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franks–misiurewicz conjecture

Ergodic Theory and Dynamical Systems (1)

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1 results

Deviations in the Franks–Misiurewicz conjecture
Part of
- Topological dynamics
- Low-dimensional dynamical systems
ALEJANDRO PASSEGGI, MARTÍN SAMBARINO
Journal:

Ergodic Theory and Dynamical Systems / Volume 40 / Issue 9 / September 2020

Published online by Cambridge University Press:

26 February 2019, pp. 2533-2540

Print publication:

September 2020
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We show that if there exists a counter example for the rational case of the Franks–Misiurewicz conjecture, then it must exhibit unbounded deviations in the complementary direction of its rotation set.