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Periodic points and shadowing for generic Lebesgue measure-preserving interval maps
Lebesgue measure-preserving circle maps. Furthermore, building on the former results-preserving interval maps whose periodic points have full Lebesgue measure and whose that the generic continuou...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Periodic points and shadowing property for generic Lebesgue measure preserving interval maps
of generic Lebesgue measure-preserving circle maps. Furthermore, building on the former results, we show that there is a dense collection of transitive Lebesgue measure-preserving interval maps w...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Are generic dynamical properties stable under composition with rotations?
In this paper we provide a detailed topological and measure-theoretic study of Lebesgue measure-preserving continuous circle maps that are composed with independent rotations on each of the sides. In particular, we...
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Typical properties of interval maps preserving the Lebesgue measure*
We consider the class of the continuous functions from [0, 1] into itself which preserve the Lebesgue measure. This class endowed with the uniform metric constitutes a complete metric space. We investigate the dynamical pro...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Parametrized family of pseudo-arc attractors: Physical measures and prime end rotations
these results, we first show that any generic Lebesgue measure-preserving map f generates as a parameter. Furthermore, for generic Lebesgue measure-preserving maps f the background Oxtoby–Ulam
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps
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....
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Parameterized family of annular homeomorphisms with pseudo-circle attractors
preserve the induced Lebesgue measure from the circle. Namely, in the constructed we first prove a result of an independent interest, that Lebesgue-measure preserving circle maps generically sati...
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Irreducibility, Infinite Level Sets,and Small Entropy
We investigate continuous piecewise affine interval maps with count-ably many laps that preserve the Lebesgue measure. In particular, we construct such maps having knot points (a point x where Dini's derivatives satisfy D^+...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Integral calculus, Multidimensional Lebesgue integral
Textbook of multidimensional Lebesgue's integration. Construction of the Lebesgue measure, abstract Lebesgue's integral, Change of variables, Fubini's theorem, Fourier series, evaluation of multidime...
Pure mathematics
- 2016 •
- O
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O - Ostatní výsledky
On the Lebesgue Measure of the Expressible Sets of Certain Sequences
The paper gives a condition for the expressible set of a sequence to have Lebesgue measure zero.
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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