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====== Publications ====== | ====== 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]] | Available also on the 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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===== Ondelettes sur graphes ===== | ===== Wavelets on graphs ===== |
* L. Avena, F. Castell, A. Gaudilliere, C. Melot. "Intertwining wavelets or Multiresolution analysis on graphs through random forests", Applied and Comp. Harmonic Analysis, 2018, in press.[[https://hal.archives-ouvertes.fr/hal-01877023v1|HAL]] | * L. Avena, F. Castell, A. Gaudilliere, C. Melot. "Intertwining wavelets or Multiresolution analysis on graphs through random forests", Applied and Comp. Harmonic Analysis, 2018, in press.[[https://hal.archives-ouvertes.fr/hal-01877023v1|HAL]] |
| * L. Avena, F. Castell, A. Gaudilliere, C. Melot. "Random Forests and Networks Analysis", Journal of Statistical Physics, November 2018, Volume 173, Issue 3–4, pp 985–1027 |
* L. Avena, F. Castell, A. Gaudilliere, C. Melot. "Approximate and exact solutions of intertwining equations through random spanning forests", preprint [[https://hal.archives-ouvertes.fr/hal-01470573v1|HAL]] | * L. Avena, F. Castell, A. Gaudilliere, C. Melot. "Approximate and exact solutions of intertwining equations through random spanning forests", preprint [[https://hal.archives-ouvertes.fr/hal-01470573v1|HAL]] |
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===== Analyse multifractale ===== | ===== Multifractal analysis ===== |
==== Exposants de singularités ponctuelles ==== | ==== Pointwise exponents ==== |
* 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. | * 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. |
* 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]] | * 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]] |
* S. Jaffard, C. Melot. "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]] | * S. Jaffard, C. Melot. "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]] |
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==== Analyse de fonctions multifractales ==== | ==== Analysis of multifractal functions ==== |
* 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]] | * 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]] | * 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]] |
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===== Problèmes inverses en traitement de l'image===== | ===== Inverse problems in image processing===== |
* C. Melot, Y. Boursier, J.F Aujol, S. Anthoine "Some proximal methods for Poisson intensity CBCT and PET", Inverse Problems and Imaging , AIMS American Institute of Mathematical Sciences, 2012, 6 (4), p. 565-598.[[https://hal.archives-ouvertes.fr/hal-00640215v1|HAL]] | * C. Melot, Y. Boursier, J.F Aujol, S. Anthoine "Some proximal methods for Poisson intensity CBCT and PET", Inverse Problems and Imaging , AIMS American Institute of Mathematical Sciences, 2012, 6 (4), p. 565-598.[[https://hal.archives-ouvertes.fr/hal-00640215v1|HAL]] |
* S. Anthoine, J. F Aujol, Y. Boursier, C. Melot. "On the efficiency of proximal methods for CBCT and PET", ICIP 2011 : 2011 IEEE International Conference on Image Processing, Sep 2011, Bruxelles, Belgium. pp.1365 - 1368, [[https://hal.archives-ouvertes.fr/in2p3-00869439v1|HAL]] | * S. Anthoine, J. F Aujol, Y. Boursier, C. Melot. "On the efficiency of proximal methods for CBCT and PET", ICIP 2011 : 2011 IEEE International Conference on Image Processing, Sep 2011, Bruxelles, Belgium. pp.1365 - 1368, [[https://hal.archives-ouvertes.fr/in2p3-00869439v1|HAL]] |
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===== Probabilités===== | ===== Probability theory===== |
* F. Castell, C. Laurent, C. Melot. "Exponential moments of self-intersection local times of stable random walks in subcritical dimensions", Journal of the London Mathematical Society (2), 2014, 89 (2), pp.876-902. [[https://hal.archives-ouvertes.fr/hal-00849628v1|HAL]] | * F. Castell, C. Laurent, C. Melot. "Exponential moments of self-intersection local times of stable random walks in subcritical dimensions", Journal of the London Mathematical Society (2), 2014, 89 (2), pp.876-902. [[https://hal.archives-ouvertes.fr/hal-00849628v1|HAL]] |