Rates of mixing for the Weil-Petersson geodesic flow. I: No rapid mixing in non-exceptional moduli spaces

DOI10.1016/j.aim.2016.10.026zbMath1358.30018arXiv1312.6012OpenAlexW2296430343MaRDI QIDQ728231

Carlos Matheus, Keith Burns, Amie Wilkinson, Howard A. Masur

Publication date: 19 December 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6012

zbMATH Keywords

rates of mixingmoduli space of a Riemann surfaceWeil-Petersson geodesic flow

Mathematics Subject Classification ID

Riemann surfaces (30F99)

Related Items

Ruelle-Pollicott resonances for manifolds with hyperbolic cusps ⋮ Cusp excursions of random geodesics in Weil-Petersson type metrics ⋮ Equiboundedness of the Weil-Petersson metric ⋮ Rates of mixing for the Weil-Petersson geodesic flow: exponential mixing in exceptional moduli spaces ⋮ Weil-Petersson geodesics on the modular surface

Cites Work

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• The Weil-Petersson geodesic flow is ergodic
• Rates of mixing for the Weil-Petersson geodesic flow: exponential mixing in exceptional moduli spaces
• Exponential mixing for the Teichmüller flow
• Behavior of geodesic-length functions on Teichmüller space
• Thermodynamics, dimension and the Weil-Petersson metric
• Extension of the Weil-Petersson connection
• On the symplectic geometry of deformations of a hyperbolic surface
• Cocycles, symplectic structures and intersection
• Asymptotics of Weil-Petersson geodesics. I: Ending laminations, recurrence, and flows
• Parabolicity and stochastic completeness of manifolds in terms of the Green formula
• Growth of the number of simple closed geodesics on hyperbolic surfaces
• Essential self adjointness of laplacians on riemannian manifolds with fractal boundary
• Equiboundedness of the Weil-Petersson metric

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