Výsledky vyhledávání - "Colin Guillarmou"

First Band of Ruelle Resonances for Contact Anosov Flows in Dimension 3

Publikováno v: Communications in Mathematical Physics
Communications in Mathematical Physics, 2021, 386, pp.1289--1318. ⟨10.1007/s00220-021-04090-2⟩
Communications in Mathematical Physics, Springer Verlag, 2021, 386, pp.1289--1318. ⟨10.1007/s00220-021-04090-2⟩

We show, using semiclassical measures and unstable derivatives, that a smooth vector field X generating a contact Anosov flow on a 3-dimensional manifold $$\mathcal {M}$$ has only finitely many Ruelle resonances in the vertical strips $$\{ s\in \math

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0400eba92fe620a71309e23b1ce411bf
https://doi.org/10.1007/s00220-021-04090-2

Zobrazit plný text záznamu

Plný text ve formátu HTML

CONFORMAL BOOTSTRAP IN LIOUVILLE THEORY

Autor: Colin Guillarmou, Antti Kupiainen, Rémi Rhodes, Vincent Vargas

Publikováno v: Acta Mathematica
Acta Mathematica, In press
HAL

The conformal bootstrap hypothesis is a powerful idea in theoretical physics which has led to spectacular predictions in the context of critical phenomena. It postulates an explicit expression for the correlation functions of a conformal field theory

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58ecfcc37c651ca7e93e4345ef8ea498
https://hal.science/hal-02866510v2/document

Zobrazit plný text záznamu

Scattering rigidity for analytic metrics

Autor: Yannick Guedes Bonthonneau, Colin Guillarmou, Malo Jézéquel

Publikováno v: HAL

For analytic negatively curved Riemannian manifold with analytic strictly convex boundary, we show that the scattering map for the geodesic flow determines the manifold up to isometry. In particular one recovers both the topology and the metric. More

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55221fcc184a1bc80fbe7f86c608bf37

Zobrazit plný text záznamu

High frequency limits for invariant Ruelle densities

Autor: Colin Guillarmou, Tobias Weich, Joachim Hilgert

Publikováno v: Annales Henri Lebesgue
Annales Henri Lebesgue, UFR de Mathématiques-IRMAR, 2021, 4, pp.81-119. ⟨10.5802/ahl.67⟩

We establish an equidistribution result for Ruelle resonant states on compact locally symmetric spaces of rank one. More precisely, we prove that among the first band Ruelle resonances there is a density one subsequence such that the respective produ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7d363c2c33c8ccaecb696b61399964c
https://hal.archives-ouvertes.fr/hal-01827891

Zobrazit plný text záznamu

X-ray Transform and Boundary Rigidity for Asymptotically Hyperbolic Manifolds

Autor: Plamen Stefanov, Gunther Uhlmann, C. Robin Graham, Colin Guillarmou

Publikováno v: Annales de l'Institut Fourier
Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2020, 69 (7), pp.2857-2919. ⟨10.5802/aif.3339⟩

We consider the boundary rigidity problem for asymptotically hyperbolic manifolds. We show injectivity of the X-ray transform in several cases and consider the non-linear inverse problem which consists of recovering a metric from boundary measurement

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c7c14e32d714faaca52cc0d6537b6d3
https://hal.archives-ouvertes.fr/hal-01827901/file/submitted.pdf

Zobrazit plný text záznamu

X-RAY TRANSFORM IN ASYMPTOTICALLY CONIC SPACES

Autor: Leo Tzou, Matti Lassas, Colin Guillarmou

Publikováno v: HAL
International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), In press

In this article, we study the properties of the geodesic X-ray transform for asymptotically Euclidean or conic Riemannian metrics and show injectivity under non-trapping and no conjugate point assumptions. We also define a notion of lens data for suc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75263190027d2546c84e5da74ac78a1e
https://hal.archives-ouvertes.fr/hal-02324540

Zobrazit plný text záznamu

Eigenvalue bounds for non-self-adjoint Schrödinger operators with non-trapping metrics

Autor: Katya Krupchyk, Colin Guillarmou, Andrew Hassell

Publikováno v: Analysis & PDE
Analysis & PDE, 2020, 13 (6), pp.1633-1670. ⟨10.2140/apde.2020.13.1633⟩
Anal. PDE 13, no. 6 (2020), 1633-1670
Analysis & PDE, Mathematical Sciences Publishers, 2020, 13 (6), pp.1633-1670. ⟨10.2140/apde.2020.13.1633⟩

We study eigenvalues of non-self-adjoint Schr\"odinger operators on non-trapping asymptotically conic manifolds of dimension $n\ge 3$. Specifically, we are concerned with the following two types of estimates. The first one deals with Keller type boun

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9fa26479c5385d1d931588c3c62c27c3
https://hal.archives-ouvertes.fr/hal-01827896/file/1709.09759.pdf

Zobrazit plný text záznamu

Fried conjecture in small dimensions

Autor: Gabriel Rivière, Shu Shen, Colin Guillarmou, Nguyen Viet Dang

Publikováno v: Inventiones Mathematicae
Inventiones Mathematicae, Springer Verlag, 2020, 220, pp.525-579
Inventiones Mathematicae, 2020, 220, pp.525-579. ⟨10.1007/s00222-019-00935-9⟩
HAL
Inventiones mathematicae
Inventiones Mathematicae, Springer Verlag, 2020, 220, pp.525-579. ⟨10.1007/s00222-019-00935-9⟩

We study the twisted Ruelle zeta function $\zeta_X(s)$ for smooth Anosov vector fields $X$ acting on flat vector bundles over smooth compact manifolds. In dimension $3$, we prove Fried conjecture, relating Reidemeister torsion and $\zeta_X(0)$. In hi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d701a3b6b00b5a950250ec86346c27ad
https://hal.archives-ouvertes.fr/hal-01828967/document

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání