Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Luc Hillairet"'
Autor:
Luc Hillairet, Jeremy L. Marzuola
Publikováno v:
Asymptotic Analysis. 133:267-289
The aim of this paper is to provide uniform estimates for the eigenvalue spacing of one-dimensional semiclassical Schrödinger operators with singular potentials on the half-line. We introduce a new development of semiclassical measures related to fa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25b3bbd8d293cdb05b44da408558a2aa
https://doi.org/10.3233/asy-221814
https://doi.org/10.3233/asy-221814
Publikováno v:
Annales Henri Lebesgue
Annales Henri Lebesgue, UFR de Mathématiques-IRMAR, 2021, 4, pp.897--971
Annales Henri Lebesgue, 2021, 4, pp.897--971. ⟨10.5802/ahl.93⟩
Annales Henri Lebesgue, UFR de Mathématiques-IRMAR, 2021, 4, pp.897--971
Annales Henri Lebesgue, 2021, 4, pp.897--971. ⟨10.5802/ahl.93⟩
International audience; We establish small-time asymptotic expansions for heat kernels of hypoelliptic Hörmander operators in a neighborhood of the diagonal, generalizing former results obtained in particular by Métivier and by Ben Arous. The coeff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f49f997765fc183a90cbd568aac64ea3
https://doi.org/10.5802/ahl.93
https://doi.org/10.5802/ahl.93
Autor:
Jared Wunsch, Luc Hillairet
Publikováno v:
Annales de l'Institut Fourier
Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2020, 70 (4), pp.1715-1752. ⟨10.5802/aif.3355⟩
Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2020, 70 (4), pp.1715-1752. ⟨10.5802/aif.3355⟩
We describe the resonances closest to the real axis generated by diffraction of waves among cone points on a manifold with Euclidean ends. These resonances lie asymptotically evenly spaced along a curve of the form $$\frac{\Im \lambda}{\log \left |\R
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c2c508fe81a45d228e412a9daf805ac
https://hal.archives-ouvertes.fr/hal-03386338
https://hal.archives-ouvertes.fr/hal-03386338
Publikováno v:
Journal of Spectral Theory
Journal of Spectral Theory, European Mathematical Society, 2019, 9 (2), pp.379-427. ⟨10.4171/JST/251⟩
Journal of Spectral Theory, European Mathematical Society, 2019, 9 (2), pp.379-427. ⟨10.4171/JST/251⟩
We first establish a sharp relation between the order of vanishing of a Dirichlet eigenfunction at a point and the leading term of the asymptotic expansion of the Dirichlet eigenvalue variation, as a removed compact set concentrates at that point. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::362c1129db11fab543089d0175a41946
http://hdl.handle.net/11311/1180557
http://hdl.handle.net/11311/1180557
Wave propagation on Euclidean surfaces surfaces with conical singularities. I: Geometric diffraction
Publikováno v:
Journal of Spectral Theory
Journal of Spectral Theory, European Mathematical Society, 2018, 8 (2), pp.605-667. ⟨10.4171/JST/209⟩
Journal of Spectral Theory, European Mathematical Society, 2018, 8 (2), pp.605-667. ⟨10.4171/JST/209⟩
This research was supported by National Science Foundation Postdoctoral Fellowship DMS1204304 (GAF); Australian Research Council Discovery grants FT0990895, DP1095448 and DP120102019 (AH); and L’Agence Nationale de la Recherche program ANR-13-BS01-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25333fe0df86b641965fa8b81b616f2f
https://hal.archives-ouvertes.fr/hal-03470351
https://hal.archives-ouvertes.fr/hal-03470351
Autor:
Alexey Kokotov, Luc Hillairet
Publikováno v:
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society, American Mathematical Society, 2017, 145 (9), pp.3915-3928. ⟨10.1090/proc/13494⟩
Proceedings of the American Mathematical Society, American Mathematical Society, 2017, 145 (9), pp.3915-3928. ⟨10.1090/proc/13494⟩
We study comparison formulas for ζ \zeta -regularized determinants of self-adjoint extensions of the Laplacian on flat conical surfaces of genus g ≥ 2 g\geq 2 . The cases of trivial and non-trivial holonomy of the metric turn out to differ signifi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5e4315c784807fc4aeca9d0663c83bc
https://hal.archives-ouvertes.fr/hal-03470357
https://hal.archives-ouvertes.fr/hal-03470357
Autor:
Luc Hillairet, Chris Judge
Publikováno v:
Communications in Mathematical Physics. 311:839-842
The statement of Lemma A.3 in [HllJdg11] is false.1 This lemma is used in the proof of Lemma 8.2 which is also incorrect and is used in the proof of Proposition 9.1. Despite this gap, Proposition 9.1 is correct and, in order to rectify the situation,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::01cd62e3deabc73665ec15abac41f639
https://doi.org/10.1007/s00220-012-1467-2
https://doi.org/10.1007/s00220-012-1467-2
Autor:
Luc Hillairet, Alexey Kokotov
Publikováno v:
Journal of Geometric Analysis
Journal of Geometric Analysis, 2013, 23 (3), pp.1498--1529. ⟨10.1007/s12220-012-9295-3⟩
Journal of Geometric Analysis, 2013, 23 (3), pp.1498--1529. ⟨10.1007/s12220-012-9295-3⟩
We use Krein formula and the S-matrix formalism to give formulas for the zeta-regularized determinant of non-Friedrichs extensions of the Laplacian on Euclidean surfaces with Conical Singularities. This formula involves S(0) and we show that the latt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6044ce733bb0a6a691bdba69bc2a3b79
https://doi.org/10.1007/s12220-012-9295-3
https://doi.org/10.1007/s12220-012-9295-3
Publikováno v:
Mathematical Research Letters
Mathematical Research Letters, 2012, 19 (6), pp.1297-1308. ⟨10.4310/MRL.2012.v19.n6.a10⟩
Mathematical Research Letters, 2012, 19 (6), pp.1297-1308. ⟨10.4310/MRL.2012.v19.n6.a10⟩
Let X be a compact Riemannian manifold of dimension two or three and let P be a point of X. We derive comparison formulas relating the zeta-regularized determinant of an arbitrary self-adjoint extension of (symmetric) Laplace operator with domain, co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96358b22c903467805df07956e80b594
https://doi.org/10.4310/mrl.2012.v19.n6.a10
https://doi.org/10.4310/mrl.2012.v19.n6.a10
Autor:
Luc Hillairet
Publikováno v:
Séminaire de théorie spectrale et géométrie. 28:51-62
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2de598262736182678cdfcfcdf34133f
https://doi.org/10.5802/tsg.278
https://doi.org/10.5802/tsg.278