Survey lecture on billiards
From MaRDI portal
Publication:6200238
DOI10.4171/icm2022/66OpenAlexW4389775028MaRDI QIDQ6200238
Publication date: 22 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/icm2022/66
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Splitting mixed Hodge structures over affine invariant manifolds
- Everything is illuminated
- Pseudo-integrable billiards and arithmetic dynamics
- Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Angular billiard and algebraic Birkhoff conjecture
- Unbounded orbits for semicircular outer billiard
- No planar billiard possesses an open set of quadrilateral trajectories
- Improved estimates for correlations in billiards
- Teichmüller curves, triangle groups, and Lyapunov exponents
- The growth rate for the number of singular and periodic orbits for a polygonal billiard
- Ergodicity of billiard flows and quadratic differentials
- Global stability of a class of discontinuous dual billiards
- Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
- Periodic points of the billiard ball map in a convex domain
- Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
- Note on the periodic points of the billiard
- Hausdorff dimension of the set of nonergodic foliations of a quadratic differential
- The billiard in a regular polygon
- Exponential mixing for the geodesic flow on hyperbolic three-manifolds
- Über die Heckeschen Gruppen \(G(\lambda)\). II
- A Poncelet theorem in space
- On Cayley's explicit solution to Poncelet's porism
- Statistical properties of dynamical systems with some hyperbolicity
- Convex billiards and a theorem by E. Hopf
- Two applications of Jacobi fields to the billiard ball problem
- Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Genericity on curves and applications: pseudo-integrable billiards, Eaton lenses and gap distributions
- Decay of correlations and dispersing billiards.
- Cutting sequences, regular polygons, and the Veech group
- Can the elliptic billiard still surprise us?
- Periodic ellipsoidal billiard trajectories and extremal polynomials
- Recurrence for smooth curves in the moduli space and an application to the billiard flow on nibbled ellipses
- Complexity growth of a typical triangular billiard is weakly exponential
- An expansion estimate for dispersing planar billiards with corner points
- Billiards in nearly isosceles triangles
- Periods of pseudo-integrable billiards
- Cubic curves and totally geodesic subvarieties of moduli space
- Polynomial decay of correlations for flows, including Lorentz gas examples
- Orbifold points on Teichmüller curves and Jacobians with complex multiplication
- Euler characteristics of Teichmüller curves in genus two
- Lower bounds on growth rates of periodic billiard trajectories in some irrational polygons
- Teichmüller curves in genus two: Torsion divisors and ratios of sines
- Teichmüller curves in genus two: Discriminant and spin
- Weak mixing for interval exchange transformations and translation flows
- Periodic billiard paths in right triangles are unstable
- On Periodic Billiard Trajectories in Obtuse Triangles
- Asymptotic formulas on flat surfaces
- The Magic Wand Theorem of A. Eskin and M. Mirzakhani
- Poncelet Porisms and Beyond
- Stable and Random Motions in Dynamical Systems
- The Modular Surface and Continued Fractions
- Obtuse Triangular Billiards I: Near the (2, 3, 6) Triangle
- From rational billiards to dynamics on moduli spaces
- The growth rate of trajectories of a quadratic differential
- Outer Billiards on Kites (AM-171)
- Dual billiards, twist maps and impact oscillators
- Periodic billiard orbits are dense in rational polygons
- Commensurabilities among Lattices in PU (1,n). (AM-132)
- Veech surfaces and complete periodicity in genus two
- Cutting sequences on Bouw-Müller surfaces: an 𝓢-adic characterization
- Grid Graphs and Lattice Surfaces
- Dynamical systems with elastic reflections
- Weak mixing directions in non-arithmetic Veech surfaces
- Unsolved problems in number theory
This page was built for publication: Survey lecture on billiards