Výsledky vyhledávání - "Viveka Erlandsson"

Akademický článek

Counting geodesics of given commutator length

Publikováno v: Forum of Mathematics, Sigma, Vol 11 (2023)

Let $\Sigma $ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those periodic geodesics in $\Sigma $ having at most length L and which can be written as the product of g commutators. The basic idea is to r

Externí odkaz: https://doaj.org/article/0bcb7bf2f0c94eefbf8e6e0c71bc2364

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Distribution in the unit tangent bundle of the geodesics of given type

Autor: Juan Souto, Viveka Erlandsson

Publikováno v: Ergodic Theory and Dynamical Systems
Ergodic Theory and Dynamical Systems, 2022, ⟨10.1017/etds.2021.166⟩

Recall that two geodesics in a negatively curved surface $S$ are of the same type if their free homotopy classes differ by a homeomorphism of the surface. In this note we study the distribution in the unit tangent bundle of the geodesics of fixed typ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96ac017cd026b722292466d1dffb10f8
https://doi.org/10.1017/etds.2021.166

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You can hear the shape of a billiard table: Symbolic dynamics and rigidity for flat surfaces

Autor: Viveka Erlandsson, Moon Duchin, Chandrika Sadanand, Christopher J. Leininger

Publikováno v: Commentarii Mathematici Helvetici. 96:421-463

We give a complete characterization of the relationship between the shape of a Euclidean polygon and the symbolic dynamics of its billiard flow. We prove that the only pairs of tables that can have the same bounce spectrum are right-angled tables tha

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::413355832c0d51325b255bfdfdc83b78
https://doi.org/10.4171/cmh/516

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Mesures ergodiques invariantes sur l’espace des courants géodésiques

Autor: Viveka Erlandsson, Gabriele Mondello

Publikováno v: Erlandsson, V & Mondello, G 2022, ' Ergodic invariant measure on the space of geodesic currents ', Annales de l'institut Fourier, vol. 72, no. 6, pp. 2449-2513 . https://doi.org/10.5802/aif.3498

Let $S$ be a compact, connected, oriented surface, possibly with boundary, of negative Euler characteristic. In this article we extend Lindenstrauss-Mirzakhani's and Hamenst\"adt's classification of locally finite mapping class group invariant ergodi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9a7addbf59a6f5307e1652402618811
https://hdl.handle.net/10037/28288

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