Stability estimates for the holonomy inverse problem

DOI10.1080/03605302.2024.2346942MaRDI QIDQ6595125

Thibault Lefeuvre, Mihajlo Cekić

Publication date: 29 August 2024

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (2)

On the ergodicity of the frame flow on even-dimensional manifolds ⋮ On the ergodicity of unitary frame flows on Kähler manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The X-ray transform for connections in negative curvature
• Index computations in Rabinowitz Floer homology
• Upper bound on the density of Ruelle resonances for Anosov flows
• Maps on matrix spaces
• Variations of Dirichlet-to-Neumann map and deformation boundary rigidity of simple 2-manifolds
• Pseudodifferential operators and nonlinear PDE
• Lectures on nonlinear hyperbolic differential equations
• On contact Anosov flows
• Transparent pairs
• The attenuated ray transform for connections and Higgs fields
• Hyperbolic flows
• Resonant spaces for volume-preserving Anosov flows
• Classical and microlocal analysis of the x-ray transform on Anosov manifolds
• Stability of the non-abelian \(X\)-ray transform in dimension \(\ge 3\)
• Transparent connections over negatively curved surfaces
• Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
• Polynomial maps from spheres to spheres
• The inverse problem for the local geodesic ray transform
• A paradifferential approach for hyperbolic dynamical systems and applications
• Dynamical zeta functions for Anosov flows via microlocal analysis
• Fourier Analysis and Nonlinear Partial Differential Equations
• Bäcklund transformations for transparent connections
• Banach spaces adapted to Anosov systems
• Some problems of integral geometry on Anosov manifolds
• Generic injectivity and stability of inverse problems for connections
• Ruelle Perron Frobenius spectrum for Anosov maps
• Generic Dynamical Properties of Connections on Vector Bundles
• The geodesic X-ray transform with matrix weights
• Mathematical Theory of Scattering Resonances
• The Radon Transform and Medical Imaging
• Radial source estimates in Hölder-Zygmund spaces for hyperbolic dynamics
• Riemannian Anosov extension and applications

This page was built for publication: Stability estimates for the holonomy inverse problem