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2 results on '"37A10, 37E35"'

1. Horocycle flow orbits and lattice surface characterizations

Author

Chaika, Jon and Lindsey, Kathryn

Subjects
Mathematics - Dynamical Systems, 37A10, 37E35
Abstract

The orbit closure of any translation surface under the horocycle flow in almost any direction equals its $SL_2(\mathbb{R})$ orbit closure. This result gives rise to new characterizations of lattice surfaces in terms of the hororcycle flow., Comment: 20 pages

Published
2015
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2. Horocycle flow orbits and lattice surface characterizations

Author

Kathryn Lindsey and Jon Chaika

Subjects
Applied Mathematics, General Mathematics, 010102 general mathematics, Geometry, Dynamical Systems (math.DS), 01 natural sciences, Orbit closure, Horocycle, Lattice (order), 0103 physical sciences, Translation surface, FOS: Mathematics, 37A10, 37E35, 010307 mathematical physics, Mathematics - Dynamical Systems, 0101 mathematics, Mathematics
Abstract

The orbit closure of any translation surface under the horocycle flow in almost any direction equals its $SL_2(\mathbb{R})$ orbit closure. This result gives rise to new characterizations of lattice surfaces in terms of the hororcycle flow., Comment: 20 pages

Published
2017

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