{"id":28,"date":"2021-08-30T14:50:27","date_gmt":"2021-08-30T12:50:27","guid":{"rendered":"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/?page_id=28"},"modified":"2025-12-03T13:03:18","modified_gmt":"2025-12-03T12:03:18","slug":"divers","status":"publish","type":"page","link":"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/divers\/","title":{"rendered":"Miscellaneous files"},"content":{"rendered":"\n<p>My curriculum Vitae:<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-b768c611-a443-4ae9-b18c-c330e90fd31d\" href=\"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-content\/uploads\/sites\/36\/2025\/08\/CV___Gaetan_Leclerc-1.pdf\">CV___Ga\u00e9tan_Leclerc<\/a><\/div>\n\n\n\n<p>A few maths report done when I was an undergrad, in french or english:<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-fce97c3a-0db5-47ae-bac4-c1c1fe813d2d\" href=\"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-content\/uploads\/sites\/36\/2022\/11\/Fourier_transform_of__fractal__measures_and_applications.pdf\">Fourier transform of (fractal) measures and applications<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-35dfa7fc-6317-4e19-8a52-47dd76417737\" href=\"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-content\/uploads\/sites\/36\/2021\/08\/Seminaire-Laplacien-de-Bochner.pdf\">Laplacien de Bochner<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-c3425359-c386-4d25-906a-f267dac5a4ec\" href=\"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-content\/uploads\/sites\/36\/2021\/08\/Riemannian_Geometry_and_Geometric_Analysis.pdf\">Riemannian Geometry and Geometric Analysis<\/a><\/div>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-5acaf42a-11db-4101-8a79-da0d2a741099\" href=\"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-content\/uploads\/sites\/36\/2021\/08\/Theorie_analytique_des_nombres.pdf\">Theorie analytique des nombres<\/a><\/div>\n\n\n\n<p>Louise Leclerc website: <a href=\"https:\/\/luyise.github.io\/\/\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/luyise.github.io\/\/<\/a><\/p>\n\n\n\n<p>The official version of my PhD manuscript, containing upgraded versions of all of my previous papers\/preprints. In particular, Chapter 4 and 5 contains the first proof of the positivity of the fourier dimension for the basic set of a nonlinear Axiom A diffeo on a surface. <\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-4e6cb551-7bb3-4ba5-a656-fa54247a341b\" href=\"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-content\/uploads\/sites\/36\/2024\/11\/PhD__Nonlinearity__fractals__Fourier_decay___Final_french_version_2.pdf\">PhD:_Nonlinearity,_fractals,_Fourier_decay<\/a><\/div>\n\n\n\n<p>A complete paper version of Chapter 5 from the PhD is finally available ! It is available on arxiv: <a href=\"https:\/\/arxiv.org\/abs\/2507.23731\">https:\/\/arxiv.org\/abs\/2507.23731<\/a> . As a bonus, there is a beautiful application of Fourier decay for the study of quantum properties of quasicrystals.<\/p>\n\n\n\n<p>Here are some notes about a strenghtening of the usual RAGE Theorem, as well as a strong improvement over my results in the Fibonacci Hamiltoanian paper. It seems like power decay of the density of state measure was actually enough to show a way stronger dispersivity estimate than I imagined at first. It is here:<\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-content\/uploads\/sites\/36\/2025\/12\/A_note_on_the_RAGE_Theorem_and_the_Fibonacci_Hamiltonian.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Contenu embarqu\u00e9 A_note_on_the_RAGE_Theorem_and_the_Fibonacci_Hamiltonian.\"><\/object><a id=\"wp-block-file--media-63ee3862-02f2-40d3-8918-bcf8c272a444\" href=\"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-content\/uploads\/sites\/36\/2025\/12\/A_note_on_the_RAGE_Theorem_and_the_Fibonacci_Hamiltonian.pdf\">A_note_on_the_RAGE_Theorem_and_the_Fibonacci_Hamiltonian<\/a><a href=\"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-content\/uploads\/sites\/36\/2025\/12\/A_note_on_the_RAGE_Theorem_and_the_Fibonacci_Hamiltonian.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-63ee3862-02f2-40d3-8918-bcf8c272a444\">T\u00e9l\u00e9charger<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>My curriculum Vitae: A few maths report done when I was an undergrad, in french or english: Louise Leclerc website: https:\/\/luyise.github.io\/\/ The official version of my PhD manuscript, containing upgraded versions of all of my previous papers\/preprints. In particular, Chapter 4 and 5 contains the first proof of the positivity of the fourier dimension for [&hellip;]<\/p>\n","protected":false},"author":37,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-28","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-json\/wp\/v2\/pages\/28","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-json\/wp\/v2\/users\/37"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-json\/wp\/v2\/comments?post=28"}],"version-history":[{"count":40,"href":"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-json\/wp\/v2\/pages\/28\/revisions"}],"predecessor-version":[{"id":240,"href":"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-json\/wp\/v2\/pages\/28\/revisions\/240"}],"wp:attachment":[{"href":"https:\/\/perso.imj-prg.fr\/gaetan-leclerc\/wp-json\/wp\/v2\/media?parent=28"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}