Length Functions on Currents and Applications to Dynamics and Counting

DOI10.1007/978-3-030-55928-1_11zbMath1485.37037arXiv1803.10801OpenAlexW2795021686MaRDI QIDQ3384102

Caglar Uyanik, Viveka Erlandsson

Publication date: 14 December 2021

Published in: In the Tradition of Thurston (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10801

zbMATH Keywords

currentsmapping class groupTeichmüller spacesgeodesic laminations

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Teichmüller theory for Riemann surfaces (30F60) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34)

Related Items (3)

Subset currents on surfaces ⋮ Counting hyperbolic multigeodesics with respect to the lengths of individual components and asymptotics of Weil-Petersson volumes ⋮ Currents on cusped hyperbolic surfaces and denseness property

Cites Work

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