Asymptotic windings over the trefoil knot

DOI10.4171/RMI/434zbMath1115.58029MaRDI QIDQ2493573

Jacques Franchi

Publication date: 21 June 2006

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41949

zbMATH Keywords

Brownian motiongeodesic flowergodic measuresasymptotic lawsharmonic formstrefoil knotquasi-hyperbolic manifold

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Geodesics in global differential geometry (53C22) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (2)

Curvature diffusions in general relativity ⋮ Linking numbers of modular knots

Cites Work

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• Asymptotic singular windings of ergodic diffusions
• The space of closed subgroups of \(\mathbb{R}^2\)
• The central limit theorem for the geodesic flow on noncompact manifolds of constant negative curvature
• Statistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature
• Asymptotic Singular Homology of a Complete Hyperbolic 3-Manifold of Finite Volume
• Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions
• Ergodic theory and the geodesic flow on surfaces of constant negative curvature
• Introduction to Algebraic K-Theory. (AM-72)
• Stable windings on hyperbolic surfaces.
• Central limit theorem for the geodesic flow associated with a Kleinian group, case \(\delta>d/2\)

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