An ergodic study of Painlevé VI
From MaRDI portal
Publication:2458827
DOI10.1007/s00208-006-0077-8zbMath1136.34067arXivmath/0604582OpenAlexW1986537763MaRDI QIDQ2458827
Katsunori Iwasaki, Takato Uehara
Publication date: 5 November 2007
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604582
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Ergodic theory (37A99)
Related Items
The space of monodromy data for the Jimbo-Sakai family of \(q\)-difference equations, Lyapunov spectrum of Markov and Euclid trees, Finite branch solutions to Painlevé VI around a fixed singular point, Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation, Periodic points for area-preserving birational maps of surfaces, Bers and Hénon, Painlevé and Schrödinger, Algebraic solutions of the sixth Painlevé equation, Conway topograph, -dynamics and two-valued groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monodromy problem and the boundary condition for some Painlevé equations
- An upper bound for the topological entropy of a rational mapping
- Moduli of stable parabolic connections, Riemann-Hilbert correspondence and geometry of Painlevé equation of type VI. I
- Fuchsian moduli on a Riemann surface --- Its Poisson structure and Poincaré-Lefschetz duality
- Ergodic theory on moduli spaces
- Points périodiques d'applications birationnelles de \({\mathbb P}^2\). (Periodic points for birational mappings of \({\mathbb P}^2\).)
- Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\)
- Rational surfaces associated with affine root systems and geometry of the Painlevé equations
- An area-preserving action of the modular group on cubic surfaces and the Painlevé VI equation
- Monodromy of certain Painlevé-VI transcendents and reflection groups
- A modular group action on cubic surfaces and the monodromy of the Painlevé VI equation.
- Energy and invariant measures for birational surface maps
- Laminar currents and birational dynamics
- Rational solutions of the Painlevé VI equation
- Dynamics of bimeromorphic maps of surfaces
- Dynamics on K3 surfaces: Salem numbers and Siegel disks
- The fifty-two icosahedral solutions to Painlevé VI
- The entropy of polynomial diffeomorphisms of C2
- A LECTURE ON THE OCTAHEDRON
- Deformation of Okamoto–Painlevé pairs and Painlevé equations
- From Klein to Painlevé via Fourier, Laplace and Jimbo
- Grothendieck’s dessins d’enfants, their deformations, and algebraic solutions of the sixth Painlevé and Gauss hypergeometric equations
- Statistical properties of chaotic systems
- Dynamics of automorphisms of \(K3\) surfaces
- On the dynamics of the automorphism group of \(K3\) surfaces
