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math.DS2021★ 1 cited
Beyond and : A solution to the Barge Entropy Conjecture
Jan P. Boroński, Jernej Činč, Piotr Oprocha
We prove the entropy conjecture of M. Barge from 1989: for every there exists a pseudo-arc homeomorphism , whose topological entropy is . Until now all pseu…
math.DS2021★ 3 cited
Periodic points and shadowing property for generic Lebesgue measure preserving interval maps
Jernej Činč, Jozef Bobok, Piotr Oprocha +1
We show that for the generic continuous maps of the interval and circle which preserve the Lebesgue measure it holds for each k 1 that the set of periodic points of period k…