The Sullivan dictionary and Bowen-Series maps
DOI10.4171/emss/70arXiv2302.09827MaRDI QIDQ6152318
Mahan Mitra, Sabyasachi Mukherjee
Publication date: 13 February 2024
Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.09827
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) General geometric structures on low-dimensional manifolds (57M50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Teichmüller theory for Riemann surfaces (30F60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Quasiconformal mappings in the complex plane (30C62) Blaschke products (30J10) Quasiconformal methods in holomorphic dynamics; quasiconformal dynamics (37F31) Fuchsian and Kleinian groups as dynamical systems (37F32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limits of limit sets. I
- The classification of Kleinian surface groups. II: The Ending lamination conjecture
- Thermodynamics, dimension and the Weil-Petersson metric
- Fractal analysis for sets of non-differentiability of Minkowski's question mark function
- The classification of Kleinian surface groups. I: Models and bounds
- Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
- Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
- Group completions and limit sets of Kleinian groups
- Hausdorff dimension of quasi-circles
- Markov maps associated with Fuchsian groups
- The density at infinity of a discrete group of hyperbolic motions
- Symbolic dynamics for geodesic flows
- The limit set of a Fuchsian group
- Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
- Mating quadratic maps with the modular group
- When is a group action determined by its orbit structure?
- Parabolic orbifolds and the dimension of the maximal measure for rational maps
- Real laminations and the topological dynamics of complex polynomials
- On the density of geometrically finite Kleinian groups.
- Dynamics of modular matings
- Bers slices in families of univalent maps
- Mating quadratic maps with the modular group II
- Cannon-Thurston maps for surface groups
- Ending laminations and Cannon-Thurston maps; with an appendix by Shubhabrata Das and Mahan Mj
- Volume entropy for surface groups via Bowen-Series-like maps
- The Hausdorff Dimension of an Ergodic Invariant Measure for a Piecewise Monotonic Map of the Interval
- An invariant measure for rational maps
- On the uniqueness of the maximizing measure for rational maps
- Geometrical Markov coding of geodesics on surfaces of constant negative curvature
- Solutions de l'equation de Beltrami avec ||\mu||_\infty = 1
- Note on a Singular Function of Minkowski
- An example of an amenable action from geometry
- The return sequence of the Bowen–Series map for punctured surfaces
- Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups
- Circle packings, kissing reflection groups and critically fixed anti-rational maps
- Introduction to Dynamical Systems
- CANNON–THURSTON MAPS FOR KLEINIAN GROUPS
- On Some Singular Monotonic Functions Which Are Strictly Increasing
- On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections
- Combining rational maps and Kleinian groups via orbit equivalence
This page was built for publication: The Sullivan dictionary and Bowen-Series maps
