On unipotent flows in ℋ(1,1)

DOI10.1017/S0143385709000108zbMath1201.37036arXivmath/0702238MaRDI QIDQ3558032

Kevin Wortman, Kariane Calta

Publication date: 29 April 2010

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702238

zbMATH Keywords

ergodic probability measurescompletely periodic surfacestranslation surfaces of genus at least 2uinpotent flows

Mathematics Subject Classification ID

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Homogeneous flows (37A17)

Related Items (8)

Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1) ⋮ Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space ⋮ Erratum to: Billiards in L-shaped tables with barriers ⋮ The horocycle flow on the moduli space of translation surfaces ⋮ Moduli spaces of isoperiodic forms on Riemann surfaces ⋮ Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow ⋮ Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space ⋮ Billiards in L-shaped tables with barriers

Cites Work

• Unnamed Item
• Raghunathan's topological conjecture and distributions of unipotent flows
• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• On measure rigidity of unipotent subgroups of semisimple groups
• On Raghunathan's measure conjecture
• Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
• Raghunathan's conjectures for \(SL(2,{\mathbb{R}{}})\)
• Strict measure rigidity for unipotent subgroups of solvable groups
• Teichmüller geodesics of infinite complexity.
• Dynamics of \(\text{SL}_2(\mathbb R)\) over moduli space in genus two
• Unipotent flows on the space of branched covers of Veech surfaces
• Billiards and Teichmüller curves on Hilbert modular surfaces
• Teichmüller curves in genus two: The decagon and beyond
• Veech surfaces and complete periodicity in genus two

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