Limiting modular symbols and the Lyapunov spectrum

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dc.creatorMarcolli, Matilde
dc.date2001-11-08
dc.date.accessioned2026-07-07T04:44:27Z
dc.date.available2026-07-07T04:44:27Z
dc.descriptionThis paper consists of variations upon the theme of limiting modular symbols. Topics covered are: an expression of limiting modular symbols as Birkhoff averages on level sets of the Lyapunov exponent of the shift of the continued fraction, a vanishing theorem depending on the spectral properties of a generalized Gauss-Kuzmin operator, the construction of certain non-trivial homology classes associated to non-closed geodesics on modular curves, certain Selberg zeta functions and C^* algebras related to shift invariant sets.
dc.description25 pages LaTeX
dc.identifierhttps://arxiv.org/abs/math/0111093
dc.identifierhttp://arxiv.org/abs/math/0111093
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62595
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject37D35 11M36 10D15 46L89
dc.titleLimiting modular symbols and the Lyapunov spectrum
dc.typetext

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