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pro vyhledávání: '"Činč, Jernej"'
Autor:
Činč, Jernej
In this paper we study interval maps $f$ with zero topological entropy that are crooked; i.e. whose inverse limit with $f$ as the single bonding map is the pseudo-arc. We show that there are uncountably many pairwise non-conjugate zero entropy crooke
Externí odkaz:
http://arxiv.org/abs/2405.20533
We consider continuous maps of the interval which preserve the Lebesgue measure. Except for the identity map or $1 - \id$ all such maps have topological entropy at least $\log2/2$ and generically they have infinite topological entropy. In this articl
Externí odkaz:
http://arxiv.org/abs/2405.09917
We consider the class of interval maps with dense set of periodic points CP and its closure Cl(CP) equipped with the metric of uniform convergence. Besides studying basic topological properties and density results in the spaces CP and Cl(CP) we prove
Externí odkaz:
http://arxiv.org/abs/2402.05638
Autor:
Činč, Jernej, Oprocha, Piotr
In this paper we construct a paramaterized family of annular homeomorphisms with Birkhoff-like rotational attractors that vary continuously with the parameter, are all homeomorphic to the pseudo-circle, display interesting boundary dynamics and furth
Externí odkaz:
http://arxiv.org/abs/2305.06467
We survey the current state-of-the-art about the dynamical behavior of continuous Lebesgue measure-preserving maps on one-dimensional manifolds.
Externí odkaz:
http://arxiv.org/abs/2303.17873
In this paper we provide a detailed topological and measure-theoretic study of Lebesgue measure-preserving circle maps that are rotated with inner and outer rotations which are independent of each other. In particular, we analyze the stability of the
Externí odkaz:
http://arxiv.org/abs/2207.07186
Autor:
Činč, Jernej, Troubetzkoy, Serge
We show that the topological entropy of the billiard map in a Bunimovich stadium is at most log(3.49066).
Comment: Final version, to appear in JSP
Comment: Final version, to appear in JSP
Externí odkaz:
http://arxiv.org/abs/2203.15344
Autor:
Činč, Jernej, Oprocha, Piotr
Publikováno v:
In Journal of Differential Equations 25 October 2024 407:102-132
Autor:
Činč, Jernej, Oprocha, Piotr
The main goal of this paper is to study topological and measure-theoretic properties of an intriguing family of strange planar attractors. Building towards these results, we first show that any generic Lebesgue measure preserving map $f$ generates th
Externí odkaz:
http://arxiv.org/abs/2107.10347
In this paper we show that generic continuous Lebesgue measure preserving circle maps have the s-limit shadowing property. In addition we obtain that s-limit shadowing is a generic property also for continuous circle maps. In particular, this implies
Externí odkaz:
http://arxiv.org/abs/2104.03999