analysis in signal and image processing

• P. Abry, H. Wendt, S. Jaffard, H. Helgason, P Goncalvès, E. Pereira, Cl. Gharib, P. Gaucherand, M. Doret, Methodology for multifractal analysis of heart rate variability: From LF/HF ratio to wavelet leaders, Nonlinear Dynamic Analysis of Biomedical Signals EMBC conference (IEEE Engineering in Medicine and Biology Conferences ) Buenos Aires, (2010) AWJHGPGGD.pdf
• H. Wendt, P. Abry, S. G. Roux, S. Jaffard et B. Vedel, Analyse multifractale d'image: l'apport des coefficients dominants, Traitement du Signal: Vol 25 N. 4-5 (2009) WARJVTS.pdf [36]
• H. Wendt, S. G. Roux S. Jaffard, P. Abry, Wavelet Leaders and Bootstrap for Multifractal Analysis of Images, Signal Processing. Vol 89 n. 6 pp. 1100–1114 (Juin 2009) WRJA.pdf [38]
• H. Wendt, P. Abry, S. Jaffard, H. Ji, Z. Shen, Wavelet leader multifractal analysis for texture classification, Proc IEEE conf. ICIP 2009 pp. 3829-3832 (2009) WAJJS.pdf [20]
• P. Abry, S. Jaffard, S. G. Roux, B. Vedel, H. Wendt, Wavelet decomposition of measures: Application to multifractal analysis of images, Proc. NATO-ASI Conf. on Unexploded Ordnance Detection and Mitigation, pp. 1–20 (2008) AJRVW1.pdf
• H. Wendt, S. G. Roux, S. Jaffard, P. Abry, Bootstrapped wavelet leaders for multifractal analysis of images, IEEE Transactions on image processing (2007) WRJA2.pdf
• H. Wendt, P. Abry, S. G. Roux S. Jaffard, Analyse multifractale d'image : l'apport des coefficients dominants, 21st GRETSI Symposium on Signal and Image Processing, Troyes, France (2007) WARJ-gretsi07.pdf
• Y. Heurteaux, S. Jaffard, Multifractal analysis of images: New connexions between analysis and geometry, Proceedings of the NATO-ASI Conference on Imaging for Detection and Identification, Springer pp. 169–194 (2007) HJ.pdf
• P. Abry, B. Lashermes, S. Jaffard, Wavelet leader based multifractal analysis, Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing Philadelphia, USA, (2005)
• P. Abry, B. Lashermes, S. Jaffard, Revisiting scaling, multifractal and multiplicative cascades with the wavelet leader lens, SPIE Optic East, Wavelet applications in Industrial applications II Vol. 5607 pp. 103–117 Philadelphia, USA (2004) AJL1.pdf

• A. Ayache, S. Jaffard, Hölder exponents of arbitrary functions, Revista Matematica Iberoamericana, Vol 26 N. 1 pp. 77-89 (2010) AyJ.pdf
• S. Jaffard, Pointwise and directional regularity of nonharmonic Fourier series, Appl. Comp. Harmonic Analysis Vol 28 N. 3 pp. 251-266 (2010) lacfourser.pdf
• S. Jaffard, Gabor-wavelet transform and Hölder irregularity, proceedings of the HAAT conference, Tokyo (2007) Haat.pdf [28]
• S. Jaffard, Wavelet Techniques for pointwise regularity, Annales de la Faculté des Sciences de Toulouse, Vol. 15 n. 1 pp. 3–33 (2006) Toul.pdf [10]
• S. Jaffard, Pointwise regularity associated with function spaces and multifractal analysis, Banach Center Pub. Vol. 72 Approximation and Probability, T. Figiel and A. Kamont Eds. pp. 93–110 (2006) Ciesel.pdf [9]
• S. Jaffard, Pointwise regularity criteria, C.R.A.S. Vol. 339 Série 1, pp. 757–762 (2004) PointCRAS.pdf
• S. Jaffard, Construction of functions with prescribed Hölder and Chirps exponents, Revista Matematica Iberoamericana Vol. 16 n. 2 pp. 331–349 (2000)
• S. Jaffard, Y. Meyer, On the pointwise regularity of functions in critical Besov Spaces Journal of Functional analysis ,Vol. 175 pp. 415–434 (2000)
• B. Guiheneuf S. Jaffard, J. Lévy-Véhel, Two results concerning Chirps and 2-microlocal exponents prescription, Applied and Computational Harmonic Analysis, Vol. 5 N. 4 pp. 487–492 (1998) GJLV.pdf [13]
• S. Jaffard, Functions with prescribed Hölder exponent, Applied and Computational Harmonic Analysis, Vol. 2, pp. 400–401 (1995) PrescHol.pdf
• S. Jaffard, Pointwise regularity of functions and wavelet coefficients, Wavelets and Applications, Y. Meyer Ed. Masson, RMA n. 20 (1992)
• S. Jaffard, Pointwise smoothness, two-microlocalisation and wavelet coefficients, Publications Matemàtiques, Vol. 35 S. Jaffard Pointwise smoothness, two-microlocalization and wavelet coefficients pp. 155 –168 (1991) [5]
• S. Jaffard, Orthonormal and continuous wavelet Transform: Algorithms and applications to the study of pointwise properties of functions, Proceedings du congrès Wavelets, Fractals and Fourier transforms, Cambridge (1990)
• S. Jaffard, Exposants de Hölder en des points donnés et coefficients d'ondelettes, C.R.A.S. Vol. 308 Série 1, pp. 79–81 (1989) [6]

• S. Jaffard, Pointwise and directional regularity of nonharmonic Fourier series, Appl. Comp. Harmonic Analysis Vol 28 N. 3 pp. 251-266 (2010) lacfourser.pdf S. Jaffard, Gabor-wavelet transform and Hölder irregularity, proceedings of the HAAT conference, Tokyo (2007) Haat.pdf S. Jaffard, Beyond Besov Spaces Part 2: Oscillation spaces, Constructive Approximation, Vol 21 n. 1 pp. 29–61 (2005) BB2.pdf S. Jaffard, Function spaces based on wavelet expansions, Sampling, Wavelets and Tomography, J. Benedetto and A. Zayed eds., Birkhäuser pp. 157–177 (2004) FS.pdf S. Jaffard, Beyond Besov Spaces Part 1: Distributions of wavelet coefficients, The Journal of Fourier Analysis and its Applications, Vol 10, n. 3 pp. 221–246 (2004) BB1.pdf S. Jaffard, Décompositions en ondelettes, “Developments of Mathematics 1950-2000” (J-P. Pier Ed.) Birkhäuser, p. 609-634 (2000) DM.pdf S. Jaffard, Analysis of the lack of compactness in the critical Sobolev imbeddings, Journal of Functional Analysis, Vol. 161, pp. 384–396 (1999) DefComp.pdf S. Jaffard, R. Young, A representation theorem for Schauder bases in Hilbert space, Proceedings of the AMS, Vol. 126 N. 2 pp. 553–560 (1998) JY.pdf S. Jaffard, Oscillation Spaces: Properties and applications to fractal and multifractal functions, Journal of Mathematical Physics Vol. 39 N. 8 pp. 4129–4141 (1998) S. Jaffard, Sur la dimension de boîte des graphes, C.R.A.S. Vol. 326 Série 1, pp. 555–560 (1998) CrasDim.pdf S. Jaffard, Wavelets and nonlinear analysis, Wavelets: Mathematics and applications J. Benedetto and M. Frazier Eds., Studies in Advanced Mathematics, CRC (1994) I. Daubechies S. Jaffard, J-.L.Journé, A simple Wilson basis with exponential decay, or how to beat the Balian-Low Theorem, “Wavelets and Applications”, Y. Meyer Ed. Mas- son, RMA n. 20 (1992) S. Jaffard, A density criterion for frames of complex exponentials, Michigan Mathematical Journal, Vol. 38 pp. 339–348 (1991) Frames.pdf I. Daubechies, S. Jaffard, J.-L. Journé, A simple Wilson orthonormal basis with exponential decay, S.I.A.M. Journal of Mathematical Analysis Vol. 22, pp. 554–572 (1991) DJJ.pdf S. Jaffard, Ph. Laurençot, Orthonormal wavelets, analysis of operators and applications to numerical analysis, Wavelets: A tutorial, C.Chui Ed. Academic Press (1991). S. Jaffard, Wavelets and applications, Proceedings of the fifth European Conference on mathematics in Industry Teubner Stuttgart and Kluwer Academic publishers (1991) S. Jaffard, Propriétés des matrices “bien localisées” près de leur diagonale et quelques applications, Annales de l'Institut Henri Poincaré, Analyse non linéaire, Vol. 7 pp. 461–476 (1990) Matrices.pdf S. Jaffard, Y. Meyer, Bases d'ondelettes dans des ouverts de Rn , Journal de Mathématiques pures et appliquées Vol. 68, pp. 95–108 (1989) S. Jaffard, Algorithmes de transformation en ondelettes, Annales des Ponts et Chaussées, 3etrim. (1989) S. Jaffard, Y. Meyer, Les ondelettes, Harmonic analysis and Partial Differential Equa- tions, Proceedings, El Escorial 1987, Lecture notes in mathematics, Vol. 1384, pp. 182–192, Springer-Verlag (1989)

• S. Jaffard, M. Okada, T. Ueno, Approximate sampling theorem and the order of smoothness of the Besov space, RIMS Kôkyûroko Bessatsu B18 pp. 45-56 (2010) JOU.pdf
• S. Jaffard, S. Micu, Estimates of the constants in generalized Ingham's inequality and applications to the control of the wave equation, Asymptotic Analysis Vol. 28, No.3-4, pp. 181–214 (2001) JTZ2.pdf
• S. Jaffard, M. Tucsnak et E. Zuazua, Singular internal stabilization of the wave equation, Journal of Differential Equations Vol.145 N. 1 pp. 184–215 (1998) JTZ1.pdf
• S. Jaffard, M. Tucsnak, Regularity of plate equations with control concentrated in interior curves, Proceedings of the Royal Society of Edinburgh, Sect. A Vol.127, n.5 pp. 1005–1025 (1997)
• S. Jaffard, M. Tucsnak et E. Zuazua, On a Theorem of Ingham, Journal of Fourier Analysis and Applications Vol. 3 N. 5 pp. 577–582 (1997)
• A. Haraux, S. Jaffard, Pointwise and spectral control of some plate models, Revista Matematica Iberoamericana Vol. 7 pp. 1–24 (1991).
• S. Jaffard, A density criterion for frames of complex exponentials, Michigan Mathematical Journal, Vol. 38 pp. 339–348 (1991) Frames.pdf
• S. Jaffard, Contrôle interne exact des vibrations d'une plaque rectangulaire, Portugaliae Mathematicae Vol. 47 p. 423-429 (1990).
• S. Jaffard, Contrôle interne exact des vibrations d'une plaque carré, C.R.A.S. Vol. 307 Série 1, pp. 759–762 (1988)
• A. Almansa S. Jaffard, B. Rougé, Perturbed sampling in satellite images and reconstruction algorithms, Proceedings du congrès GRETSI 20001, Signal and Image processing (2001)

• A. Benassi, S. Cohen, J. Istas, S. Jaffard, Identification of filtered white noises, Stochastic Processes and their Applications, Vol. 75 pp. 31–49 (1998) BCIJ.pdf
• A. Benassi, S. Jaffard, D. Roux, Elliptic Gaussian Random Processes, Revista Matematica Iberoamericana Vol. 13 N. 1 pp. 19–90 (1997)
• A.Benassi, S. Cohen S. Jaffard, J. Istas, Identification of filtered white noises and of elliptic Gaussian random processes, Fractals in Ingineering, J. Lévy-Vehel, E. Lutton and C. Tricot Eds., Springer pp.115–123 (1997)
• A.Benassi S. Jaffard, D. Roux, Gaussian Elliptic Processes, Israel Mathematical Conference Proceedings, Vol.10 pp. 35–48 (1996)
• A. Benassi, S. Jaffard, Wavelet decomposition of one and several dimensional Gaussian processes, Recent advances in wavelet analysis. L. Schumaker and G. Webb ed. Academic Press (1994)
• A. Benassi S. Jaffard, S. Cohen, Identification de processus gaussiens elliptiques, C.R.A.S. Vol. 319 Série 1, pp. 877–880 (1994)
• A. Benassi, S. Jaffard, D. Roux, Analyse multi-échelle des Processus gaussiens markoviens d'ordre p indexés par (0, 1), Stochastic Processes and their Applications. Vol. 47 pp. 275–297 (1993)
• A.Benassi, S. Jaffard, D.Roux, Module de continuité des champs aléatoires gaussiens étudiés au moyen d'ondelettes appropriées, C.R.A.S. Vol. 317 Série 1, pp. 745–750 (1992)
• A. Benassi S. Jaffard, D. Roux, Analyse multiéchelle des champs gaussiens markoviens d'ordre p indexés par [0, 1], C.R.A.S. Vol. 313 Série 1, pp. 403–406 (1991) BJR1.pdf

• P. Degond, S. Jaffard, F. Poupaud, P.-A. Raviart, The Child-Langmuir Asymptotics of the Vlasov-Poisson Equation for cylindrically or spherically symmetric diodes, Part 1: Statement of the problem and basic estimates, Mathematical Methods in the Applied Sciences Vol. 19 p. 287–312 (1996) DJPR1.pdf
• P. Degond, S. Jaffard, F. Poupaud, P.-A. Raviart, The Child-Langmuir Asymptotics of the Vlasov-Poisson Equation for cylindrically or spherically symmetric diodes, Part 2: Analysis of the reduced problem and determination of the Child-Langmuir current, Mathematical Methods in the Applied Sciences Vol. 19 p. 313–340 (1996) DJPR1.pdf
• S. Jaffard, Wavelets and nonlinear analysis, Wavelets: Mathematics and applications J. Benedetto and M. Frazier Eds., Studies in Advanced Mathematics, CRC (1994)
• S. Jaffard, Analyse par ondelettes d'un problème elliptique singulier, Journal de Mathématiques pures et appliquées, Vol. 72 pp. 121–143 (1993)
• S. Jaffard, Wavelet methods for fast resolution of elliptic problems, S.I.A.M. Journal of Numerical Analysis Vol. 29 N. 4, pp. 965–986 (1992) FastEll.pdf
• S. Jaffard, Wavelets and Analysis of Partial Differential Equations, Nonlinear PDEs and their applications, Coll`ege de France Seminar Vol. 11, Pitman Research Notes in Mathe- matics Series, Vol. 299, H Brezis , J.-L. Lions Ed, pp. 118–130 (1994)
• S. Jaffard, Ph.Laurençot, Orthonormal wavelets, analysis of operators and applications to numerical analysis, Wavelets: A tutorial, C.Chui Ed. Academic Press (1991).

• S. Jaffard, M. Leduc, Les clasess prépas détournent-elles les meilleurs étudiants de leur vocation? VRS N. 381 avril/mai/juin 2010 JaLed1.PDF
• S. Jaffard, M. Leduc, La bonne méthode d'évaluation des chercheurs, Les Echos, 23 Juillet 2009 Evaluation.pdf
• S. Jaffard, M. Leduc et J.-C. Bernier, CNRS : démantèlement ou modernisation ? Le Monde, 11 Juin 2008 CNRS.pdf
• M. Leduc S. Jaffard, J.-C. Bernier, Reform, yes...but not like this, Research Europe, 13 mars 2008 RE.pdf
• S. Jaffard, M. Leduc et J.-C. Bernier, Les bonnes intentions du rapport Attali en matière de recherche, Le Figaro, 11 février 2008 Attali.pdf
• S. Jaffard, M. Leduc et A. Lattes, La loi sur l'Université: menace ou chance? Le Monde, 20 novembre 2007 LRU.pdf

• Les Sociétés Savantes face aux réformes, 25 janvier 2009
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• Un mikado subtil, 13 mars 2009
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• Maths venir : les discours douverture 14 décembre 2009
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• Pourquoi un nouveau colloque Maths à Venir ? Le 23 juillet 2009
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