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Showing 1 to 5 of 5 for “"Pseudo-Anosov"”.
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Minimal pseudo-Anosov translation lengths on the Teichmuller space
Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-04-19T22:53:25Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Tsai_Chia-Yen.zip: 561748 bytes, checksum: 33d4032adf3daa4cabdbd93fb0a9fbf0 (MD5) Tsai_Chia-Yen.pdf: 662625 bytes, …
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Dynamics of free group automorphisms and a subgroup alternative for out(fn)
… result of Thurston which states that pseudo- Anosov mapping classes act on the compactified Teichmüller space with north-south dynamics. We prove that several analogues of pseudo-Anosov mapping classes in the Out(F_N) setting act on the space of projective geodesic currents with …
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Low dilatation pseudo-anosovs on punctured surfaces and volume
For a pseudo-Anosov homeomorphism f on a closed surface of genus g greater of equals to 2, for which the entropy is on the order 1/g (the lowest possible order), Farb-Leininger-Margalit showed that the volume of the mapping torus is bounded, independent of g. We show that the analogous result fails …
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Least dilatation of pure surface braids
… into pieces which are either the identity or pseudo-Anosov. Associated to each of these pseudo-Anosov mapping classes is a unique algebraic number called its dilatation or ``stretch-factor"". In this thesis, we build on work of Penner who introduced the study of the minimal dilatation of …
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The geometry of end-periodic mapping tori
… embedded, (almost) transverse to the pseudo-Anosov flow, with arbitrarily small systole.