| Les deux révisions précédentes Révision précédente Prochaine révision | Révision précédente |
| recherche [2019/05/11 08:59] – [Analyse multifractale] melot | recherche [2024/04/12 14:59] (Version actuelle) – supprimée benard.l |
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| ====== Publications ====== | |
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| Liste et réferences disponibles également sur la page [[https://www.i2m.univ-amu.fr/spip.php?page=publications&aigle_annee=&aigle_auteur=54&id_theme=&details=0&typedoc=&aigle_frame=0&module=1&aigle_item_by_page=7&offset=0|I2M]] | |
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| ===== Analyse multifractale ===== | |
| * R. Leonarduzzi, H. Wendt, P. Abry, S. Jaffard, C. Melot, "Finite resolution effects in p-leader multifractal analysis," IEEE T. Signal Proces., vol. 65, no. 13, pp. 3359-3368, 2017. [[https://hal.archives-ouvertes.fr/hal-01479891|HAL]] | |
| * S. Jaffard, C. Melot, R. Leonarduzzi, H. Wendt, P. Abry, S. G. Roux, M. E. Torres, "p-exponent and p-leaders, Part I: Negative pointwise regularity," Physica A, vol. 448, pp. 300-318, 2016. [[https://hal.archives-ouvertes.fr/hal-01180560v1|HAL]] | |
| * R. Leonarduzzi, H. Wendt, P. Abry, S. Jaffard, C. Melot, S. G. Roux, M. E. Torres, "p-exponent and p-leaders, Part II: Multifractal Analysis, Relations to Detrended Fluctuation Analysis", Physica A, vol. 448, pp. 319-339, 2016.[[https://hal.archives-ouvertes.fr/hal-01291278v1|HAL]] | |
| * P. Abry, S. Jaffard, R. Leonarduzzi, C. Melot, H. Wendt. "New exponents for pointwise singularity classification", in Proc. Fractals and Related Fields III, 19-26 September 2015, Porquerolles, France, S. Seuret and J. Barral, Eds., 2017. | |
| * S. Jaffard, P. Abry, C. Melot, R. Leonarduzzi, H. Wendt. "Multifractal analysis based on p-exponents and lacunarity exponents", in Fractal Geometry and Stochastics V, C. Bandt et al., Eds., pp. 279-313, Series Progress in Probability, Vol. 70, Birkhäuser, 2015. [[https://hal.archives-ouvertes.fr/hal-01170037v1|HAL]] | |
| * C. Coiffard Marre, C. Melot, T. Willer. "A family of functions with two different spectra of singularities", in Journal of Fourier Analysis and Applications, Springer Verlag, 2014, 20 (5), pp.961-984. [[https://hal.archives-ouvertes.fr/hal-00831404v5|HAL]] | |
| * M. Ben Slimane, C. Melot. "Analysis of a fractal boundary: the graph of the Knopp function", Abstract and Applied Analysis, [[https://hal.archives-ouvertes.fr/hal-01037859v1|HAL]] | |
| * C. Melot, S. Jaffard. "Wavelet Analysis of Fractal Boundaries. Part 2: Multifractal Analysis", Communications in Mathematical Physics, Springer Verlag, 2005, 258, pp.541-565. [[https://hal.archives-ouvertes.fr/hal-01071366v1|HAL]] | |
| * C. Melot, S. Jaffard. "Wavelet analysis of fractal Boundaries, Part 1: Local regularity", Communications in Mathematical Physics, Springer Verlag, 2005, 258, pp.513-539. [[https://hal.archives-ouvertes.fr/hal-01071365v1|HAL]] | |
| * C. Melot "Oscillating singularities in Besov spaces", Journal de Mathématiques Pures et Appliquées, Elsevier, 2004, 83 (3), pp.367-416.[[https://hal.archives-ouvertes.fr/hal-01071363v1|HAL]] | |
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