Thermodynamic metrics on outer space

DOI10.1017/etds.2021.165OpenAlexW4210426430WikidataQ114118924 ScholiaQ114118924MaRDI QIDQ5889814

No author found.

Publication date: 27 April 2023

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13314

zbMATH Keywords

thermodynamic formalismautomorphisms of free groupsouter spaceWeill-Petersson metric

Mathematics Subject Classification ID

Geometric group theory (20F65) Free nonabelian groups (20E05) Manifolds and cell complexes (57-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Weil-Petersson type metric on spaces of metric graphs
• The pressure metric for Anosov representations
• Pressure type metrics on spaces of metric graphs
• Metric properties of outer space.
• Strongly contracting geodesics in outer space.
• Asymmetry of outer space.
• Thermodynamics, dimension and the Weil-Petersson metric
• On the absence of McShane-type identities for the outer space
• Hausdorff dimension and the Weil-Petersson extension to quasifuchsian space
• Moduli of graphs and automorphisms of free groups
• Thurston's Riemannian metric for Teichmüller space
• The Gromov topology on \({\mathbb{R}}\)-trees
• Noncompleteness of the Weil-Petersson metric for Teichmüller space
• An extremal problem for quasiconformal mappings and a theorem by Thurston
• Hyperbolic extensions of free groups
• Geometry of the complex of curves. I: Hyperbolicity
• Convex cocompact subgroups of mapping class groups
• The Weil-Petersson isometry group
• Automorphisms of free groups and outer space
• Very small group actions on \(\mathbb{R}\)-trees and Dehn twist automorphisms
• Digraphs and cycle polynomials for free-by-cyclic groups
• Deformation spaces of trees.
• Hyperbolicity of the complex of free factors.
• The Patterson-Sullivan embedding and minimal volume entropy for outer space.
• A Bers-like proof of the existence of train tracks for free group automorphisms
• The Weil-Petersson metric geometry
• Group Actions On R-Trees
• Classification of Weil-Petersson isometries
• The largest eigenvalue of a graph: A survey
• Entropy and the clique polynomial
• Incompleteness of the pressure metric on the Teichmüller space of a bordered surface
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms