From 1-dimensional dynamics to 2-dimensional geometry

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In this talk, we will see a few approaches to obtain surfaces with either hyperbolic structures or singular Euclidean structures from 1-dimensional dynamical systems. A part of the project is related to the Fried’s conjectural characterization of pseudo-Anosov stretching factors. If time permits, we will also briefly mention a statistical answer to an easy version of Fried’s conjecture. This talk is partially based on joint work with J. Alonso-E. Samperton and A. Rafiqi-C. Wu.
Publisher
Vanderbilt University
Issue Date
2017-05-19
Language
English
Citation

Shanks Conference and Lecture: Low-Dimensional Topology and Geometry

URI
http://hdl.handle.net/10203/238554
Appears in Collection
MA-Conference Papers(학술회의논문)
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