{"id":70,"date":"2018-11-15T08:49:38","date_gmt":"2018-11-15T07:49:38","guid":{"rendered":"https:\/\/www.idpoisson.fr\/hillairet\/?page_id=70"},"modified":"2019-06-18T17:31:45","modified_gmt":"2019-06-18T15:31:45","slug":"recherche","status":"publish","type":"page","link":"https:\/\/www.idpoisson.fr\/hillairet\/recherche\/","title":{"rendered":"Publications"},"content":{"rendered":"<h3 id=\"publis\">Publications<\/h3>\n<ul>\n<li><strong>Formule de trace semi-classique sur une vari\u00e9t\u00e9 de dimension 3 avec un potentiel Dirac,<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/potdircpde.pdf\">.pdf<\/a><br \/>\n<span style=\"color: #cc7e2b\">C.P.D.E.<\/span> vol. 27, 9&#038;10, p.1751-1791 (2002)<\/li>\n<li><strong>Formule de trace sur une surface euclidienne \u00e0 singularit\u00e9s coniques,<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/HilCRAS.pdf\">.pdf<\/a><br \/>\n<span style=\"color: #cc7e2b\">C. R. Acad. Sci. Paris<\/span> Ser.I 335 (2002) 1047-1052<\/li>\n<li><strong>Diffractive geodesics of a polygonal billiard,&nbsp;<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/difgeo.pdf\">.pdf<\/a><br \/>\n<span style=\"color: #cc7e2b\">Proc. Edinb. Math. Soc.<\/span> vol.49, 71-86, (2006)<\/li>\n<li><strong>Contribution of periodic diffractive orbits,&nbsp;<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/HilJFA.pdf\">pdf<\/a><br \/>\n<span style=\"color: #cc7e2b\">Journ. Func. Anal. <\/span> vol. 226, p. 48-89, (2005)<\/li>\n<li><strong> Clustering of eigenvalues on translation surfaces,&nbsp;<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/HilAHP.pdf\">pdf<\/a><br \/>\n<span style=\"color: #cc7e2b\">Annales Henri Poincar\u00e9 <\/span> vol 7, no. 4, p. 689-710. (2006). (The original publication is avalaible at <a href=\"http:\/\/www.springerlink.com\">www.springerlink.com<\/a>)<\/li>\n<li><strong>Spectral Decomposition of square-tiled surfaces,&nbsp;<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/HilMZ.pdf\">pdf<\/a><br \/>\n<span style=\"color: #cc7e2b\">Mathematische Zeitschrift <\/span> vol. 260, no. 2, p. 393&#8211;408, (2008).<br \/>\n(The original publication is avalaible at <a href=\"http:\/\/www.springerlink.com\">www.springerlink.com<\/a>)<\/li>\n<li><strong>Generic spectral simplicity of polygons,&nbsp;<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/HJPAMS.pdf\">pdf<\/a><br \/>\nEn collaboration avec <a href=\"http:\/\/mypage.iu.edu\/~cjudge\"> Chris Judge <\/a><br \/>\n<span style=\"color: #cc7e2b\">Proc. A.M.S. <\/span>, vol. 137, no. 6, p. 2139&#8211;2145, (2009).<\/li>\n<li><strong>Eigenfunction concentration in polygonal billiards,&nbsp;<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/HHM.pdf\">pdf<\/a><br \/>\nEn collaboration avec <a href=\"http:\/\/wwwmaths.anu.edu.au\/~hassell\/\"> Andrew Hassell <\/a> et <a href=\"http:\/\/www.unc.edu\/~marzuola\/\">Jeremy Marzuola <\/a><br \/>\n<span style=\"color: #cc7e2b\">Comm. P.D.E. <\/span>, vol. 34, no 5-6, p. 475&#8211;495, (2009).<\/li>\n<li>Appendix de <strong>Ergodic billiards that are not quantum unique ergodic,&nbsp;<\/strong><br \/>\nEn collaboration avec <a href=\"http:\/\/wwwmaths.anu.edu.au\/~hassell\/\"> Andrew Hassell <\/a><br \/>\n<span style=\"color: #cc7e2b\">Ann. of Math. (2) <\/span>, vol. 171, no 1, p. 605&#8211;619, (2010).<\/li>\n<li><strong>The eigenvalues of a domain with small slits,<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/HJTAMS.pdf\">pdf<\/a><br \/>\nEn collaboration avec <a href=\"http:\/\/www.math.indiana.edu\/people\/profile.phtml?id=cjudge\"> Chris Judge <\/a><br \/>\n<span style=\"color: #cc7e2b\">Trans. A.M.S. <\/span>, vol. 362, no 12, 6231&#8211;6259, (2010).<\/li>\n<li><strong>Eigenvalue variations and semiclassical concentration,&nbsp;<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/HilProcCRM.pdf\">pdf<\/a><br \/>\n<span style=\"color: #cc7e2b\">CRM Proc. lecture notes <\/span>, vol. 52, p. 75-87, (2010).<\/li>\n<li><strong>Spectral simplicity and asymptotic separation of variables,&nbsp;<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/HJCMP.pdf\">pdf<\/a><br \/>\nEn collaboration avec <a href=\"http:\/\/mypage.iu.edu\/~cjudge\"> Chris Judge <\/a><br \/>\n<span style=\"color: #cc7e2b\">Comm. Math. Phys. <\/span>, 302 (2), 291-344, (2011). <a href=\"impdf\/erratum_vf.pdf \"> Erratum&nbsp;<\/a>311 (3), 839-842, (2012)<\/li>\n<li><strong>Nonconcentration in partially rectangular billiard,&nbsp;<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/HMNC-newrev.pdf\">pdf<\/a><br \/>\nEn collaboration avec <a href=\"http:\/\/www.unc.edu\/~marzuola\/\"> Jeremy Marzuola <\/a><br \/>\n<span style=\"color: #cc7e2b\">Analysis and P.D.E. <\/span>, 5(4), 831-854, (2012).<\/li>\n<li><strong>Determinant of pseudo-laplacians, <\/strong> <a href=\"impdf\/PseudoLaplacian.pdf\">.pdf<\/a><br \/>\nEn collaboration avec T. Aissiou et A. Kokotov<br \/>\n<span style=\"color: #cc7e2b\">Math. Res. Lett. <\/span>, 19(6), 1297-1308, (2012).<\/li>\n<li><strong>Krein formula and S-matrix for Euclidean surfaces with conical singularities,<\/strong><a href=\"https:\/\/www.idpoisson.fr\/hillairet\/wp-content\/uploads\/sites\/32\/2018\/11\/JGEA_hillairet.pdf\">pdf<\/a><br \/>\nEn collaboration avec A. Kokotov<br \/>\n<span style=\"color: #cc7e2b\">Journal of Geometric Analysis<\/span>, 23(3), 1498-1529, (2013).<\/li>\n<li><strong>Mean exit time for surface-mediated diffusion : spectral analysis and asymptotic behavior, <\/strong><br \/>\nEn collaboration avec O. B\u00e9nichou, D.S. Grebenkov, L. Phun et M. Zinsmeister<br \/>\n<span style=\"color: #cc7e2b\">Anal. Math. Phys.<\/span>, 5(4), 321-362, 2015.<\/li>\n<li><strong>Spectral determinant on Mandelstam diagrams,<\/strong><br \/>\nEn collaboration avec V. Kalvin et A. Kokotov<br \/>\n<span style=\"color: #cc7e2b\">Comm. Math. Phys.<\/span>, 343(2), 563-600, 2016.<\/li>\n<li><strong>Wave propagation on Euclidean surfaces with conical singularities. I : geometric diffraction,<\/strong><br \/>\nEn collaboration avec G.A. Ford et A. Hassell<br \/>\n<span style=\"color: #cc7e2b\">Journ. Spec. Th..<\/span>, 8(2), 605-667, 2018.<\/li>\n<li><strong>Isospectrality, comparison formulas for determinants of Laplacians and flat metrics with non-trivial holonomy,<\/strong><br \/>\nEn collaboration avec A. Kokotov<br \/>\n<span style=\"color: #cc7e2b\">Proc. A.M.S.<\/span>, 145(9):3915-3928, 2017.<\/li>\n<li><strong>Hyperbolic triangles without embedded eigenvalues,<\/strong><br \/>\nEn collaboration avec C. Judge<br \/>\n<span style=\"color: #cc7e2b\">Ann. of Math. (2)<\/span>, 187(2), 301-377, 2018.<\/li>\n<li><strong>Moduli spaces of meromorphic functions and determinant of the Laplacian,<\/strong><br \/>\nEn collaboration avec V. Kalvin et A. Kokotov,<br \/>\n<span style=\"color: #cc7e2b\">Trans. A.M.S.<\/span>, 370(7), 4559-4599, 2018.<\/li>\n<li><strong>Spectral asymptotics dor sub-Riemannian Laplacians I: Quantum ergodicity and quantum limits in the 3D contact case,<\/strong><br \/>\nEn collaboration avec Y. Colin de Verdi\u00e8re et E. Tr\u00e9lat,<br \/>\n<span style=\"color: #cc7e2b\">Duke Math. Journ. <\/span>, 167(1), 109-174, 2018.<\/li>\n<li><strong>Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators,<\/strong><br \/>\nEn collaboration avec L. Abatangelo, V. Felli, et C. L\u00e9na,<br \/>\n<span style=\"color: #cc7e2b\">Journ. Spec. Th.<\/span>,9(2), 379-427, 2019.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Publications Formule de trace semi-classique sur une vari\u00e9t\u00e9 de dimension 3 avec un potentiel Dirac,.pdf C.P.D.E. vol. 27, 9&#038;10, p.1751-1791 &hellip; <a href=\"https:\/\/www.idpoisson.fr\/hillairet\/recherche\/\" class=\"more-link\">Plus <span class=\"screen-reader-text\">Publications<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":40,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"folder":[],"class_list":["post-70","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.idpoisson.fr\/hillairet\/wp-json\/wp\/v2\/pages\/70","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.idpoisson.fr\/hillairet\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.idpoisson.fr\/hillairet\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.idpoisson.fr\/hillairet\/wp-json\/wp\/v2\/users\/40"}],"replies":[{"embeddable":true,"href":"https:\/\/www.idpoisson.fr\/hillairet\/wp-json\/wp\/v2\/comments?post=70"}],"version-history":[{"count":6,"href":"https:\/\/www.idpoisson.fr\/hillairet\/wp-json\/wp\/v2\/pages\/70\/revisions"}],"predecessor-version":[{"id":131,"href":"https:\/\/www.idpoisson.fr\/hillairet\/wp-json\/wp\/v2\/pages\/70\/revisions\/131"}],"wp:attachment":[{"href":"https:\/\/www.idpoisson.fr\/hillairet\/wp-json\/wp\/v2\/media?parent=70"}],"wp:term":[{"taxonomy":"folder","embeddable":true,"href":"https:\/\/www.idpoisson.fr\/hillairet\/wp-json\/wp\/v2\/folder?post=70"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}