Correlation of the renormalized Hilbert length for convex projective surfaces
DOI10.1017/etds.2022.56zbMath1527.37038arXiv2010.03718OpenAlexW3092117470WikidataQ114118506 ScholiaQ114118506MaRDI QIDQ6177387
Publication date: 31 August 2023
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.03718
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Projective differential geometry (53A20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The pressure metric for Anosov representations
- Counting closed geodesics in globally hyperbolic maximal compact AdS 3-manifolds
- Patterson-Sullivan measures in higher rank
- Simple root flows for Hitchin representations
- Marked length rigidity for symmetric spaces
- On the Hilbert geometry of simplicial Tits sets
- Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen. II
- Convex real projective structures on compact surfaces
- Flat projective structures on surfaces and cubic holomorphic differentials
- Entropies of strictly convex projective manifolds
- Distribution of periodic orbits of symbolic and axiom A flows
- The geometry of Teichmüller space via geodesic currents
- Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
- Prime orbit theorems with multi-dimensional constraints for Axiom A flows
- Lie groups and Teichmüller space
- The ergodic theory of axiom A flows
- The Manhattan curve and the correlation of length spectra on hyperbolic surfaces
- Rigidity and deformation spaces of strictly convex real projective structures on compact manifolds
- Automorphisms of convex cones
- The correlation of length spectra of two hyperbolic surfaces
- Cyclic Higgs bundles and the affine Toda equations
- Volume entropy of Hilbert metrics and length spectrum of Hitchin representations into \(\mathrm{PSL}(3,\mathbb{R})\)
- Correlations of length spectra for negatively curved manifolds
- Eigenvalues and entropy of a Hitchin representation
- Positively ratioed representations
- Moduli spaces of local systems and higher Teichmüller theory
- Anosov flows, surface groups and curves in projective space
- Quantitative properties of convex representations
- Affine spheres and convex [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /-manifolds]
- An introduction to pressure metrics for higher Teichmüller spaces
- The degeneration of convex ℝℙ2structures on surfaces
- Diffeomorphisms Hölder conjugate to Anosov diffeomorphisms
- Symbolic Dynamics for Smale Flows
- Remarques sur le spectre des longueurs d'une surface et comptages
- Symbolic Dynamics for Hyperbolic Flows
- The marked length spectrum of a projective manifold or orbifold
- Currents, systoles, and compactifications of character varieties
- Hyperconvex representations and exponential growth
- Convex Real Projective Structures on Closed Surfaces are Closed
- SOME SMOOTH ERGODIC SYSTEMS
- Periodic Orbits for Hyperbolic Flows
- Geometry and spectra of compact Riemann surfaces
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- The orbital counting problem for hyperconvex representations
- Hitchin components for orbifolds
This page was built for publication: Correlation of the renormalized Hilbert length for convex projective surfaces