Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Colin de Verdière Yves"'
Autor:
Colin de Verdière Yves
Publikováno v:
Advanced Nonlinear Studies, Vol 23, Iss 1, Pp 401-184 (2023)
The goal of this article is to give a new proof of the wave trace formula proved by Richard Melrose in an impressive article. This trace formula is an extension of the Chazarain-Duistermaat-Guillemin trace formula (denoted as “CDG trace formula”
Externí odkaz:
https://doaj.org/article/fd50141fc3bc4e51b2add5d5d84a16ef
Autor:
Berkolaiko, Gregory a, ⁎, Colin de Verdière, Yves b
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 June 2024 534(1)
We consider a closed three-dimensional contact sub-Riemannian manifold. The objective of this note is to provide a precise description of the sub-Riemannian geodesics with large initial momenta: we prove that they "spiral around the Reeb orbits", not
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73771cf50c341fb434510cbc9b9f9d6e
https://hal.archives-ouvertes.fr/hal-03151365/document
https://hal.archives-ouvertes.fr/hal-03151365/document
Autor:
Colin De Verdière, Yves, Vũ Ngoc, San
Publikováno v:
In Annales scientifiques de l'Ecole normale superieure March 2003 36(1):1-55
Autor:
Colin De Verdière, Yves
Publikováno v:
Annales Henri Poincaré
Annales Henri Poincaré, Springer Verlag, 2015, 16 (2), pp.347-364
Annales Henri Poincaré, Springer Verlag, 2015, 16 (2), pp.347-364
In this paper, I describe the weak limits of the measures associated to the eigenfunctions of the Laplacian on a Quantum graph for a generic metric in terms of the Gauss map of the determinant manifold. I describe also all the limits with minimal sup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2795bb60bbf9aaa4c06534435bbc2ea1
https://hal.archives-ouvertes.fr/hal-00907569
https://hal.archives-ouvertes.fr/hal-00907569
A paraitre dans le Bulletin de l'Union des Professeurs de Spéciales; Cet article traite d'un résultat démontré par Niels Henrik Abel, à propos d'un problème de mécanique : la reconstruction de la forme d'un toboggan à partir de la fonction do
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::e12b5716764b52bfb80134927fb94e79
https://hal.archives-ouvertes.fr/hal-00400153
https://hal.archives-ouvertes.fr/hal-00400153
Publikováno v:
Annales Henri Poincaré; May2018, Vol. 19 Issue 5, p1419-1438, 20p
We consider a smooth hyper-surface Z of a closed Riemannian manifold X. Let P be the Poisson operator associating to a smooth function on Z its harmonic extension on X\Z. If A is a pseudo-differential operator on X of degree
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76c3f6fc1bf938d67a36ed2c78be40ee
https://hal.archives-ouvertes.fr/hal-00734597/document
https://hal.archives-ouvertes.fr/hal-00734597/document
We describe the spectral theory of the adjacency operator of a graph which is isomorphic to homogeneous trees at infinity. Using some combinatorics, we reduce the problem to a scattering problem for a finite rank perturbation of the adjacency operato
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d30870b8667360bbab5bf39d01028ac
Autor:
Colin De Verdière, Yves
In this paper we give an exact relation between the Green's function in a scattering problem for a wave equation and the correlation of scattered plane waves. This general relation was proved in a special case by Sanchez-Sesma and al.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36b5023c5f5418095756ffb517be66ce
https://hal.archives-ouvertes.fr/hal-00578746/file/scatt.pdf
https://hal.archives-ouvertes.fr/hal-00578746/file/scatt.pdf