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Author ID: jaffard.stephane Recent zbMATH articles by "Jaffard, Stéphane"
Published as: Jaffard, Stéphane; Jaffard, S.; Jaffard, Stephane
Homepage: https://perso.math.u-pem.fr/jaffard.stephane/
External Links: MGP · Wikidata · Google Scholar · ResearchGate · GND · IdRef · theses.fr
all top 5

Co-Authors

53 single-authored
17 Abry, Patrice
13 Wendt, Herwig
9 Roux, Stéphane G.
8 Benassi, Albert
8 Leonarduzzi, Roberto
7 Mélot, Clothilde
6 Meyer, Yves F.
5 Roux, Daniel
5 Vedel, Béatrice
4 Seuret, Stéphane
3 Arneodo, Alain
3 Aubry, Jean-Marie
3 Bacry, Emmanuel
3 Barral, Julien
3 Durand, Arnaud
3 Esser, Céline
3 Fraysse, Aurélia
3 Muzy, Jean-François
3 Torrésani, Bruno S.
3 Tucsnak, Marius
2 Aldroubi, Akram
2 Ayache, Antoine
2 Bastin, Françoise
2 Billat, Véronique L.
2 Cabrelli, Carlos A.
2 Clausel, Marianne
2 Cohen, Serge
2 Daubechies, Ingrid Chantal
2 Degond, Pierre
2 Journé, Jean-Lin
2 Li, Jianping
2 Mandelbrot, Benoit B.
2 Molter, Ursula Maria
2 Nasr, Wejdene Ben
2 Nicolay, Samuel
2 Okada, Masami
2 Palacin, Florent
2 Poupaud, Frédéric
2 Raviart, Pierre-Arnaud
2 Saës, Guillaume
2 Torres, María E.
2 Ueno, Toshihide
2 Yen, John
2 Zuazua, Enrique
1 Barnsley, Michael Fielding
1 Berestycki, Julien
1 Bertoin, Jean
1 Chassande-Mottin, Eric
1 Cohen, Albert
1 Cohen, Nathan
1 Coifman, Ronald Raphaël
1 Coppens, Marc-Olivier
1 Damlamian, Alain
1 Daugman, John G.
1 Didier, Gustavo
1 Dispa, Sophie
1 Dora, Matteo
1 Falconer, Kenneth J.
1 Fan, Ai Hua
1 Flandrin, Patrick
1 Fournier, Nicolas
1 Frame, Michael Lee
1 Furstenberg, Hillel
1 Guiheneuf, Bertrand
1 Haas, Bénédicte
1 Haraux, Alain
1 Holcman, David
1 Howe, Roger Evans
1 Istas, Jacques
1 Kahane, Jean-Pierre
1 Krim, Hamid
1 Lashermes, Bruno
1 Laurençot, Philippe
1 Lévy Véhel, Jacques
1 Mallat, Stephane Georges
1 Martin, Bruno
1 Micu, Sorin
1 Miermont, Grégory
1 Mimouni, Stéphane
1 Mumford, David Bryant
1 Olevskii, Alexander Moiseevich
1 Pal, Sankar Kr.
1 Paul, Thierry
1 Peyrière, Jacques
1 Pipiras, Vladas
1 Planchon, Fabrice
1 Ryan, Robert D.
1 Scheurer, Bruno
1 Stewart, Ian Nicholas
1 Suen, Ching-Yun
1 Taqqu, Murad S.
1 Touchette, Hugo
1 West, Bruce J.
1 Wickerhauser, Mladen Victor
1 Yang, Simon X.
1 Young, Robert M.
1 Zhong, Ning
all top 5

Serials

10 Comptes Rendus de l’Académie des Sciences. Série I
9 Revista Matemática Iberoamericana
6 Applied and Computational Harmonic Analysis
5 The Journal of Fourier Analysis and Applications
4 Gazette des Mathématiciens
4 SIAM Journal on Mathematical Analysis
3 Communications in Mathematical Physics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Applied and Numerical Harmonic Analysis
2 Mathematical Methods in the Applied Sciences
2 Physica A
2 Advances in Mathematics
2 Journal of Functional Analysis
2 Probability Theory and Related Fields
2 IEEE Transactions on Signal Processing
2 Stochastic Processes and their Applications
2 Notices of the American Mathematical Society
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 The Mathematical Intelligencer
1 The Annals of Probability
1 Bulletin de la Société Royale des Sciences de Liège
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Portugaliae Mathematica
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Numerical Analysis
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Traitement du Signal
1 Constructive Approximation
1 Asymptotic Analysis
1 Publicacions Matemàtiques
1 Signal Processing
1 The Annals of Applied Probability
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Abstract and Applied Analysis
1 IEEE Transactions on Image Processing
1 Panoramas et Synthèses
1 Series in Contemporary Applied Mathematics CAM
1 RIMS Kôkyûroku Bessatsu
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Publications by Year

Citations contained in zbMATH Open

112 Publications have been cited 1,964 times in 1,080 Documents Cited by Year
Elliptic Gaussian random processes. Zbl 0880.60053
Benassi, Albert; Jaffard, Stéphane; Roux, Daniel
163
1997
Wavelet methods for pointwise regularity and local oscillations of functions. Zbl 0873.42019
Jaffard, Stéphane; Meyer, Yves
108
1996
Propriétés des matrices “bien localisées” près de leur diagonale et quelques applications. (Properties of matrices “well localized” near the diagonal and some applications). Zbl 0722.15004
Jaffard, S.
101
1990
Multifractal formalism for functions. I: Results valid for all functions. Zbl 0876.42021
Jaffard, S.
80
1997
The multifractal nature of Lévy processes. Zbl 0947.60039
Jaffard, Stéphane
80
1999
Pointwise smoothness, two-microlocalization and wavelet coefficients. Zbl 0760.42016
Jaffard, S.
74
1991
Contrôle interne exact des vibrations d’une plaque rectangulaire. (Internal exact control for the vibrations of a rectangular plate). Zbl 0718.49026
Jaffard, S.
66
1990
Wavelet techniques in multifractal analysis. Zbl 1093.28005
Jaffard, Stéphane
62
2004
The spectrum of singularities of Riemann’s function. Zbl 0889.26005
Jaffard, Stéphane
60
1996
On the Frisch-Parisi conjecture. Zbl 0963.28009
Jaffard, Stéphane
53
2000
Wavelet methods for fast resolution of elliptic problems. Zbl 0761.65083
Jaffard, Stephane
53
1992
A simple Wilson orthonormal basis with exponential decay. Zbl 0754.46016
Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin
46
1991
On lacunary wavelet series. Zbl 1063.60053
Jaffard, Stéphane
43
2000
Wavelets. Tools for science and technology. Zbl 0970.42020
Jaffard, Stéphane; Meyer, Yves; Ryan, Robert D.
39
2001
A density criterion for frames of complex exponentials. Zbl 0764.42005
Jaffard, S.
35
1991
Multifractal formalism for functions. II: Self-similar functions. Zbl 0876.42022
Jaffard, S.
35
1997
Analysis of the lack of compactness in the critical Sobolev embeddings. Zbl 0922.46030
Jaffard, Stéphane
35
1999
Random wavelet series. Zbl 1011.42025
Aubry, Jean-Marie; Jaffard, Stéphane
31
2002
Wavelet leaders in multifractal analysis. Zbl 1114.65164
Jaffard, Stéphane; Lashermes, Bruno; Abry, Patrice
30
2007
Identification of filtered white noises. Zbl 0932.60037
Benassi, Albert; Cohen, Serge; Istas, Jacques; Jaffard, Stéphane
29
1998
Old friends revisited: The multifractal nature of some classical functions. Zbl 0880.28007
Jaffard, Stéphane
26
1997
Singular internal stabilization of the wave equation. Zbl 0920.35029
Jaffard, Stéphane; Tucsnak, Marius; Zuazua, Enrique
26
1998
Hölder exponents at given points and wavelet coefficients. (Exposants de Hölder en des points donnés et coefficients d’ondelettes.) Zbl 0665.42012
Jaffard, Stéphane
26
1989
How smooth is almost every function in a Sobolev space? Zbl 1155.28302
Fraysse, Aurélia; Jaffard, Stéphane
24
2006
Wavelet leaders and bootstrap for multifractal analysis of images. Zbl 1161.94315
Wendt, Herwig; Roux, Stéphane G.; Jaffard, Stéphane; Abry, Patrice
23
2009
Singularity spectrum of multifractal functions involving oscillating singularities. Zbl 0914.28005
Arneodo, A.; Bacry, E.; Jaffard, S.; Muzy, J. F.
22
1998
Wavelet construction of generalized multifractional processes. Zbl 1123.60022
Ayache, Antoine; Jaffard, Stéphane; Taqqu, Murad S.
21
2007
Beyond Besov spaces. II: Oscillation spaces. Zbl 1076.42024
Jaffard, Stéphane
20
2005
Oscillation spaces: Properties and applications to fractal and multifractral functions. Zbl 0930.42021
Jaffard, Stéphane
20
1998
Wavelet analysis of fractal boundaries. I: Local exponents. Zbl 1080.28005
Jaffard, Stéphane; Mélot, Clothilde
19
2005
Beyond Besov spaces. I: Distributions of wavelet coefficients. Zbl 1075.42014
Jaffard, Stéphane
17
2004
Wavelet techniques for pointwise regularity. Zbl 1166.42019
Jaffard, Stéphane
16
2006
Estimates of the constants in generalized Ingham’s inequality and applications to the control of the wave equation. Zbl 1003.93028
Jaffard, Stéphane; Micu, Sorin
16
2001
Orthonormal wavelets, analysis of operators, and applications to numerical analysis. Zbl 0764.65066
Jaffard, S.; Laurençot, Ph.
16
1992
Local regularity of nonsmooth wavelet expansions and application to the Polya function. Zbl 0916.42024
Jaffard, Stéphane; Mandelbrot, Benoît B.
16
1996
Irregularities and scaling in signal and image processing: multifractal analysis. Zbl 1403.94014
Abry, Patrice; Jaffard, Stéphane; Wendt, Herwig
16
2015
Bases d’ondelettes dans des ouverts de \({\mathbb{R}}^ n\). (Wavelet bases in open sets of \({\mathbb{R}}^ n)\). Zbl 0704.46009
Jaffard, Stéphane; Meyer, Yves
16
1989
A pure jump Markov process with a random singularity spectrum. Zbl 1205.60148
Barral, Julien; Fournier, Nicolas; Jaffard, Stéphane; Seuret, Stéphane
16
2010
On a theorem of Ingham. Zbl 0939.42004
Jaffard, Stéphane; Tucsnak, Marius; Zuazua, Enrique
15
1997
Multifractal analysis of Lévy fields. Zbl 1247.60066
Durand, Arnaud; Jaffard, Stéphane
15
2012
Wavelet analysis of fractal boundaries. II: Multifractal analysis. Zbl 1081.28007
Jaffard, Stéphane; Mélot, Clothilde
14
2005
On the pointwise regularity of functions in critical Besov spaces. Zbl 0968.46023
Jaffard, Stéphane; Meyer, Yves
13
2000
Multifractal analysis of the Brjuno function. Zbl 1435.11014
Jaffard, Stéphane; Martin, Bruno
12
2018
Self-similar anisotropic texture analysis: the hyperbolic wavelet transform contribution. Zbl 1373.94354
Roux, Stéphane G.; Clausel, Marianne; Vedel, Béatrice; Jaffard, Stéphane; Abry, P.
12
2013
The contribution of wavelets in multifractal analysis. Zbl 1218.28004
Jaffard, Stéphane; Abry, Patrice; Roux, Stéphane G.; Vedel, Béatrice; Wendt, Herwig
11
2010
Pointwise regularity criteria. Zbl 1074.42006
Jaffard, Stéphane
10
2004
On Davenport expansions. Zbl 1123.28002
Jaffard, Stéphane
10
2004
Oscillating singularities on Cantor sets: A grand-canonical multifractal formalism. Zbl 0917.28007
Arneodo, A.; Bacry, E.; Jaffard, S.; Muzy, J. F.
10
1997
\(p\)-exponent and \(p\)-leaders. I: Negative pointwise regularity. Zbl 1400.42043
Jaffard, S.; Melot, C.; Leonarduzzi, R.; Wendt, H.; Abry, P.; Roux, S. G.; Torres, M. E.
10
2016
Topological properties of the sequence spaces \(S^{\nu }\). Zbl 1103.46002
Aubry, Jean-Marie; Bastin, Françoise; Dispa, Sophie; Jaffard, Stéphane
10
2006
Pointwise smoothness of space-filling functions. Zbl 1173.26002
Jaffard, S.; Nicolay, S.
10
2009
Pointwise and spectral control of plate vibrations. Zbl 0778.73045
Haraux, Alain; Jaffard, Stéphane
9
1991
Functions with prescribed Hölder exponent. Zbl 0835.42021
Jaffard, Stéphane
9
1995
Pointwise and directional regularity of nonharmonic Fourier series. Zbl 1193.42126
Jaffard, S.
9
2010
Construction of multifractal functions with a prescribed spectrum of singularities. (Construction de fonctions multifractales ayant un spectre de singularités prescrit.) Zbl 0780.28005
Jaffard, Stéphane
8
1992
Function spaces vs. scaling functions: tools for image classification. Zbl 1218.94011
Jaffard, Stéphane; Abry, Patrice; Roux, Stéphane
8
2011
Some generic properties in analysis,. (Quelques propriétés génériques en analyse.) Zbl 1090.28008
Fraysse, Aurélia; Jaffard, Stéphane; Kahane, Jean-Pierre
8
2005
Multifractal analysis based on \(p\)-exponents and lacunarity exponents. Zbl 1337.28008
Abry, Patrice; Jaffard, Stéphane; Leonarduzzi, Roberto; Melot, Clothilde; Wendt, Herwig
8
2015
The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes. I: Statement of the problem and basic estimates. Zbl 0844.35086
Degond, P.; Jaffard, S.; Poupaud, F.; Raviart, P. A.
7
1996
\(p\)-exponent and \(p\)-leaders. II: Multifractal analysis. relations to detrended fluctuation analysis. Zbl 1400.42044
Leonarduzzi, R.; Wendt, H.; Abry, P.; Jaffard, S.; Melot, C.; Roux, S. G.; Torres, M. E.
7
2016
The hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic fields. Zbl 1336.46028
Abry, Patrice; Clausel, Marianne; Jaffard, Stéphane; Roux, Stéphane G.; Vedel, Béatrice
7
2015
Pointwise regularity associated with function spaces and multifractal analysis. Zbl 1119.26007
Jaffard, Stéphane
7
2006
Contrôle interne exact des vibrations d’une plaque carrée. (Exact internal control for vibrating square plate). Zbl 0659.73050
Jaffard, Stéphane
7
1988
Local behavior of Riemann’s function. Zbl 0889.26004
Jaffard, Stéphane
6
1995
Large deviation spectra based on wavelet leaders. Zbl 1355.42035
Bastin, Françoise; Esser, Céline; Jaffard, Stéphane
6
2016
Some mathematical results about the multifractal formalism for functions. Zbl 0876.42020
Jaffard, Stephane
5
1994
Construction of functions with prescribed Hölder and chirp exponents. Zbl 0987.42024
Jaffard, Stéphane
5
2000
Divergence of wavelet series: a multifractal analysis. Zbl 1388.42080
Esser, Céline; Jaffard, Stéphane
5
2018
Wavelet decomposition of one and several dimensional Gaussian processes. Zbl 0785.60026
Benassi, Albert; Jaffard, Stéphane
5
1994
On box dimension of graphs. (Sur la dimension de boîte des graphes.) Zbl 0917.28006
Jaffard, Stéphane
5
1998
A Bridge between geometric measure theory and signal processing: multifractal analysis. Zbl 1327.28008
Abry, P.; Jaffard, S.; Wendt, H.
5
2015
Local multifractal analysis. Zbl 1321.28013
Barral, Julien; Durand, Arnaud; Jaffard, Stéphane; Seuret, Stéphane
5
2013
Multifractal functions: Recent advances and open problems. Zbl 1114.28008
Jaffard, Stéphane
4
2004
Regularity of plate equations with control concentrated in interior curves. Zbl 0889.35059
Jaffard, Stéphane; Tucsnak, Marius
4
1997
The Sobolev embeddings are usually sharp. Zbl 1158.46023
Fraysse, A.; Jaffard, S.
4
2005
Multifractal analysis for images: the wavelet leaders contribution. (Analyse multifractale d’images: l’apport des coefficients dominants.) Zbl 1185.94023
Wendt, Herwig; Abry, Patrice; Roux, Stéphane G.; Jaffard, Stéphane; Vedel, Béatrice
4
2009
Space-filling functions and Davenport series. Zbl 1216.28014
Jaffard, Stéphane; Nicolay, Samuel
4
2010
Oscillating singularities and fractal functions. Zbl 1003.28007
Arneodo, A.; Bacry, E.; Jaffard, S.; Muzy, J. F.
4
1999
Erratum: A simple Wilson orthonormal basis with exponential decay. Zbl 0794.46008
Daubechies, Ingrid; Jaffard, Stéphane; Journé, Jean-Lin
4
1991
The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes. II: Analysis of the reduced problem and determination of the Child-Langmuir current. Zbl 0844.35087
Degond, P.; Jaffard, S.; Poupaud, F.; Raviart, P. A.
4
1996
The Frisch-Parisi conjecture, and the genericity of multifractal functions. (Conjecture de Frisch et Parisi et généricité des fonctions multifractales.) Zbl 0977.28007
Jaffard, Stéphane
4
2000
Some interactions between analysis, probability theory and fractals. To Benoît Mandelbrot, in memoriam. (Quelques interactions entre analyse, probabilités et fractals. A Benoît Mandelbrot, in memoriam.) Zbl 1308.28002
Barral, Julien; Berestycki, Julien; Bertoin, Jean; Fan, Aihua; Haas, Bénédicte; Jaffard, Stéphane; Miermont, Grégory; Peyrière, Jacques
4
2010
Peano-Pólya motions, when time is intrinsic or binomial (uniform or multifractal). Zbl 0922.28006
Mandelbrot, Benoît B.; Jaffard, Stéphane
4
1997
Multivariate multifractal analysis. Zbl 1417.94018
Jaffard, Stéphane; Seuret, Stéphane; Wendt, Herwig; Leonarduzzi, Roberto; Roux, Stéphane; Abry, Patrice
4
2019
Sur la dimension de Hausdorff des points singuliers d’une fonction. (On the Hausdorff dimension of the singular points of a function). Zbl 0751.46024
Jaffard, Stéphane
3
1992
Wavelet expansions, function spaces and multifractal analysis. Zbl 0990.42017
Jaffard, S.
3
2001
Wavelets for detecting gravitational waves. (Des ondelettes pour détecter les ondes gravitationnelles.) Zbl 1361.83009
Chassande-Mottin, E.; Jaffard, S.; Meyer, Y.
3
2016
New exponents for pointwise singularity classification. Zbl 1390.28010
Abry, Patrice; Jaffard, Stéphane; Leonarduzzi, Roberto; Melot, Clothilde; Wendt, Herwig
3
2017
Two results concerning chirps and 2-microlocal exponents prescription. Zbl 0930.42022
Guiheneuf, Bertrand; Jaffard, Stéphane; Lévy Véhel, Jacques
3
1998
Trace theorems and “negative dimensions”. (Théorèmes de trace et “dimensions négatives”.) Zbl 0874.46024
Jaffard, Stéphane
2
1995
Morphology of the mixing layer in the Rayleigh-Taylor instability. Zbl 0868.76030
Mimouni, Stéphane; Laval, G.; Scheurer, B.; Jaffard, S.
2
1995
A representation theorem for Schauder bases in Hilbert space. Zbl 0893.46009
Jaffard, Stephane; Young, Robert M.
2
1998
Construction of wavelets on open sets. Zbl 0850.42009
Jaffard, S.
2
1989
Les ondelettes. (The wavelets). Zbl 0684.42018
Jaffard, S.; Meyer, Y.
2
1989
Multifractal formalism for functions. (Formalisme multifractal pour les fonctions.) Zbl 0787.28004
Jaffard, Stéphane
2
1993
Module de continuité des champs aléatoires gaussiens étudiés au moyen d’ondelettes appropriées. (Continuity modulus of Gaussian random fields decomposed on an appropriate wavelet basis). Zbl 0757.60046
Benassi, Albert; Jaffard, Stéphane; Roux, Daniel
1
1992
Wavelets and nonlinear analysis. Zbl 0891.42019
Jaffard, Stéphane
1
1994
Analyse multi-échelle des champs gaussiens markoviens d’ordre p indexés par [0,1]. (Multiscale analysis of p-order Markov Gaussian fields, indexed by [0,1]). Zbl 0731.60036
Benassi, Albert; Jaffard, Stéphane; Roux, Daniel
1
1991
Wavelet methods in mathematical analysis and engineering. Papers based on the ISFMA (Sino-French Institute of Applied Mathematics) symposium, Guangzhou, China, August 2007. Zbl 1205.65008
1
2010
Approximate sampling theorem and the order of smoothness of the Besov space. Zbl 1218.42012
Jaffard, Stéphane; Okada, Masami; Ueno, Toshihide
1
2010
Regularity properties of Haar frames. Zbl 1479.42084
Jaffard, Stéphane; Krim, Hamid
1
2021
Multivariate multifractal analysis. Zbl 1417.94018
Jaffard, Stéphane; Seuret, Stéphane; Wendt, Herwig; Leonarduzzi, Roberto; Roux, Stéphane; Abry, Patrice
4
2019
A generalized multifractal formalism for the estimation of nonconcave multifractal spectra. Zbl 1415.94160
Leonarduzzi, Roberto; Abry, Patrice; Wendt, Herwig; Jaffard, Stéphane; Touchette, Hugo
1
2019
Multifractal analysis of the Brjuno function. Zbl 1435.11014
Jaffard, Stéphane; Martin, Bruno
12
2018
Divergence of wavelet series: a multifractal analysis. Zbl 1388.42080
Esser, Céline; Jaffard, Stéphane
5
2018
New exponents for pointwise singularity classification. Zbl 1390.28010
Abry, Patrice; Jaffard, Stéphane; Leonarduzzi, Roberto; Melot, Clothilde; Wendt, Herwig
3
2017
Finite-resolution effects in \(p\)-leader multifractal analysis. Zbl 1415.94161
Leonarduzzi, Roberto; Wendt, Herwig; Abry, Patrice; Jaffard, Stéphane; Melot, Clothilde
1
2017
\(p\)-exponent and \(p\)-leaders. I: Negative pointwise regularity. Zbl 1400.42043
Jaffard, S.; Melot, C.; Leonarduzzi, R.; Wendt, H.; Abry, P.; Roux, S. G.; Torres, M. E.
10
2016
\(p\)-exponent and \(p\)-leaders. II: Multifractal analysis. relations to detrended fluctuation analysis. Zbl 1400.42044
Leonarduzzi, R.; Wendt, H.; Abry, P.; Jaffard, S.; Melot, C.; Roux, S. G.; Torres, M. E.
7
2016
Large deviation spectra based on wavelet leaders. Zbl 1355.42035
Bastin, Françoise; Esser, Céline; Jaffard, Stéphane
6
2016
Wavelets for detecting gravitational waves. (Des ondelettes pour détecter les ondes gravitationnelles.) Zbl 1361.83009
Chassande-Mottin, E.; Jaffard, S.; Meyer, Y.
3
2016
Irregularities and scaling in signal and image processing: multifractal analysis. Zbl 1403.94014
Abry, Patrice; Jaffard, Stéphane; Wendt, Herwig
16
2015
Multifractal analysis based on \(p\)-exponents and lacunarity exponents. Zbl 1337.28008
Abry, Patrice; Jaffard, Stéphane; Leonarduzzi, Roberto; Melot, Clothilde; Wendt, Herwig
8
2015
The hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic fields. Zbl 1336.46028
Abry, Patrice; Clausel, Marianne; Jaffard, Stéphane; Roux, Stéphane G.; Vedel, Béatrice
7
2015
A Bridge between geometric measure theory and signal processing: multifractal analysis. Zbl 1327.28008
Abry, P.; Jaffard, S.; Wendt, H.
5
2015
Self-similar anisotropic texture analysis: the hyperbolic wavelet transform contribution. Zbl 1373.94354
Roux, Stéphane G.; Clausel, Marianne; Vedel, Béatrice; Jaffard, Stéphane; Abry, P.
12
2013
Local multifractal analysis. Zbl 1321.28013
Barral, Julien; Durand, Arnaud; Jaffard, Stéphane; Seuret, Stéphane
5
2013
Multivariate Davenport series. Zbl 1268.28012
Durand, Arnaud; Jaffard, Stéphane
1
2013
Multifractal analysis of Lévy fields. Zbl 1247.60066
Durand, Arnaud; Jaffard, Stéphane
15
2012
The influence of Benoît B. Mandelbrot on mathematics. Zbl 1284.01048
Stewart, Ian; Mumford, David; Howe, Roger; Furstenberg, Hillel; Falconer, Kenneth; West, Bruce J.; Coppens, Marc-Olivier; Cohen, Nathan; Jaffard, Stéphane; Berry, Michael; Frame, Michael
1
2012
Function spaces vs. scaling functions: tools for image classification. Zbl 1218.94011
Jaffard, Stéphane; Abry, Patrice; Roux, Stéphane
8
2011
A pure jump Markov process with a random singularity spectrum. Zbl 1205.60148
Barral, Julien; Fournier, Nicolas; Jaffard, Stéphane; Seuret, Stéphane
16
2010
The contribution of wavelets in multifractal analysis. Zbl 1218.28004
Jaffard, Stéphane; Abry, Patrice; Roux, Stéphane G.; Vedel, Béatrice; Wendt, Herwig
11
2010
Pointwise and directional regularity of nonharmonic Fourier series. Zbl 1193.42126
Jaffard, S.
9
2010
Space-filling functions and Davenport series. Zbl 1216.28014
Jaffard, Stéphane; Nicolay, Samuel
4
2010
Some interactions between analysis, probability theory and fractals. To Benoît Mandelbrot, in memoriam. (Quelques interactions entre analyse, probabilités et fractals. A Benoît Mandelbrot, in memoriam.) Zbl 1308.28002
Barral, Julien; Berestycki, Julien; Bertoin, Jean; Fan, Aihua; Haas, Bénédicte; Jaffard, Stéphane; Miermont, Grégory; Peyrière, Jacques
4
2010
Wavelet methods in mathematical analysis and engineering. Papers based on the ISFMA (Sino-French Institute of Applied Mathematics) symposium, Guangzhou, China, August 2007. Zbl 1205.65008
1
2010
Approximate sampling theorem and the order of smoothness of the Besov space. Zbl 1218.42012
Jaffard, Stéphane; Okada, Masami; Ueno, Toshihide
1
2010
Hölder exponents of arbitrary functions. Zbl 1203.26021
Ayache, Antoine; Jaffard, Stéphane
1
2010
Wavelet leaders and bootstrap for multifractal analysis of images. Zbl 1161.94315
Wendt, Herwig; Roux, Stéphane G.; Jaffard, Stéphane; Abry, Patrice
23
2009
Pointwise smoothness of space-filling functions. Zbl 1173.26002
Jaffard, S.; Nicolay, S.
10
2009
Multifractal analysis for images: the wavelet leaders contribution. (Analyse multifractale d’images: l’apport des coefficients dominants.) Zbl 1185.94023
Wendt, Herwig; Abry, Patrice; Roux, Stéphane G.; Jaffard, Stéphane; Vedel, Béatrice
4
2009
Wavelet leaders in multifractal analysis. Zbl 1114.65164
Jaffard, Stéphane; Lashermes, Bruno; Abry, Patrice
30
2007
Wavelet construction of generalized multifractional processes. Zbl 1123.60022
Ayache, Antoine; Jaffard, Stéphane; Taqqu, Murad S.
21
2007
How smooth is almost every function in a Sobolev space? Zbl 1155.28302
Fraysse, Aurélia; Jaffard, Stéphane
24
2006
Wavelet techniques for pointwise regularity. Zbl 1166.42019
Jaffard, Stéphane
16
2006
Topological properties of the sequence spaces \(S^{\nu }\). Zbl 1103.46002
Aubry, Jean-Marie; Bastin, Françoise; Dispa, Sophie; Jaffard, Stéphane
10
2006
Pointwise regularity associated with function spaces and multifractal analysis. Zbl 1119.26007
Jaffard, Stéphane
7
2006
Beyond Besov spaces. II: Oscillation spaces. Zbl 1076.42024
Jaffard, Stéphane
20
2005
Wavelet analysis of fractal boundaries. I: Local exponents. Zbl 1080.28005
Jaffard, Stéphane; Mélot, Clothilde
19
2005
Wavelet analysis of fractal boundaries. II: Multifractal analysis. Zbl 1081.28007
Jaffard, Stéphane; Mélot, Clothilde
14
2005
Some generic properties in analysis,. (Quelques propriétés génériques en analyse.) Zbl 1090.28008
Fraysse, Aurélia; Jaffard, Stéphane; Kahane, Jean-Pierre
8
2005
The Sobolev embeddings are usually sharp. Zbl 1158.46023
Fraysse, A.; Jaffard, S.
4
2005
Wavelet techniques in multifractal analysis. Zbl 1093.28005
Jaffard, Stéphane
62
2004
Beyond Besov spaces. I: Distributions of wavelet coefficients. Zbl 1075.42014
Jaffard, Stéphane
17
2004
Pointwise regularity criteria. Zbl 1074.42006
Jaffard, Stéphane
10
2004
On Davenport expansions. Zbl 1123.28002
Jaffard, Stéphane
10
2004
Multifractal functions: Recent advances and open problems. Zbl 1114.28008
Jaffard, Stéphane
4
2004
Random wavelet series. Zbl 1011.42025
Aubry, Jean-Marie; Jaffard, Stéphane
31
2002
Wavelets. Tools for science and technology. Zbl 0970.42020
Jaffard, Stéphane; Meyer, Yves; Ryan, Robert D.
39
2001
Estimates of the constants in generalized Ingham’s inequality and applications to the control of the wave equation. Zbl 1003.93028
Jaffard, Stéphane; Micu, Sorin
16
2001
Wavelet expansions, function spaces and multifractal analysis. Zbl 0990.42017
Jaffard, S.
3
2001
On the Frisch-Parisi conjecture. Zbl 0963.28009
Jaffard, Stéphane
53
2000
On lacunary wavelet series. Zbl 1063.60053
Jaffard, Stéphane
43
2000
On the pointwise regularity of functions in critical Besov spaces. Zbl 0968.46023
Jaffard, Stéphane; Meyer, Yves
13
2000
Construction of functions with prescribed Hölder and chirp exponents. Zbl 0987.42024
Jaffard, Stéphane
5
2000
The Frisch-Parisi conjecture, and the genericity of multifractal functions. (Conjecture de Frisch et Parisi et généricité des fonctions multifractales.) Zbl 0977.28007
Jaffard, Stéphane
4
2000
The multifractal nature of Lévy processes. Zbl 0947.60039
Jaffard, Stéphane
80
1999
Analysis of the lack of compactness in the critical Sobolev embeddings. Zbl 0922.46030
Jaffard, Stéphane
35
1999
Oscillating singularities and fractal functions. Zbl 1003.28007
Arneodo, A.; Bacry, E.; Jaffard, S.; Muzy, J. F.
4
1999
Mathematical tools for multifractal signal processing. Zbl 0991.94012
Jaffard, Stéphane
1
1999
Identification of filtered white noises. Zbl 0932.60037
Benassi, Albert; Cohen, Serge; Istas, Jacques; Jaffard, Stéphane
29
1998
Singular internal stabilization of the wave equation. Zbl 0920.35029
Jaffard, Stéphane; Tucsnak, Marius; Zuazua, Enrique
26
1998
Singularity spectrum of multifractal functions involving oscillating singularities. Zbl 0914.28005
Arneodo, A.; Bacry, E.; Jaffard, S.; Muzy, J. F.
22
1998
Oscillation spaces: Properties and applications to fractal and multifractral functions. Zbl 0930.42021
Jaffard, Stéphane
20
1998
On box dimension of graphs. (Sur la dimension de boîte des graphes.) Zbl 0917.28006
Jaffard, Stéphane
5
1998
Two results concerning chirps and 2-microlocal exponents prescription. Zbl 0930.42022
Guiheneuf, Bertrand; Jaffard, Stéphane; Lévy Véhel, Jacques
3
1998
A representation theorem for Schauder bases in Hilbert space. Zbl 0893.46009
Jaffard, Stephane; Young, Robert M.
2
1998
Elliptic Gaussian random processes. Zbl 0880.60053
Benassi, Albert; Jaffard, Stéphane; Roux, Daniel
163
1997
Multifractal formalism for functions. I: Results valid for all functions. Zbl 0876.42021
Jaffard, S.
80
1997
Multifractal formalism for functions. II: Self-similar functions. Zbl 0876.42022
Jaffard, S.
35
1997
Old friends revisited: The multifractal nature of some classical functions. Zbl 0880.28007
Jaffard, Stéphane
26
1997
On a theorem of Ingham. Zbl 0939.42004
Jaffard, Stéphane; Tucsnak, Marius; Zuazua, Enrique
15
1997
Oscillating singularities on Cantor sets: A grand-canonical multifractal formalism. Zbl 0917.28007
Arneodo, A.; Bacry, E.; Jaffard, S.; Muzy, J. F.
10
1997
Regularity of plate equations with control concentrated in interior curves. Zbl 0889.35059
Jaffard, Stéphane; Tucsnak, Marius
4
1997
Peano-Pólya motions, when time is intrinsic or binomial (uniform or multifractal). Zbl 0922.28006
Mandelbrot, Benoît B.; Jaffard, Stéphane
4
1997
Wavelet methods for pointwise regularity and local oscillations of functions. Zbl 0873.42019
Jaffard, Stéphane; Meyer, Yves
108
1996
The spectrum of singularities of Riemann’s function. Zbl 0889.26005
Jaffard, Stéphane
60
1996
Local regularity of nonsmooth wavelet expansions and application to the Polya function. Zbl 0916.42024
Jaffard, Stéphane; Mandelbrot, Benoît B.
16
1996
The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes. I: Statement of the problem and basic estimates. Zbl 0844.35086
Degond, P.; Jaffard, S.; Poupaud, F.; Raviart, P. A.
7
1996
The Child-Langmuir asymptotics of the Vlasov-Poisson equation for cylindrically or spherically symmetric diodes. II: Analysis of the reduced problem and determination of the Child-Langmuir current. Zbl 0844.35087
Degond, P.; Jaffard, S.; Poupaud, F.; Raviart, P. A.
4
1996
Functions with prescribed Hölder exponent. Zbl 0835.42021
Jaffard, Stéphane
9
1995
Local behavior of Riemann’s function. Zbl 0889.26004
Jaffard, Stéphane
6
1995
Trace theorems and “negative dimensions”. (Théorèmes de trace et “dimensions négatives”.) Zbl 0874.46024
Jaffard, Stéphane
2
1995
Morphology of the mixing layer in the Rayleigh-Taylor instability. Zbl 0868.76030
Mimouni, Stéphane; Laval, G.; Scheurer, B.; Jaffard, S.
2
1995
On selfsimilar functions. (Sur les fonctions autosimilaires.) Zbl 0889.28006
Jaffard, Stéphane
1
1995
Some mathematical results about the multifractal formalism for functions. Zbl 0876.42020
Jaffard, Stephane
5
1994
Wavelet decomposition of one and several dimensional Gaussian processes. Zbl 0785.60026
Benassi, Albert; Jaffard, Stéphane
5
1994
Wavelets and nonlinear analysis. Zbl 0891.42019
Jaffard, Stéphane
1
1994
Identification of elliptic Gaussian processes. (Identification de processus gaussiens elliptiques.) Zbl 0820.60029
Benassi, Albert; Cohen, Serge; Jaffard, Stéphane
1
1994
Wavelets and analysis of partial differential equations. Zbl 0841.65095
Jaffard, S.
1
1994
Multifractal formalism for functions. (Formalisme multifractal pour les fonctions.) Zbl 0787.28004
Jaffard, Stéphane
2
1993
Analysis of a singular elliptic problem by wavelets. (Analyse par ondelettes d’un problème elliptique singulier.) Zbl 0742.35027
Jaffard, Stéphane
1
1993
Multiscale analysis of Gaussian Markov processes of order \(p\) on (0,1). (Analyse multi-échelle des processus gaussiens markoviens d’ordre \(p\) indexés par (0,1).) Zbl 0779.60064
Benassi, Albert; Jaffard, Stéphane; Roux, Daniel
1
1993
Wavelet methods for fast resolution of elliptic problems. Zbl 0761.65083
Jaffard, Stephane
53
1992
Orthonormal wavelets, analysis of operators, and applications to numerical analysis. Zbl 0764.65066
Jaffard, S.; Laurençot, Ph.
16
1992
Construction of multifractal functions with a prescribed spectrum of singularities. (Construction de fonctions multifractales ayant un spectre de singularités prescrit.) Zbl 0780.28005
Jaffard, Stéphane
8
1992
Sur la dimension de Hausdorff des points singuliers d’une fonction. (On the Hausdorff dimension of the singular points of a function). Zbl 0751.46024
Jaffard, Stéphane
3
1992
Module de continuité des champs aléatoires gaussiens étudiés au moyen d’ondelettes appropriées. (Continuity modulus of Gaussian random fields decomposed on an appropriate wavelet basis). Zbl 0757.60046
Benassi, Albert; Jaffard, Stéphane; Roux, Daniel
1
1992
Pointwise smoothness, two-microlocalization and wavelet coefficients. Zbl 0760.42016
Jaffard, S.
74
1991
...and 12 more Documents
all top 5

Cited by 1,323 Authors

40 Jaffard, Stéphane
31 Seuret, Stéphane
24 Ben Slimane, Mourad
21 Barral, Julien
18 Ayache, Antoine
16 Gröchenig, Karlheinz
16 Nicolay, Samuel
16 Sun, Qiyu
15 Abry, Patrice
13 Anh, Vo V.
13 Lévy Véhel, Jacques
12 Abid, Moez Ben
12 Zuazua, Enrique
11 Tucsnak, Marius
10 Leonenko, Nikolai N.
10 Ruiz-Medina, María Dolores
9 Angulo, José Miguel
9 Bahouri, Hajer
9 Ben Mabrouk, Anouar
9 Ben Omrane, Ines
9 Mélot, Clothilde
9 Shin, Chang Eon
9 Wendt, Herwig
9 Xiao, Yimin
8 Esser, Céline
8 Komornik, Vilmos
8 Muzy, Jean-François
8 Olsen, Lars Ole Ronnow
8 Roux, Stéphane G.
7 Bacry, Emmanuel
7 Herbin, Erick
7 Istas, Jacques
6 Arneodo, Alain
6 Benassi, Albert
6 Bianchi, Sergio
6 Chamizo Lorente, Fernando
6 Clausel, Marianne
6 Dozzi, Marco E.
6 Durand, Arnaud
6 Eceizabarrena, Daniel
6 Fageot, Julien
6 Fang, Qiquan
6 Halouani, Borhen
6 Kempka, Henning
6 Krishtal, Ilya Arkadievich
6 Labate, Demetrio
6 Leonarduzzi, Roberto
6 Loosveldt, Laurent
6 Loreti, Paola
6 Pilipović, Stevan
6 Privat, Yannick
6 Strohmer, Thomas
6 Tintarev, Kyril
6 Unser, Michael A.
6 Vega, Luis
5 Bastin, Françoise
5 Ben Braiek, Hnia
5 Benedetto, John Joseph
5 Biermé, Hermine
5 Canuto, Claudio
5 Dahlke, Stephan
5 Guo, Kanghui
5 Kubilius, Kȩstutis
5 Lacaux, Céline
5 Lebovits, Joachim
5 Macià, Fabricio
5 Marty, Renaud
5 Meyer, Yves F.
5 Micu, Sorin
5 Okoudjou, Kasso A.
5 Pašić, Mervan
5 Perrier, Valérie
5 Petrykiewicz, Izabela
5 Pianese, Augusto
5 Shieh, Narn-Rueih
5 Taqqu, Murad S.
5 Vindas, Jasson
4 Aouidi, Jamil
4 Aubry, Jean-Marie
4 Bayart, Frédéric
4 Bertoluzza, Silvia
4 Beylkin, Gregory
4 Christensen, Ole
4 Cohen, Albert
4 Cohen, Serge
4 Dahmen, Wolfgang A.
4 Degond, Pierre
4 Ding, Yiming
4 Eyink, Gregory L.
4 Gallagher, Isabelle
4 Gonçalves, Helena F.
4 Grahovac, Danijel
4 Jin, Xiong
4 Kleyntssens, Thomas
4 Klotz, Andreas
4 Lemarié-Rieusset, Pierre Gilles
4 Mandelbrot, Benoit B.
4 Masmoudi, Nader
4 Panwar, Suman
4 Peng, Qidi
...and 1,223 more Authors
all top 5

Cited in 293 Serials

62 Applied and Computational Harmonic Analysis
48 The Journal of Fourier Analysis and Applications
34 Journal of Mathematical Analysis and Applications
33 Stochastic Processes and their Applications
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
25 Journal of Functional Analysis
20 International Journal of Wavelets, Multiresolution and Information Processing
17 Journal of Approximation Theory
16 Statistics & Probability Letters
15 The Annals of Statistics
15 Journal of Differential Equations
13 Physica A
13 Chaos, Solitons and Fractals
12 Transactions of the American Mathematical Society
12 Journal of Theoretical Probability
12 Bernoulli
11 Communications in Mathematical Physics
11 Stochastic Analysis and Applications
10 Journal of Mathematical Physics
10 Advances in Mathematics
10 Applied Mathematics and Computation
10 Revista Matemática Iberoamericana
10 Fractals
9 Journal of Computational Physics
9 Mathematics of Computation
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Advances in Computational Mathematics
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8 Mathematische Nachrichten
8 Constructive Approximation
7 Journal of Computational and Applied Mathematics
7 Monatshefte für Mathematik
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Stochastics
6 Archive for Rational Mechanics and Analysis
6 Journal of Statistical Physics
6 Nonlinearity
6 Proceedings of the American Mathematical Society
6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
6 Bulletin des Sciences Mathématiques
6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 Mediterranean Journal of Mathematics
5 Advances in Applied Probability
5 Computers & Mathematics with Applications
5 Journal d’Analyse Mathématique
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 The Annals of Probability
5 SIAM Journal on Control and Optimization
5 Systems & Control Letters
5 The Annals of Applied Probability
5 Theory of Probability and Mathematical Statistics
5 Chaos
5 Statistical Inference for Stochastic Processes
5 Communications in Nonlinear Science and Numerical Simulation
5 Evolution Equations and Control Theory
4 Applicable Analysis
4 Computer Methods in Applied Mechanics and Engineering
4 Mathematical Methods in the Applied Sciences
4 Physica D
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Probability Theory and Related Fields
4 MCSS. Mathematics of Control, Signals, and Systems
4 The Journal of Geometric Analysis
4 International Journal of Computer Mathematics
4 Linear Algebra and its Applications
4 Annales Mathématiques Blaise Pascal
4 Revista Matemática Complutense
4 Methodology and Computing in Applied Probability
4 Science China. Mathematics
4 Journal of Function Spaces
4 Journal de l’École Polytechnique – Mathématiques
3 Journal of Fluid Mechanics
3 Physics Letters. A
3 Annales de l’Institut Fourier
3 Journal of Applied Probability
3 Journal of Number Theory
3 Mathematische Zeitschrift
3 Numerical Functional Analysis and Optimization
3 Numerische Mathematik
3 Results in Mathematics
3 Probability and Mathematical Statistics
3 Acta Applicandae Mathematicae
3 Journal of Scientific Computing
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Communications in Statistics. Theory and Methods
3 SIAM Journal on Mathematical Analysis
3 Computational Statistics and Data Analysis
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Electronic Journal of Probability
3 Mathematical Problems in Engineering
3 Acta Mathematica Sinica. English Series
3 Stochastic Models
3 Journal of Function Spaces and Applications
3 Journal of Statistical Mechanics: Theory and Experiment
3 Proceedings of the Steklov Institute of Mathematics
3 Electronic Journal of Statistics
3 Analysis & PDE
2 Analysis Mathematica
2 International Journal of Theoretical Physics
2 Journal of the Franklin Institute
...and 193 more Serials
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Cited in 50 Fields

346 Harmonic analysis on Euclidean spaces (42-XX)
252 Probability theory and stochastic processes (60-XX)
209 Partial differential equations (35-XX)
181 Measure and integration (28-XX)
172 Numerical analysis (65-XX)
152 Functional analysis (46-XX)
99 Statistics (62-XX)
96 Systems theory; control (93-XX)
87 Real functions (26-XX)
85 Information and communication theory, circuits (94-XX)
65 Operator theory (47-XX)
51 Fluid mechanics (76-XX)
43 Approximations and expansions (41-XX)
40 Number theory (11-XX)
40 Dynamical systems and ergodic theory (37-XX)
38 Mechanics of deformable solids (74-XX)
26 Statistical mechanics, structure of matter (82-XX)
24 Computer science (68-XX)
23 Ordinary differential equations (34-XX)
21 Functions of a complex variable (30-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
20 Quantum theory (81-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
15 Global analysis, analysis on manifolds (58-XX)
12 Optics, electromagnetic theory (78-XX)
12 Biology and other natural sciences (92-XX)
11 Abstract harmonic analysis (43-XX)
11 Integral equations (45-XX)
8 Sequences, series, summability (40-XX)
8 Geophysics (86-XX)
7 Integral transforms, operational calculus (44-XX)
7 Operations research, mathematical programming (90-XX)
6 General topology (54-XX)
5 Combinatorics (05-XX)
5 Difference and functional equations (39-XX)
4 Special functions (33-XX)
3 Topological groups, Lie groups (22-XX)
3 Potential theory (31-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Differential geometry (53-XX)
2 Mechanics of particles and systems (70-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

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