Nombre de documents


Article dans une revue6 documents

  • Luc Hillairet, Alexey Kokotov. Krein formula and S-matrix for Euclidean Surfaces with Conical Singularities. Journal of Geometric Analysis, 2013, 23 (3), pp.1498--1529. <hal-00538368v2>
  • Luc Hillairet, Chris Judge. Spectral simplicity and asymptotic separation of variables. Communications in Mathematical Physics, Springer Verlag, 2011, 302 (2), pp.291--344. <hal-00445680>
  • Luc Hillairet, Chris Judge. The eigenvalues of the Laplacian on domains with small slits. Transactions of the American Mathematical Society, American Mathematical Society, 2010, 362 (12), pp.6231--6259. <hal-00345667>
  • Andrew Hassell, Luc Hillairet. Ergodic billiards that are not quantum unique ergodic. Annals of Mathematics, Princeton University, Department of Mathematics, 2010, 171 (1), pp.605--619. <hal-00345657>
  • Luc Hillairet, Chris Judge. Generic spectral simplicity of polygons. Proceedings of the American Mathematical Society, American Mathematical Society, 2009, 137 (6), pp.2139--2145. <hal-00345668>
  • Andrew Hassell, Luc Hillairet, Jeremy Marzuola. Eigenfunction concentration for polygonal billiards. Communications in Partial Differential Equations, Taylor & Francis, 2009, 34 (4-6), pp.475--485. <hal-00345660>

Communication dans un congrès1 document

  • Luc Hillairet. Eigenvalue variations and semiclassical concentration. Amer. Math. Soc., Providence, RI. Spectrum and dynamics, Apr 2008, Montréal, Canada. 52, pp.75--87, 2010, Spectrum and dynamics. <hal-00438761>

Pré-publication, Document de travail4 documents

  • Luc Hillairet, Victor Kalvin, Alexey Kokotov. Moduli spaces of meromorphic functions and determinant of Laplacian. 43 pages. 2015. <hal-01081344>
  • Luc Hillairet, Victor Kalvin, Alexey Kokotov. Spectral Determinants on Mandelstam Diagrams. 34 pages, 3 figures. 2015. <hal-01081347>
  • Luc Hillairet, Chris Judge. Hyperbolic triangles without embedded eigenvalues. 61 pages, 3 figures. 2015. <hal-01081346>
  • Luc Hillairet. Finite deficiency indices and uniform remainder in Weyl's law. 7 p., references added. 2010. <hal-00445686v2>

Thèse1 document

  • Luc Hillairet. Contribution d'orbites périodiques diffractives à la formule de trace. Mathématiques [math]. Université Joseph-Fourier - Grenoble I, 2002. Français. <tel-00001664>