Titlebook: Topological Dynamics and Topological Data Analysis; IWCTA 2018, Kochi, I Robert L. Devaney,Kit C. Chan,P.B. Vinod Kumar Conference proceedi

Postulate

An Overview of Unimodal Inverse Limit Spaces,An overview of unimodal inverse limit spaces, to support the mini-course “Interval dynamics and Inverse limit spaces”, at ., Rajagiri School of Engineering and Technology, Kochi, December 5–8, 2018.

GOAT

Dimension Theory of Some Non-Markovian Repellers Part II: Dynamically Defined Function Graphs,This is the second part in a series of two papers. Here, we give an overview on the dimension theory of some dynamically defined function graphs, like Takagi and Weierstrass function, and we study the dimension of Markovian fractal interpolation functions and generalized Takagi functions generated by non-Markovian dynamics.

图表证明

,Iterated Function Systems—A Topological Approach. Attractors,Various types of basins, attractors and their fiberings are defined and shortly discussed in the realm of iterated function systems on normal topological spaces.

Basilar-Artery

Zero-Dimensional Covers of Dynamical Systems,In this article, we study the dynamical properties of two-sided zero-dimensional maps. In particular, we show that if . is a two-sided zero-dimensional map on an .-dimensional compactum . with zero-dimensional set .(.) of periodic points, then the map . can be covered by a map on a zero- dimensional compactum via an at most .-to-one map.

引起

On ,-deformations of Polygonal Dendrites,We find the conditions under which the attractor . of a deformation . of a contractible .-polygonal system . in . is a dendrite. The most important one is the parameter matching condition at the points where the images of the vertices of the polygon . meet.

PAEAN

General Position Theorem and Its Applications,We introduce some general and special formulations of general position theorem for parametrized families of fractals and explain the techniques of its application to prove the existence of self-similar sets with prescribed special properties.

珠宝

破裂

Periodic Points of N-Dimensional Toral Automorphisms,In this article, subsets of . that can arise as sets of all periodic points of a continuous .-dimensional toral automorphism are characterized. Here, the torus . is viewed as . (.-times) as a group under coordinate-wise addition modulo 1.

CHIDE

PAGAN

Robert L. Devaney,Kit C. Chan,P.B. Vinod KumarCollects papers on topological dynamical systems and topological data analysis.Discusses topics on general topology, algebraic topology, differential topology, fuzzy topology, topological groups, and