Quantitative error term in the counting problem on Veech wind-tree models
DOI10.2422/2036-2145.201803_015zbMath1475.37035arXiv1704.07428OpenAlexW2963454803MaRDI QIDQ5003261
Publication date: 21 July 2021
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.07428
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Orbit growth in dynamical systems (37C35) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Nonsingular (and infinite-measure preserving) transformations (37A40) Dynamical systems with singularities (billiards, etc.) (37C83)
Cites Work
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- Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow
- Every flat surface is Birkhoff and Oseledets generic in almost every direction
- Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Local analysis of Selberg's trace formula
- Generalized staircases: recurrence and symmetry
- Non-ergodic \(\mathbb{Z}\)-periodic billiards and infinite translation surfaces
- Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
- Gauss measures for transformations on the space of interval exchange maps
- Interval exchange transformations and measured foliations
- The billiard in a regular polygon
- Topological transitivity of billiards in polygons
- Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants
- Affine mappings of translation surfaces: Geometry and arithmetic
- Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Symplectic and isometric \(\mathrm{SL}(2,\mathbb{R})\)-invariant subbundles of the Hodge bundle
- Counting problem on wind-tree models
- Divergent trajectories in the periodic wind-tree model
- An estimate from above of spectral radii of random walks on surface groups
- Recurrence for the wind-tree model
- Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards
- Translation surfaces and their orbit closures: an introduction for a broad audience
- Prime arithmetic Teichmüller discs in \({\mathcal H}(2)\)
- Teichmüller curves in genus two: Discriminant and spin
- Asymptotic formulas on flat surfaces
- Right-angled billiards and volumes of moduli spaces of quadratic differentials on CP^1
- The bottom of the spectrum of a Riemannian covering.
- The growth rate of trajectories of a quadratic differential
- The Patterson–Sullivan measure and proper conjugation for Kleinian groups of divergence type
- Billiards and Teichmüller curves on Hilbert modular surfaces
- Veech surfaces and complete periodicity in genus two
- Cries and whispers in wind-tree forests
- Diffusion for the periodic wind-tree model
- On the orbit function of discrete groups in negative curvature
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