Publications

2015

Xiequan Fan, Ion Grama, Quansheng Liu. Exponential inequalities for martingales with applications. Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2015, 20, pp.1 – 22. <10.1214/EJP.v20-3496>. 

 

Ronan Le Guével, Jacques Lévy-Vehel, Lining Liu. On two multistable extensions of stable Lévy motion and their semimartingale representation. Journal of Theoretical Probability, Sprnger, 2015, 28 (3), pp.1125-1144. <10.1007/s10959-013-0528-6>. 

 

Xiequan Fan, Jacques Lévy Véhel. Multistable Lévy motions and their continuous approximations. 2015. 

 

Alexandre Richard. Increment stationarity of $L^2$-indexed stochastic processes: spectral representation and characterization. 2015. 

 

Xiequan Fan, Ion Grama, Quansheng Liu. Sharp large deviation results for sums of independent random variables. Science China Mathematics, 2015, 58 (9), pp.1939-1958. 

 

Alexandre Richard. A fractional Brownian field indexed by $L^2$ and a varying Hurst parameter. Stochastic Processes and their Applications, Elsevier, 2015, 125. 

 

Jacques Lévy Véhel, Pierre-Emmanuel Lévy Véhel, Victor Lévy Véhel. A model investigating incentives for illegal cultural goods sharing sites to become legal. 2015. 

 

2014

Alexandre Richard. Régulation densité-dépendante des juvéniles de truites Salmo trutta sous l’effet du rempoissonnement : implications pour la gestion. Ecologie, Environnement. Université de Grenoble, 2014. Français. 

 

Xiequan Fan, Ion Grama, Quansheng Liu. A generalization of Cramér large deviations for martingales. C. R. Acad. Sci. Paris, Ser. I, Elsevier, 2014, 352, pp.853-858. 

 

Benjamin Arras. Around some selfsimilar processes with stationary increments. Probability [math.PR]. ECOLE CENTRALE DE PARIS, 2014. English. 

 

Alexandre Richard. Some singular sample path properties of a multiparameter fractional Brownian motion. 2014. 

 

Jérôme Dedecker, Xiequan Fan. Deviation inequalities for separately Lipschitz functionals of iterated random functions. MAP5 2014-06. 26 pages. 2014. 

 

Joachim Lebovits, Jacques Lévy Véhel, Erick Herbin. Stochastic integration with respect to multifractional Brownian motion via tangent fractional Brownian motions. Stochastic Processes and their Applications, Elsevier, 2014, pp.678-708. 

 

Joachim Lebovits, Jacques Lévy Véhel. White noise-based stochastic calculus with respect to multifractional Brownian motion. Stochastics An International Journal of Probability and Stochastic Processes, Taylor & Francis, 2014, 86 (1), pp.87-124. 

 

Ronan Le Guével, Jacques Lévy Véhel. Hausdorff, Large Deviation and Legendre Multifractal Spectra of Lévy Multistable Processes. 2014. 

 

Paul Balança. Régularité fine de processus stochastiques et analyse 2-microlocale. Mathématiques générales [math.GM]. Ecole Centrale Paris, 2014. Français. . 

 

Antoine Echelard, Jacques Lévy Véhel, Anne Philippe. Statistical estimation of a class of self-regulating processes. To appear in Scandinavian Journal of Statistics. 2014. 

 

Sylvain Corlay, Joachim Lebovits, Jacques Lévy Véhel. Multifractional Stochastic volatility models. Mathematical Finance, Wiley, 2014, 24 (2), pp.364-402. 

 

Benjamin Arras. Autour de quelques processus à accroissements stationnaires et autosimilaires. Autre. Ecole Centrale Paris, 2014. Français. . 

 

Alexandre Richard. Local regularity of some fractional Brownian fields. Engineering Sciences [physics]. Ecole Centrale Paris, 2014. English. . 

 

Joachim Lebovits. Stochastic Calculus with respect to Gaussian processes. 2014. 

 

2013

Erick Herbin, Benjamin Arras, Geoffroy Barruel. From almost sure local regularity to almost sure Hausdorff dimension for Gaussian fields. ESAIM: Probability and Statistics, EDP Sciences, 2013, 28p. 

 

Benjamin Arras. A white noise approach to stochastic integration with respect to the Rosenblatt process. 2013. 

 

Erick Herbin, Ely Merzbach. The set-indexed Lévy process: Stationarity, Markov and sample paths properties. Stochastic Processes and their Applications, Elsevier, 2013, 123, pp.1638-1670. 

 

Lisandro J. Fermin, Jacques Lévy Véhel. Variability and singularity arising from poor compliance in a pharmacokinetic model II: the multi-oral case. submitted. 2013. 

 

Hicham El Mekeddem, Jacques Lévy Véhel. Value at Risk with tempered multistable motions. 30th International French Finance Association Conference, May 2013, Lyon, France. 2013. 

 

Jacques Lévy Véhel. Financial modelling with tempered multistable motions. International Workshop on Statistical modeling, financial data analysis and applications, Nov 2013, Venise, Italy. 2013. 

Ronan Le Guével, Jacques Lévy Véhel. Incremental moments and Hölder exponents of multifractional multistable processes. ESAIM: Probability and Statistics, EDP Sciences, 2013, 17, pp.135-178. <10.1051/ps/2011151>. 

 

Antoine Echelard, Jacques Lévy Véhel. Local Regularity Preserving Signal Denoising I: Hölder Exponents. submitted. 2013. 

 

Pierre-Emmanuel Lévy Véhel, Jacques Lévy Véhel. Variability and singularity arising from poor compliance in a pharmacokinetic model I: the multi-IV case. Journal of Pharmacokinetics and Pharmacodynamics, Springer Verlag, 2013, 40 (1), pp.15-39. 

 

Jacques Lévy Véhel. Beyond multifractional Brownian motion: new stochastic models for geophysical modelling. Nonlinear Processes in Geophysics, European Geosciences Union (EGU), 2013. 

 

Xiequan Fan, Ion Grama, Quansheng Liu. Cramér large deviation expansions for martingales under Bernstein’s condition. Stochastic Processes and their Applications, Elsevier, 2013, 123, pp.3919-3942. 

 

Xiequan Fan, Ion Grama, Quansheng Liu. Cramér large deviation expansions for martingales under Bernstein’s condition. Stochastic Processes and their Applications, Elsevier, 2013, 123, pp.3919-3942. 

 

Xiequan Fan, Ion Grama, Quansheng Liu. Sharp large deviations under Bernstein’s condition. C. R. Acad. Sci. Paris, Ser. I, Elsevier, 2013, 351, pp.845-848. 

 

Joachim Lebovits. From Stochastic Integration wrt Fractional Brownian Motion to Stochastic Integration wrt Multifractional Brownian Motion. Annals of the University of Bucharest (mathematical series), University of Bucharest, 2013, 4 (LXII), pp.397-413. 

 

Joachim Lebovits. From Stochastic Integration w.r.t. Fractional Brownian Motion to Stochastic Integration wrt Multifractional Brownian Motion. Annals of the University of Bucarest, University of Bucarest, 2013. 

 

Jacques Lévy Véhel, Michal Rams. Large Deviation Multifractal Analysis of a Class of Additive Processes with Correlated Non-Stationary Increments. IIEEE/ACM Transactions on Networking, 2013, 21 (4), pp.1309-1321. 

 

Jacques Lévy Véhel, Franklin Mendivil. Christiane’s Hair. American Mathematical Monthly, Mathematical Association of America, 2013, 120 (9), pp.771-786. 

 

2012

Erick Herbin, Alexandre Richard. Local Hölder regularity for set-indexed processes. 39 pages, 2 figures. 2012. 

 

Benjamin Arras. On a class of self-similar processes with stationary increments in higher order Wiener chaoses. 21 pages. 2012. 

 

Jacques Lévy-Vehel, Franklin Mendivil. Local complex dimensions of a fractal string. International Journal of mathematical modelling and numerical optimisation, inderscience, 2012, Special Issue on: « Fractals, Fractal-based Methods and Applications », 3 (4). 

 

Antoine Echelard, Jacques Lévy Véhel. Self-regulating processes-based modeling for arrhythmia characterization. Imaging and Signal Processing in Health Care and Technology, May 2012, Baltimore, United States. 2012. 

 

Jacques Lévy Véhel, Michel Tesmer. A New Method for Multifractal Spectrum Estimation with Applications to Texture Description. Best Paper Award at the International Conference on Mass Data Analysis of Images and Signals (MDA’2012), Jul 2012, Berlin, Germany. 2012. 

Xiequan Fan, Ion Grama, Quansheng Liu. Large deviation exponential inequalities for supermartingales. Electron. Commun. Probab., 2012, 17 (59), pp.1-8. 

 

Xiequan Fan, Ion Grama, Quansheng Liu. Hoeffding’s inequality for supermartingales. Stochastic Processes and their Applications, Elsevier, 2012, 122, pp.3545-3559. 

 

Xiequan Fan, Ion Grama, Quansheng Liu. Large deviation exponential inequalities for supermartingales. Electron. Commun. Probab., 2012, 17 (59), pp.1-8. 

Xiequan Fan, Ion Grama, Quansheng Liu. Hoeffding’s inequality for supermartingales. Stochastic Processes and their Applications, Elsevier, 2012, 122, pp.3545-3559. 

Leonardo Trujillo, Pierrick Legrand, Gustavo Olague, Jacques Lévy-Vehel. Evolving Estimators of the Pointwise Holder Exponent with Genetic Programming. Information Sciences, Elsevier, 2012, 209, pp.61-79. <10.1016/j.ins.2012.04.043>. 

 

Paul Balança, Erick Herbin. 2-microlocal analysis of martingales and stochastic integrals. Stochastic Processes and their Applications, Elsevier, 2012, 122, pp.2346-2382. <10.1016/j.spa.2012.03.011>. 

 

Paul Balança, Erick Herbin. A set-indexed Ornstein-Uhlenbeck process. Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2012, 17 (39), pp.1-14. <10.1214/ECP.v17-1903>. 

 

Ronan Le Guével, Jacques Lévy Véhel. A Ferguson – Klass – LePage series representation of multistable multifractional processes and related processes. Bernoulli, Bernoulli Society for Mathematical Statistics and Probability, 2012, 18 (4), pp.1099-1127. <10.3150/11-BEJ372>. 

 

Olivier Barriere, Antoine Echelard, Jacques Lévy Véhel. Self-Regulating Processes. Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2012, <10.1214/EJP.v17-2010>. 

 

Joachim Lebovits. Stochastic calculus with respect to multi-fractional Brownian motion and applications to finance. Other. Ecole Centrale Paris, 2012. English. . 

 

2011

Vincent Corretja, Pierrick Legrand, Eric Grivel, Jacques Lévy-Vehel. Relevance of the Hölderian regularity-based interpolation for range-Doppler ISAR image post-processing.. RADAR 2011: 6th International Conference on Radar, Oct 2011, Chengdu, China. 2011. 

 

Jacques Lévy Véhel, Franklin Mendivil. Multifractal and higher dimensional zeta functions. Nonlinearity, IOP Publishing, 2011, 24 (1), pp.259-276. <10.1088/0951-7715/24/1/013>. 

 

2010

Antoine Echelard, Olivier Barrière, Jacques Lévy Véhel. Terrain modelling with multifractional Brownian motion and self-regulating processes. Leonard Bolc and, Ryszard Tadeusiewicz and, Leszek J. Chmielewski and Konrad W. Wojciechowski. ICCVG 2010, Sep 2010, Warsaw, Poland. Springer, 6374, pp.342-351, 2010, Lecture Notes in Computer Science. 

 

Leonardo Trujillo, Pierrick Legrand, Jacques Lévy Véhel. The estimation of Hölderian regularity using genetic programming. Genetic and Evolutionary Computation Conference (GECCO 2010). Best Paper Award in « Genetic Programming », Jul 2010, Portland Oregon, United States. ISBN 978-1-4503-0072-8, pp.861-868, 2010. 

 

2009

Erick Herbin, Jacques Lévy-Véhel. Stochastic 2-microlocal analysis. Stochastic Processes and their Applications, Elsevier, 2009, 119, pp.2277-2311. 

 

Erick Herbin, Jacques Lévy Véhel. Stochastic 2 micro-local analysis. Stochastic Processes and their Applications, Elsevier, 2009, 119 (7), pp.2277-2311. <10.1016/j.spa.2008.11.005>. 

 

Michel Lapidus, Jacques Lévy Véhel, John Rock. Fractal Strings and Multifractal Zeta Functions. Letters in Mathematical Physics, Springer Verlag, 2009, 88 (1-3), pp.101-129. <10.1007/s11005-009-0302-y>. 

 

Erick Herbin, Ely Merzbach. Stationarity and Self-similarity Characterization of the Set-indexed Fractional Brownian Motion. Journal of Theoretical Probability, Sprnger, 2009, 22 (4), pp.1010-1029. <10.1007/s10959-008-0180-8>. 

 

Kenneth Falconer, Ronan Le Guével, Jacques Lévy Véhel. Localisable moving average stable and multistable processes. 2009. 

 

Kenneth Falconer, Ronan Le Guével, Jacques Lévy Véhel. Localisable moving average symmetric stable and multistable processes. Stochastic Models, INFORMS (Institute for Operations Research and Management Sciences), 2009, 25 (4), pp.648-672. <10.1080/15326340903291321>. 

 

Kenneth Falconer, Jacques Lévy Véhel. Multifractional, multistable, and other processes with prescribed local form. Journal of Theoretical Probability, Sprnger, 2009, 22 (2), pp.375-401. <10.1007/s10959-008-0147-9>. 

 

Olivier Barrière, Jacques Lévy Véhel. Intervalles interbattements cardiaques et Processus Auto-Régulé Multifractionnaire. Journal de la Société Française de Statistique, Société Française de Statistique et Société Mathématique de France, 2009, 150 (1), pp.54-72. 

 

Patrice Abry, Paulo Gonçalves, Jacques Lévy Véhel. Scaling, Fractals and Wavelets. Patrice Abry, Paulo Gonçalves and Jacques Lévy Véhel. WILEY-ISTE, pp.464, 2009, Digital signal and inmage processing series, 9781848210721. 

Antoine Echelard, Jacques Lévy Véhel, Claude Tricot. A Unified Framework for the Study of the 2-microlocal and Large Deviation Multifractal Spectra. Self similar processes and their applications, Jul 2009, Angers, France. 28, pp.13-44, 2012, Séminaires et Congrès. . 

 

2008

Antoine Echelard, Jacques Lévy Véhel. Wavelet denoising based on local regularity information. EUPSICO 2008, 16th European Signal Processing Program, Aug 2008, Lausanne, Switzerland. 2008. 

 

Olivier Barriere, Jacques Lévy Véhel. Local Holder regularity-based modeling of RR intervals. CBMS 2008, 21th IEEE International Symposium on Computer-Based Medical Systems, Jun 2008, Jyvaskyla, Finland. 2008. 

 

2007

Jacques Lévy Véhel, Franklin Mendivil, Evelyne Lutton. Overcompressing JPEG images. EvoIASP2007, Apr 2007, Valencia, Spain. pp.1, 2007. 

 

Michal Rams, Jacques Lévy Véhel. Results on the dimension spectrum for self-conformal measures. Nonlinearity, IOP Publishing, 2007, 20 (4), pp.965-973. <10.1088/0951-7715/20/4/009>. 

 

Evelyne Lutton, Jacques Lévy Véhel. Evolutionary multifractal signal/image denoising. Evolutionary Computer vision, EURASIP, pp.1-25, 2007, EURASIP Book Series. 

 

Antoine Ayache, Pierre Bertrand, Jacques Lévy Véhel. A Central Limit Theorem for the Generalized Quadratic Variation of the Step Fractional Brownian Motion. Statistical Inference for Stochastic Processes, Springer Verlag, 2007, 10 (1), pp.1-27. <10.1007/s11203-005-0532-2>. 

 

Olivier Barrière, Jacques Lévy Véhel. Estimation locale : compromis régression-variance. Colloque GRETSI, Sep 2007, Troyes, France. pp.593-596, 2007. 

 

Pierrick Legrand, Claire Bourgeois-Republique, Vincent Pean, Esther Harboun-Cohen, Jacques Lévy Véhel, et al.. Interactive evolution for cochlear implants fitting. Genetic Programming and Evolvable Machines, Springer Verlag, 2007, 8 (4), pp.319-354. 

 

2006

Evelyne Lutton, Jacques Lévy Véhel, Yann Landrin-Schweitzer. Experiments on controlled regularity fitness landscapes. [Research Report] RR-5823, INRIA. 2006, pp.17. 

 

Erick Herbin. From N parameter fractional Brownian motions to N parameter multifractional Brownian motions. Rocky Mountain Journal of Mathematics, Rocky Mountain Mathematics Consortium, 2006, 36 (4), pp.1249-1284. 

 

Evelyne Lutton, Jacques Lévy Véhel. Pointwise Regularity of Fitness Landscapes and the Performance of a Simple ES. CEC, Jul 2006, Vancouver, Canada. pp.1, 2006. 

 

Marie-Francoise Devaux, Ina Taralova, Jacques Lévy Véhel, Estelle Bonnin, Jean-Francois Thibault, et al.. Contribution of image analysis to the description of enzymatic degradation kinetics for particulate food material. International Journal of Food Engineering, De Gruyter, 2006, 77 (4), pp.1096-1107. 

 

Emmanuel Nauer, Alexandre Richard, Sébastien Derriere, Françoise Genova, Amedeo Napoli, et al.. Construction d’une ontologie de descripteurs UCD en astronomie. 17e journées francophones d’Ingénierie des connaissances – IC 2006, 2006, Nantes, France. 2006. 

 

Erick Herbin, Ely Merzbach. A Characterization of the Set-indexed Fractional Brownian Motion by Increasing Paths. Comptes Rendus- Academie des Sciences Paris Serie 1, Elsevier, 2006, 343, pp.767-772. 

 

Erick Herbin, Ely Merzbach. The Multiparameter Fractional Brownian Motion. Math Everywhere: deterministic and stochastic modelling in biomedicine, economics and industry, 2006, Italy. XVIII, pp.93-101, 2006. 

 

E. Herbin, E. Merzbach. A set-indexed fractional Brownian motion. Journal of Theoretical Probability, Sprnger, 2006, 19 (2), pp.337-364. 

 

E. Herbin. From N-parameter fractional Brownian motions to N-parameter multifractional Brownian motions. Rocky Mountain Journal of Mathematics, Rocky Mountain Mathematics Consortium, 2006, 36 (4), pp.1249-1284. 

 

Jacques Lévy Véhel, Pierrick Legrand. Hölderian regularity-based image interpolation. ICASSP 06, International Conference on Acoustics, Speech, and Signal Processing, 2006, Toulouse, France. IEEE, 3, pp.852-855, 2006, <10.1109/ICASSP.2006.1660788>. 

 

2005

Evelyne Lutton, Mario Pilz, Jacques Lévy Véhel. Interactivité efficace pour les algorithmes évolutionnaires interactifs. Application au débruitage multifractal d’images. [Rapport de recherche] RR-5535, INRIA. 2005, pp.20. 

 

Evelyne Lutton, Pierre Grenier, Jacques Lévy Véhel. An Interactive EA for Multifractal Bayesian Denoising. EvoIASP 2005, Mar 2005, Lausanne, Suisse. pp.1, 2005. 

 

Evelyne Lutton, Mario Pilz, Jacques Lévy Véhel. The Fitness Map Scheme. Application to interactive multifractal image denoising. IEEE Congress on Evolutionary Computation is in Edinburgh, Sep 2005, United Kingdom. pp.1, 2005. 

 

Jacques Lévy Véhel, Evelyne Lutton. Fractals in Engineering – New Trends in Theory and Applications. Springer, pp.289, 2005, 978-1846280474. 

Antoine Echelard, Jacques Lévy Véhel, Ina Taralova. Application of fractal tools for the classification of microscopical images of milk fat. GRETSI, 2005, Louvain-la-Nouve, Belgium. 2005. 

 

Emmanuel Nauer, Alexandre Richard, Sébastien Derriere, Françoise Genova, Amedeo Napoli, et al.. Construction d’une ontologie de descripteurs UCD en astronomie. [Rapport de recherche] 2005, pp.15. 

 

2004

Antoine Ayache, Jacques Lévy Véhel. On the Identification of the Pointwise Holder Exponent of the Generalized Multifractional Brownian Motion. Stochastic Processes and their Applications, Elsevier, 2004, 111 (1), pp.119-156. <10.1016/j.spa.2003.11.002>. 

 

Stéphane Lafon, Jacques Lévy Véhel. An easily implementable sampling procedure for certain fractal and other non-band limited signals. 6th Nordic Signal Processing Symposium – NORSIG 2004, Jun 2004, Espoo, Finland. 2004. 

 

Julien Barral, Jacques Lévy Véhel. Multifractal Analysis of a Class of Additive Processes with Correlated Non-Stationary Increments. Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2004, 9 (16), pp.508-543. 

 

Jacques Lévy Véhel, Pierrick Legrand. Signal and Image processing with FracLab. FRACTAL04, Complexity and Fractals in Nature, 8th International Multidisciplinary Conference, Apr 2004, Vancouver, Canada. Thinking in Patterns : fractals and related phenomena in nature, pp.321-322, 2004. 

 

Pierrick Legrand, Jacques Lévy Véhel, Do Minh Tan. Fractal properties and characterization of road profiles. FRACTAL04, Complexity and Fractals in Nature, 8th International Multidisciplinary Conference, Apr 2004, Vancouver, Canada. Thinking in Patterns : fractals and related phenomena in nature, pp.189-198, 2004. 

 

Antoine Ayache, Albert Benassi, Serge Cohen, Jacques Lévy Véhel. Regularity and identification of Generalized Multifractional Gaussian Processes. Lecture Notes in Mathematics, Springer-Verlag Heidelberg, 2004, Séminaire de Probabilités XXXVIII, 1857, pp.290-312. <10.1007/978-3-540-31449-3_20>. 

 

Jacques Lévy Véhel, Claude Tricot. On various multifractal spectra. Progress in Probability, BirkhÃuser Verlag, 2004, Fractal Geometry and Stochastics III, 57, pp.23-42. 

 

2003

Jacques Lévy Véhel, Stéphane Seuret. 2-microlocal Formalism. [Research Report] RR-4741, INRIA. 2003. 

 

Pierrick Legrand, Jacques Lévy Véhel. Local regularity-based image denoising. ICIP03, IEEE International Conference on Image Processing, Sep 2003, Barcelona, Spain. III, pp.377-380, 2003. 

 

Pierrick Legrand, Jacques Lévy Véhel. Interpolation de signaux par conservation de la régularité Hölderienne. GRETSI03, 19 th GRETSI Symposium on Signal and Image Processing, Sep 2003, Paris, France. 2003. 

 

Pierrick Legrand, Jacques Lévy Véhel. Local regularity-based interpolation. WAVELET X, Part of SPIE’s Symposium on Optical Science and Technology, Aug 2003, San Diego, United States. 5207, 2003. 

 

Jacques Lévy Véhel, Pierrick Legrand. Bayesian multifractal signal denoising. ICASSP03, IEEE International Conference on Acoustics, Speech, and Signal Processing, Apr 2003, Hong-Kong, China. 2003. 

 

2002

Stephane Seuret, Jacques Lévy Véhel. The local Hölder function of a continuous function. Applied and Computational Harmonic Analysis, Elsevier, 2002, 13 (3), pp.263-276. 

 

Beatrice Pesquet-Popescu, Jacques Lévy Véhel. Stochastic Fractal Models for Image Processing. IEEE Signal Procesing Magazine, IEEE, 2002, 19 (5), pp.48-62. <10.1109/MSP.2002.1028352>. 

 

Stéphane Seuret, Jacques Lévy Véhel. A Time Domain Characterization of 2-microlocal Spaces. [Technical Report] 2002, 34 p. 

 

Stéphane Seuret, Jacques Lévy Véhel. A Time Domain Characterization of 2-microlocal Spaces. [Research Report] RR-4545, INRIA. 2002. 

 

Jacques Lévy Véhel, Christian Walter. Les Marchés fractals. Puf, 192 p., 2002, Finance, 978-2-13-050710-9. 

Jacques Lévy Véhel. Signal enhancement based on Hölder regularity analysis. Michael F. Barnsley, Dietmar Saupe, and Edward Vrscay. Fractals in Multimedia, 132, Springer Science and Business Media, pp.197-209, 2002, The IMA Volumes in Mathematics and its Applications. 

 

Khalid Daoudi, Jacques Lévy Véhel. Signal Representation and Segmentation based on Multifractal Stationarity. Signal Processing, Elsevier, 2002, 82 (12), pp.2015-2024. 

Patrice Abry, Paulo Gonçalves, Jacques Lévy Véhel. Lois d’Echelle, Fractales et Ondelettes. Hermès Sciences Publications, 1 & 2, pp.272 & 269, 2002, Information – Commande – Communication. 

2001

Jacques Lévy Véhel. Weakly Self Affine Functions and Applications in Signal Processing. CUADERNOS del Instituto de Matematica « Beppo Levi », Instituto de Matematica Beppo Levi, 2001, 30, pp.35-49. 

 

Kiran Kolwankar, Jacques Lévy Véhel. Measuring Functions Smoothness with Local Fractional Derivatives. Fractional Calculus and Applied Analysis, Institute of Mathematics and Informatics Bulgarian Academy of Sciences, 2001, 4 (3), pp.285-301. 

 

Antoine Ayache, Jacques Lévy Véhel. Processus à régularité locale prescrite. Comptes Rendus de l Académie des Sciences – Series I – Mathematiques, Académie des sciences, 2001, 333 (3), pp.233-238. 

 

Jacques Lévy Véhel, Evelyne Lutton. Evolutionary signal enhancement based on Hölder regularity analysis. Third European Workshop on Evolutionary Computation in Image Analysis and Signal Processing – EVOIASP 2001, Apr 2001, Como, Italy. 2001. 

 

2000

Antoine Ayache, Serge Cohen, Jacques Lévy Véhel. The covariance structure of multifractional Brownian motion, with application to long range dependence. 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing – ICASSP 2000, 2000, Istanbul, Turkey. 2000, <10.1109/ICASSP.2000.860233>. 

 

Kenneth Falconer, Jacques Lévy Véhel. Horizons of fractional Brownian surfaces. Proceedings of the Royal Society A, Royal Society, 2000, 456 (2001), pp.2153-2178. <10.1098/rspa.2000.0607>. 

 

Jacques Lévy Véhel, Anne Manoury. Wavelet packet based digital watermarking. International Conference on Pattern Recognition (ICPR), Sep 2000, Barcelona, Spain. IEEE, 3, pp.413 – 416, 2000, <10.1109/ICPR.2000.903572>. 

 

Jacques Lévy Véhel. Analyse Fractale : une nouvelle génération d’outils pour le Traitement du Signal. Revue des Sciences et Technologies de l’Information – Série TSI : Technique et Science Informatiques, Lavoisier, 2000, 19 (1-3), pp.335-350. 

 

Bertrand Guilheneuf, Jacques Lévy Véhel. Texture-based Video Indexing. IASTED, International Conference Signal and Image Processing, 2000, Las Vegas, United States. 2000. 

 

Lotfi Belkacem, Jacques Lévy-Vehel, Christian Walter. CAPM, Risk and Portfolio Selection in « alpha-Stable Markets ». Fractals, World Scientific Publishing, 2000, 8 (1), pp.99-116. <10.1142/S0218348X00000111>. 

1999

Anne Manoury, Jacques Lévy Véhel, Marie-Françoise Lucas. Watermarking d’images par paquets d’ondelettes. GRETSI, 1999, Vannes, France. 1999. 

 

Antoine Ayache, Jacques Lévy Véhel. Generalized Multifractional Brownian Motion: Definition and Preliminary Results. M. Dekking, J. Lévy Véhel, E. Lutton and C. Tricot. Fractals – Theory and Applications in Engineering, Springer, 1999. 

 

F. M. Dekking, Jacques Lévy Véhel, Evelyne Lutton, Claude Tricot. Fractals: Theory and Applications in Engineering. Michel Dekking, Jacques Levy Vehel, Evelyne Lutton and Claude Tricot. Springer-Verlag, pp.355, 1999. 

1998

Jacques Lévy Véhel, Evelyne Lutton. Hölder functions and Deception of Genetic Algorithms. IEEE transactions on Evolutionary computing, IEEE, 1998, 2 (2), pp.56-71. <10.1109/4235.728208>. 

 

Bertrand Guilheneuf, Stéphane Jaffard, Jacques Lévy Véhel. Two results concerning chirps and 2-microlocal exponents prescription. Applied and Computational Harmonic Analysis, Elsevier, 1998, 5 (4), pp.487-492. <10.1006/acha.1997.0241>. 

 

François Roueff, Jacques Lévy Véhel. A Regularization Approach to Fractional Dimension Estimation. M M Novak. Fractals 98, Oct 1998, Valleta, Malta. World Scientific, 1998. 

 

Jacques Lévy Véhel. Introduction to the Multifractal Analysis of Images. Yuval Fisher. Fractal Image Encoding and Analysis, 159, Springer, pp.299-341, 1998, 3-540-63196-8. 

 

Khalid Daoudi, Jacques Lévy Véhel, Yves Meyer. Construction of continuous functions with prescribed local regularity. Constructive Approximation, Springer Verlag, 1998, 14 (3), pp.349-385. <10.1007/s003659900078>. 

 

Bertrand Guiheneuf, Jacques Lévy Véhel. 2-Microlocal Analysis and Application in Signal Processing. International Wavelet Conference, Apr 1998, Tanger, Morocco. 1998. 

 

Jacques Lévy-Vehel, Robert Vojak. Multifractal Analysis of Choquet Capacities: Preliminary Results. Advances in Applied Mathematics, Elsevier, 1998, 20 (1), pp.1-43. . 

Canus Christophe, Jacques Lévy Véhel, Claude Tricot. Continuous Large Deviation Multifractal Spectrum: Definition and Estimation. M M Novak. Fractals 98, Oct 1998, Valleta, Malta. World Scientific, 1998. 

 

1997

Rudolf Riedi, Jacques Lévy Véhel. Multifractal Properties of TCP Traffic: a Numerical Study. [Research Report] RR-3129, INRIA. 1997. 

 

Jacques Lévy Véhel, Bertrand Guilheneuf. Multifractal image denoising. SCIA’97 : 10th Scandinavian conference on image analysis, Jun 1997, Lappeeranta, Finland. 1997. 

 

Jacques Lévy Véhel, Rudolf Riedi. Fractional Brownian motion and data traffic modeling: The other end of the spectrum. J. Levy Vehel and E. Lutton and C. Tricot. Fractals in Engineering : from theory to industrial applications, Springer, 1997, 3-540-76182-9. 

 

Jacques Lévy Véhel. Régularité ponctuelle, Analyse multifractale, et Traitement des signaux. Tutorial. 1997. 

 

Jacques Lévy Véhel, Evelyne Lutton, Claude Tricot. Fractals in Engineering: From Theory to Industrial Applications. Springer, pp.396, 1997, 3-540-76182-9. 

1996

Robert Vojak, Jacques Lévy Véhel. Higher Order Multifractal Analysis. [Research Report] RR-2796, INRIA. 1996. 

 

Lotfi Belkacem, Jacques Lévy Véhel, Christian Walter. CAPM, Risk and Portfolio Selection in «Stable» Markets. [Research Report] RR-2776, INRIA. 1996. 

 

Christophe Canus, Jacques Lévy Véhel. Change Detection in Sequences of Images by Multifractal Analysis. ICASSP’96 – IEEE International Conference On Acoustics, Speech and Signal Processing, May 1996, Atlanta, United States. IEEE Signal processing society, 4, pp.2172-2175, 1996, <10.1109/ICASSP.1996.545850>. 

 

Jacques Lévy Véhel. Fractal Approaches in Signal Processing. C.J.G. Evertsz and H.-O. Peitgen and R.F. Voss. Fractal Geometry and Analysis : the Mandelbrot festschrift, World Scientific, 1996, 981-02-2434-6. 

 

Jacques Lévy Véhel. Numerical Computation of the Large Deviation Multifractal Spectrum. M. Giona and G. Biardi. CFIC’96 – Chaos and Fractals in Chemical Engineering, Sep 1996, Rome, Italy. World Scientific Publishing, 1996. 

 

Jacques Lévy Véhel, Khalid Daoudi. Generalized IFS for Signal Processing. John M Lervik, Patrick Waldemar. Digital Signal Processing Workshop, Sep 1996, Loen, Norway. IEEE, 1996, <10.1109/DSPWS.1996.555571>. 

 

1995

Evelyne Lutton, Jacques Lévy Véhel, Guillaume Cretin, Philippe Glevarec, Cédric Roll. Mixed IFS : Resolution of the Inverse Problem Using Genetic Programming. [Research Report] RR-2631, INRIA. 1995. 

 

Jacques Lévy Véhel, Robert Vojak. Multifractal Analysis of Choquet Capacities : Preliminary Results. [Research Report] RR-2576, INRIA. 1995. 

 

Khalid Daoudi, Jacques Lévy Véhel, Yves Meyer. Construction of Continuous Functions with Prescribed Local Regularity. [Research Report] RR-2763, INRIA. 1995. 

 

Romain-François Peltier, Jacques Lévy Véhel. Multifractional Brownian Motion : Definition and Preliminary Results. [Research Report] RR-2645, INRIA. 1995. 

 

Evelyne Lutton, Jacques Lévy Véhel. Some Remarks on the Optimization of Hölder Functions with Genetic Algorithms. [Research Report] RR-2627, INRIA. 1995. 

 

Lotfi Belkacem, Jacques Lévy Véhel, Christian Walter. Generalized Market Equilibrium: « Stable » CAPM. AFFI – International Conference of Finance, Jun 1995, Bordeaux, France. 1995. 

 

Daoudi Khalid, Jacques Lévy Véhel. Speech Signal Modeling Based on Local Regularity Analysis. IASTED/IEEE International Conference on Signal and Image Processing (SIP’95), Nov 1995, Las Vegas, United States. 1995. 

1994

J. Lévy-Véhel, Daoudi Khalid, Lutton Evelyne. Fractal Modeling of Speech Signals. Fractals, World Scientific Publishing, 1994, 2 (3), pp.379–382. 

Romain François Peltier, Jacques Lévy Véhel. A new method for estimating the parameter. [Research Report] RR-2396, INRIA. 1994. 

 

Jacques Lévy Véhel, Pascal Mignot. Multifractal Segmentation of Images. Fractals, World Scientific Publishing, 1994, 2 (3), pp.371-378. <10.1142/S0218348X94000466>. 

 

Jacques Lévy Véhel, Daoudi Khalid, Evelyne Lutton. Fractal Modeling of Speech Signals. Fractals, World Scientific Publishing, 1994, 2 (3), pp.379-382. 

Jacques Lévy Véhel. Multifractal Segmentation of Remotely Sensed Images. In Fractals in Geoscience and Remote Sensing, Office for Official Publications of the European Co.. 1994. 

Robert Vojak, Jacques Lévy-Vehel. Predictability of multiplicative processes: a preliminary study. Fractals, World Scientific Publishing, 1994, 2 (3), pp.383-386. <10.1142/S0218348X9400048X>. 

Jacques Lévy-Vehel. Medical Image Segmentation with Multifractals. Edwin Diday and Yves Lechevallier and Martin Schader and Patrice Bertrand and Bernard Burtschy. New Approaches in Classification and Data Analysis, Springer, 1994, Studies in Classification, Data Analysis and Knowledge Organization, 978-3540584254. 

Jacques Lévy-Vehel, Robert Vojak, Mehdi Danech-Pajouh. Multifractal description of road traffic structure. 7th IFAC/IFORS Symposium on Transportation Systems : Theory and Application of Advanced Technology, 1994, Tianjin, China. 1994. 

1993

Jacques Lévy Véhel, Robert Vojak, Mehdi Danech-Pajouh. Multifractal description of road traffic structure. [Research Report] RR-1943, INRIA. 1993. 

 

Jacques Lévy Véhel, Jean-Paul Berroir. Image analysis throught multifractal description. [Research Report] RR-1942, INRIA. 1993. 

 

Jacques Lévy Véhel, Evelyne Lutton. Optimization of fractal : function using genetic algorithms. [Research Report] RR-1941, INRIA. 1993. 

 

Jean Marie Rocchisani, Jacques Lévy-Vehel, Frederic Paycha. Multifractal Measurements of Lung Diseases. First International Conference on Fractals in Biology and Medicine, Feb 1993, Ascona, Switzerland. 1993. 

Jean-Paul Berroir, Jacques Lévy-Vehel. Image Analysis through Multifractal Description. Fractal’ 93, 1993, London, United Kingdom. 1993. 

Jacques Lévy-Vehel, Jean-Paul Berroir. Multifractal tools for image processing. Kjell Arild Hogda and Bjorn Braathen and Karsten Heia. SCIA’93 : 8th Scandinavian Conference on Image Analysis, May 1993, Tromso, Norway. IAPR, pp.209-216, 1993. 

Pascal Mignot, Jacques Lévy-Vehel. ARTHUR : un Système d’Analyse de Textures. TS. Traitement du Signal, Lavoisier, Cachan, 1993, 9 (6), pp.507-517. 

1992

Jacques Lévy Véhel. Etat de l’Art en Géométrie Fractale. SGDN, 1992. 

Jacques Lévy Véhel, Pascal Mignot, Jean-Paul Berroir. Texture and multifractals : new tools for image analysis. [Research Report] RR-1706, INRIA. 1992. 

 

Jacques Lévy Véhel. Texture analysis using fractal probability functions. [Research Report] RR-1707, INRIA. 1992. 

 

Jacques Lévy Véhel. Fractal and integral geometry tools for texture deformation measurement. [Research Report] RR-1708, INRIA. 1992. 

 

Jacques Lévy Véhel, P. Mignot, Jean-Paul Berroir. Multifractals, Textures, and Image Analysis. IEEE Conference on Vision and Pattern Recognition (CVPR), 1992, Urbana Champaign, United States. 1992. 

Jacques Lévy-Vehel, Pascal Mignot, Jean-Paul Berroir. Multifractals, Texture, and Image Analysis. CVPR’92 – IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Jun 1992, Champaign, IL, United States. IEEE, 1992, <10.1109/CVPR.1992.223207>. 

1990

Jacques Lévy Véhel, André Gagalowicz. Fractal approximation of 2-D object. [Research Report] RR-1187, INRIA. 1990. 

 

Jacques Lévy Véhel. About lacunarity, some links between fractal and integral geometry, and an application to texture segmentation. [Research Report] RR-1188, INRIA. 1990. 

 

Jacques Lévy-Vehel. About lacunarity, some links between fractal and integral geometry, and an application to texture segmentation. ICCV’90 – Third International Conference on Computer Vision, Dec 1990, Osaka, Japan. IEEE, pp.380-384, 1990, <10.1109/ICCV.1990.139556>.