Cover Image

Generic continuous Lebesgue measure-preserving interval maps are nowhere monotone but invertible a.e

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bobok, Jozef, Činč, Jernej, Oprocha, Piotr, Troubetzkoy, Serge
Format:	Preprint
Published:	2024
Subjects:	Dynamical Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On Lebesgue measure preserving Besicovitch functions
by: Bobok, Jozef, et al.
Published: (2026)

Interval maps with dense periodicity
by: Bobok, Jozef, et al.
Published: (2024)

Beyond $0$ and $\infty$: A solution to the Barge Entropy Conjecture
by: Boroński, Jan P., et al.
Published: (2021)

On zero entropy homeomorphisms of the pseudo-arc
by: Činč, Jernej
Published: (2024)

Ergodic measures with infinite entropy
by: Catsigeras, Eleonora, et al.
Published: (2019)

Piecewise continuous and monotonic maps on the interval
by: Cunha, Kleyber, et al.
Published: (2024)

Metric mean dimension of irregular sets for maps with shadowing
by: Foryś-Krawiec, Magdalena, et al.
Published: (2022)

On entropy of pure mixing maps on dendrites
by: Kwietniak, Dominik, et al.
Published: (2025)

Cantor subsystems on the Gehman dendrite
by: Oprocha, Piotr, et al.
Published: (2024)

On limit sets and equicontinuity in the hyperspace of continua in dimension one
by: Jelić, Domagoj, et al.
Published: (2026)

Renormalization in Lorenz maps -- completely invariant sets and periodic orbits
by: Cholewa, Łukasz, et al.
Published: (2021)

Dynamics on fences
by: Činč, Jernej, et al.
Published: (2026)

On recurrence and entropy in hyperspace of continua in dimension one
by: Jelić, Domagoj, et al.
Published: (2025)

Hölder continuous maps on the interval with positive metric mean dimension
by: Acevedo, Jeovanny M., et al.
Published: (2022)

The shadowing property for piecewise monotone interval maps
by: Bura, Adarsh, et al.
Published: (2025)

Short-range and long-range order: a transition in block-gluing behavior in Hom shifts
by: Gangloff, Silvere, et al.
Published: (2022)

Topological structure and entropy of mixing graph maps
by: Harańczyk, Grzegorz, et al.
Published: (2011)

Characterizations of ω-Limit Sets of Topologically Hyperbolic Systems
by: Barwell, Andrew, et al.
Published: (2011)

Local Shadowing and Entropy for Homeomorphisms
by: Oprocha, Piotr, et al.
Published: (2025)

Complexity for billiards in regular N-gons
by: Athreya, Jayadev, et al.
Published: (2025)

Hamiltonian systems and monotone twist mappings for braids
by: Kajihara, Yuika, et al.
Published: (2025)

Continuum-wise hyperbolicity and periodic points
by: Carvalho, Bernardo, et al.
Published: (2025)

Symbolic dynamics for certain non-invertible $C^{1+β}$ maps
by: Xun, Jing, et al.
Published: (2026)

Every nondegenerate Peano continuum admits a pure mixing selfmap
by: Karasova, Klara, et al.
Published: (2025)

An ergodic Lebesgue differentiation theorem
by: Young, Aidan
Published: (2025)

Unifying topological entropy notions for piecewise continuous maps on the interval
by: Calderón, A. E., et al.
Published: (2024)

Kato's chaos of multiple mappings and its continuous self-maps
by: Zhao, Yingcui
Published: (2024)

Spectrum of invariant measures via generic points
by: Babel, Sejal, et al.
Published: (2025)

Uniform positivity of the Lyapunov exponent for $C^1$ monotone potentials generated by the cat map
by: Chiem, Nicholas
Published: (2025)

Multiplier rigidity for complex Hénon maps
by: Cantat, Serge, et al.
Published: (2026)

Monotone twist maps and Dowker-type theorems
by: Albers, Peter, et al.
Published: (2023)

Continuum pairwise disjoint automorphisms with Lebesgue spectrum
by: Ryzhikov, Valery V.
Published: (2025)

The Lebesgue measure of boundaries of multigeometric Cantorvals
by: Nowakowski, Piotr, et al.
Published: (2025)

Tranched graphs: consequences for topology and dynamics
by: Kowalewski, Michał, et al.
Published: (2024)

Observable Dynamics and the Generic Coincidence of Milnor, Statistical, and Physical Attractors
by: Foryś-Krawiec, Magdalena, et al.
Published: (2025)

Hyperbolic absolutely continuous invariant measures for C^r one-dimensional maps
by: Delplanque, Alexandre
Published: (2024)

Generic density of periodic orbits of area-preserving maps on punctured surfaces
by: Zhou, Shaoyang
Published: (2024)

Inducing countable Lebesgue spectrum
by: Abdedou, Fatna, et al.
Published: (2024)

Entropy Flexibility of Dynamical Systems
by: Arbieto, Alexander, et al.
Published: (2025)

Outer symplectic billiard map at infinity
by: Albers, Peter, et al.
Published: (2025)