## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- Electronic Research Announcements
- Conference Publications
- AIMS Mathematics

DCDS

We prove that a Lattès map admits an always full wandering continuum if and only if it is flexible. The full wandering continuum is a line segment in a bi-infinite or one-side-infinite geodesic under the flat metric.

DCDS

We study the scaling function of a $C^{1+h}$ expanding circle endomorphism. We
find necessary and sufficient conditions for a Hölder continuous function on the dual symbolic
space to be realized as the scaling function of a $C^{1+h}$ expanding circle endomorphism. We
further represent the Teichmüller space of $C^{1+h}$ expanding circle endomorphisms by the
space of Hölder continuous functions on the dual symbolic space satisfying our necessary
and sufficient conditions and study the completion of this Teichmüller space in the universal
Teichmüller space.

DCDS

It is known that for a rational map $f$ with a disconnected Julia
set, the set of wandering Julia components is uncountable. We prove
that all but countably many of them have a simple topology, namely
having one or two complementary components. We show that the
remaining countable subset $\Sigma$ is backward invariant.
Conjecturally $\Sigma$ does not contain an infinite orbit. We give a
very strong necessary condition for $\Sigma$ to contain an infinite
orbit, thus proving the conjecture for many different cases.
We provide also two sufficient conditions for a Julia
component to be a point. Finally we construct several examples
describing different topological structures of Julia components.

## Year of publication

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