Twisted translation flows and effective weak mixing
DOI10.4171/JEMS/1186zbMath1505.37009arXiv1908.11040OpenAlexW2970179393MaRDI QIDQ2098197
Publication date: 17 November 2022
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.11040
Ergodicity, mixing, rates of mixing (37A25) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Period matrices, variation of Hodge structure; degenerations (32G20) Teichmüller theory for Riemann surfaces (30F60) Flows on surfaces (37E35) Homology with local coefficients, equivariant cohomology (55N25)
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Cites Work
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- The quantitative behaviour of polynomial orbits on nilmanifolds
- Zero Lyapunov exponents and monodromy of the Kontsevich-Zorich cocycle
- Sparse equidistribution problems, period bounds and subconvexity
- A geometric criterion for the nonuniform hyperbolicity of the Kontsevich-Zorich cocycle
- Effective equidistribution of twisted horocycle flows and horocycle maps
- Analytic vectors
- Deviation of ergodic averages for rational polygonal billiards
- The symplectic nature of fundamental groups of surfaces
- Ergodicity of billiard flows and quadratic differentials
- Interval exchange transformations and some special flows are not mixing
- Gauss measures for transformations on the space of interval exchange maps
- Interval exchange transformations and measured foliations
- Hausdorff dimension of sets of nonergodic measured foliations
- Solutions of the cohomological equation for area-preserving flows on compact surfaces of higher genus
- Singular continuous spectrum and quantitative rates of weak mixing
- Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
- The Hölder property for the spectrum of translation flows in genus two
- A spectral cocycle for substitution systems and translation flows
- Hölder regularity for the spectrum of translation flows
- Cylinder deformations in orbit closures of translation surfaces
- Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
- On the modulus of continuity for spectral measures in substitution dynamics
- Weak mixing for interval exchange transformations and translation flows
- Uniform Bounds for Period Integrals and Sparse Equidistribution
- The Metric Theory of Interval Exchange Transformations I. Generic Spectral Properties
- Mélange faible topologique des flots sur les surfaces
- Topological weak-mixing of interval exchange maps
- Deviation for interval exchange transformations
- Weak mixing properties of interval exchange transformations and translation flows
- Sobolev regularity of solutions of the cohomological equation
- Mixing Flows on Moduli Spaces of Flat Bundles over Surfaces
- Equidistribution of nilflows and applications to theta sums
- On ergodic averages for parabolic product flows
- Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces
- APPROXIMATIONS IN ERGODIC THEORY
- Weakly Mixing Transformations Which are Not Strongly Mixing
- Weak mixing directions in non-arithmetic Veech surfaces
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