On the completely irregular set of maps with the shadowing property

Special maps on metric spaces (54E40) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

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On entropy of dynamical systems with almost specification
Shadowing, entropy and minimal subsystems
Conceptions of topological transitivity
Ergodic properties of systems with asymptotic average shadowing property
Topological pressure for the completely irregular set of Birkhoff averages
Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
Implications of pseudo-orbit tracing property for continuous maps on compacta
The almost weak specification property for ergodic group automorphisms of Abelian groups
Interval maps, factors of maps, and chaos
Ergodic theory on compact spaces
Various shadowing properties for positively expansive maps
Shadowing is generic
Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces
Ergodic theory of generic continuous maps
Chaotic homeomorphisms are generic
Equicontinuity, transitivity and sensitivity: the Auslander-Yorke dichotomy revisited
Shadowing property, weak mixing and regular recurrence
A panorama of specification-like properties and their consequences
Irregular sets, the \(\beta\)-transformation and the almost specification property
On the existence of open and bi-continuing codes
Exploring the asymptotic average shadowing property
On density of ergodic measures and generic points
On the genericity of the shadowing property for conservative homeomorphisms
On the irregular points for systems with the shadowing property
Properties of invariant measures in dynamical systems with the shadowing property
On various definitions of shadowing with average error in tracing
Representations for real numbers and their ergodic properties
Foundations of Ergodic Theory
On the weaker forms of the specification property and their applications
Periodic Points of Positively Expansive Maps
On Devaney's Definition of Chaos
On the set of points with a dense orbit
The structure of pointwise recurrent maps having the pseudo orbit tracing property
Analogues of Auslander–Yorke theorems for multi-sensitivity
Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts
On Dynamical Systems With the Specification Property
On the topological entropy of saturated sets
Transitively-saturated property, Banach recurrence and Lyapunov regularity
On almost specification and average shadowing properties
An Improved Closing Lemma and a General Density Theorem
Periodic Points and Measures for Axiom a Diffeomorphisms
Topological transitivity and ergodic measures
Constructions of strictly ergodic systems
Ergodic average of typical orbits and typical functions
Sensitivity and historic behavior for continuous maps on Baire metric spaces

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