Les deux révisions précédentes Révision précédente Prochaine révision | Révision précédente |
fr:recherche [2023/12/21 13:58] – [Exposants de singularités ponctuelles] timhadjelt.s | fr:recherche [2024/04/12 11:44] (Version actuelle) – benard.l |
---|
====== Publications ====== | ====== Publications ====== |
| |
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]] | * (avec [[https://pure.au.dk/portal/en/persons/frahm%40math.au.dk|Jan Frahm]] et [[https://www.polyxenispilioti.com/ | Polyxeni Spilioti]]), **The twisted Ruelle zeta function on compact hyperbolic orbisurfaces and Reidemeister-Turaev torsion**, //[[https://jep.centre-mersenne.org/articles/10.5802/jep.247/| Journal de l’École polytechnique - Mathématiques, Tome 10 (2023), pp. 1391-1439.]]// |
| * (avec [[https://www.i2m.univ-amu.fr/perso/jean.raimbault/ | Jean Raimbault]]), **Twisted L2-torsion on the character variety***, //[[https://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT6622211 | Publicacions Matemàtiques, Volume 66, Issue 2 (2022) pp. 857-881]]// |
| * (avec Jérôme Dubois, [[https://lmbp.uca.fr/~heusener/ | Michael Heusener]] et [[https://mat.uab.cat/~porti/ || Joan Porti]]), **Asymptotics of twisted Alexander polynomials and hyperbolic volume**, //[[https://www.iumj.indiana.edu/IUMJ/ISSUE/2022/3 | Indiana University Mathematics Journal 71 (2022), 1209-1242]]// |
| * (avec [[https://sites.google.com/view/anthony-conway/home | Anthony Conway]]), **A multivariable Casson-Lin type invariant**, // [[https://aif.centre-mersenne.org/item/?id=AIF_2020__70_3_1029_0 | Annales de l'Institut Fourier, Tome 70 (2020) no. 3, pp. 1029-1084]]// |
| * **Torsion function on character varieties**, //[[https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-58/issue-2/Torsion-function-on-character-varieties/5060ojm.full | Osaka J. Math. 58 (2021), no. 2, 291-318]]// |
| * **Reidemeister torsion form on the character variety**, // [[https://msp.org/agt/2020/20-6/p03.xhtml | Algebraic & Geometric Topology 20 (2020) 2821-2884]]// |
| |
| ====== Pré-publications ====== |
| * (avec [[https://w-rdb.waseda.jp/html/100002211_en.html | Ryoto Tange]], [[https://personal.utdallas.edu/~anh.tran3/ | Anh Tran]] et [[https://scholar.google.com/citations?user=lE4HEJQAAAAJ&hl=ja | Jun Ueki]]), **Multiplicity of non-acyclic SL2-representations and L-functions of twisted Whitehead links**, //[[https://arxiv.org/abs/2303.15941 | arXiv:2303.15941]]// |
| * (avec [[https://www.imo.universite-paris-saclay.fr/~yann.chaubet/ | Yann Chaubet]], [[http://math.univ-lyon1.fr/homes-www/dang/ | Viet Dang]] et [[https://www.uni-math.gwdg.de/schick/index.html | Thomas Schick]], **Combinatorial zeta functions counting triangles**, //[[https://arxiv.org/abs/2303.11226 | arXiv:2303.112256]]// |
| * (avec Adrien Rodau et [[https://riemann.unizar.es/geotop/pub/vincent/ | Vincent Florens]]), **Slope invariant and the A-polynomial of knots**, // Accepté pour publication à New York Journal of Mathematics, [[https://arxiv.org/abs/2103.14151 | arXiv:2103.14151]]// |
| |
===== Probabilités, matrices aléatoires ===== | ====== Autres documents ====== |
* S. Timhadjelt "Spectral gap of convex combination of a random permutation and a bistochastic matrix" 2023,[[https://arxiv.org/abs/2310.16434|Arxiv]] | * Une prépublication de géologie: (avec Elco Luijendijk, Sarah Louis, Chistoph von Hagke et Jonas Kley), [[https://eartharxiv.org/repository/view/2135/ | An analytical solution for the exhumation of an orogenic wedge and a comparison with thermochronology data]], sur l'exhumation des roches en milieu montagneux |
| * [[https://www.ems-ph.org/journals/show_issue.php?issn=1660-8933&vol=17&iss=1 | Rapport Oberwolfach]] sur l'article "Asymptotics of twisted Alexander polynomials and hyperbolic volume", //conférence "Manifolds and groups"//, 2020 |
| *{{ :fr:these.pdf | Le manuscript}} de ma thèse, soutenue le 14/03/2018 |
===== Analyse multifractale ===== | *Le texte d'un mini-cours que j'ai donné en Juin 2017 lors d'une retraite GEAR, dans le Montana: {{ :fr:gear_workshop_2017.pdf | Compactification of moduli spaces of representations, Chapter 3: Morgan-Shalen compactification of the SL(2,C)-character variety}} |
| |
==== Analyse de fonctions multifractales ==== | |
* 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. 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]] | |
| |
==== Applications ==== | |
* 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]] | |
| |
| |
===== Problèmes inverses en traitement de l'image===== | |
* 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]] | |
* Y. Boursier, M. Dupont, S. Anthoine, J.F. Aujol, C. Melot. "Proximal Algorithms and CT: New Results on 3D Real Datas and Color CT", 2012 SIAM Conference on Imaging Science, Apr 2012, Philadelphie, United States [[https://hal.archives-ouvertes.fr/in2p3-00720055v1|HAL]] | |
| |
| |
===== Probabilités===== | |
* 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]] | |