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flinn’s conjecture

Ergodic Theory and Dynamical Systems (1)

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A solution to Flinn’s conjecture on weakly expansive flows
Part of
- Dynamical systems with hyperbolic behavior
- Low-dimensional dynamical systems
HIEN MINH HUYNH
Journal:

Ergodic Theory and Dynamical Systems / Volume 41 / Issue 5 / May 2021

Published online by Cambridge University Press:

26 February 2020, pp. 1390-1396

Print publication:

May 2021
- Article
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In L. W. Flinn’s PhD thesis published in 1972, the author conjectured that weakly expansive flows are also expansive flows. In this paper we use the horocycle flow on compact Riemann surfaces of constant negative curvature to show that Flinn’s conjecture is not true.