Zobrazeno 1 - 10
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pro vyhledávání: '"Bonthonneau, Yannick Guedes"'
Autor:
Bonthonneau, Yannick Guedes
We consider compact Riemannian manifolds whose curvature tensor is pointwise negatively pinched, and improve on the corresponding unstable bunching estimate from Hasselblatt's 1994 paper.
Externí odkaz:
http://arxiv.org/abs/2408.00616
Autor:
Bonthonneau, Yannick Guedes
The purpose of this article is to study operators whose kernel share some key features of Bergman kernels from complex analysis, and are approximate projectors. It turns out that they must be associated with a rich set of geometric data, on the one h
Externí odkaz:
http://arxiv.org/abs/2407.06644
Autor:
Bonthonneau, Yannick Guedes
In a recent paper, Chen, Erchenko and Gogolev have proven that if a Riemannian manifold with boundary has hyperbolic geodesic trapped set, then it can be embedded into a compact manifold whose geodesic flow is Anosov. They have to introduce some assu
Externí odkaz:
http://arxiv.org/abs/2309.11302
We give an analytic description for the infinitesimal generator constructed by Applebaum-Estrade for L\'evy flights on a broad class of closed Riemannian manifolds including all negatively-curved manifolds, the flat torus and the sphere. Various prop
Externí odkaz:
http://arxiv.org/abs/2211.13973
Publikováno v:
Pure Appl. Analysis 6 (2024) 521-540
Dynamical series such as the Ruelle zeta function have become a staple in the study of hyperbolic flows. They are usually analyzed by relating them to the resolvent of the vector field. In this paper we give the general form of such relations, which
Externí odkaz:
http://arxiv.org/abs/2211.08809
Publikováno v:
Cambridge Journal of Mathematics, Vol. 12, No. 1 (2024), pp.165-222
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:
http://arxiv.org/abs/2201.02100
Publikováno v:
Tunisian J. Math. 4 (2022) 673-718
We develop a paradifferential approach for studying non-smooth hyperbolic dynamics and related non-linear PDE from a microlocal point of view. As an application, we describe the microlocal regularity, i.e the $H^s$ wave-front set for all $s$, of the
Externí odkaz:
http://arxiv.org/abs/2103.15397
Given a general Anosov $\mathbb{R}^\kappa$ action on a closed manifold, we study properties of certain invariant measures that have recently been introduced in \cite{BGHW20} using the theory of Ruelle-Taylor resonances. We show that these measures sh
Externí odkaz:
http://arxiv.org/abs/2103.12127
We prove a radial source estimate in H\"older-Zygmund spaces for uniformly hyperbolic dynamics (also known as Anosov flows), in the spirit of Dyatlov-Zworski. The main consequence is a new linear stability estimate for the marked length spectrum rigi
Externí odkaz:
http://arxiv.org/abs/2011.06403
Combining microlocal methods and a cohomological theory developped by J. Taylor, we define for $\mathbb{R}^\kappa$-Anosov actions a notion of joint Ruelle resonance spectrum. We prove that these Ruelle-Taylor resonances fit into a Fredholm theory, ar
Externí odkaz:
http://arxiv.org/abs/2007.14275