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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 dyna...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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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 •
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Jimp - Článek v periodiku v databázi Web of Science
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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 •
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Jimp - Článek v periodiku v databázi Web of Science
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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 •
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Jimp - Článek v periodiku v databázi Web of Science
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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
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Jimp - Článek v periodiku v databázi Web of Science
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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 •
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Jimp - Článek v periodiku v databázi Web of Science
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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 •
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Jimp - Článek v periodiku v databázi Web of Science
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On a Space of Besicovitch Functions
Let C([0,1]) be the set of all continuous functions mapping the unit interval [0,1] into itself, equipped by the metric rho of uniform convergence (and the induced topology tau). A function fin C([0,1]) is called Besicovitch if it h...
BA - Obecná matematika
- 2005 •
- Jx
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Concentration of measure
, groups of measure-preserving automorphisms of Lebesgue space, and AnosovIsoperimetric inequalities imply that, probabilistically, Lipschitz functions on high dimensional geometric structures are approximately con...
Pure mathematics
- 2023 •
- D
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D - Stať ve sborníku
Maximal operator on variable Lebesgue spaces with radial exponent
class of such functions $p(.)$ with no limit which nevertheless preservesConsider general Lebesgue spaces with variable exponent $p(.)$ and the Hardy to guarantee the boundedness of the maximal operator on variable Le...
Pure mathematics
- 2019 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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