Topological Dynamics and Topological Data Analysis : IWCTA 2018, Kochi, India, December 9–11 / edited by Robert L. Devaney, Kit C. Chan, P.B. Vinod Kumar.

Format:

Book

Contributor:

Devaney, Robert L., 1948- editor.

Chan, Kit C., editor.

Vinod Kumar, P. B., editor.

Series:

Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 350

Language:

English

Subjects (All):

Dynamics.

Topological groups.

Lie groups.

Topology.

Dynamical Systems.

Topological Groups and Lie Groups.

Local Subjects:

Dynamical Systems.

Topological Groups and Lie Groups.

Topology.

Physical Description:

1 online resource (278 pages)

Edition:

1st ed. 2021.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2021.

Summary:

This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9–11 December 2018. The book discusses topics on topological dynamical systems and topological data analysis. Topics are ranging from general topology, algebraic topology, differential topology, fuzzy topology, topological dynamical systems, topological groups, linear dynamics, dynamics of operator network topology, iterated function systems and applications of topology. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. The book is a valuable resource for researchers, scientists and engineers from both academia and industry.

Contents:

H. Bruin, An Overview of Unimodal Inverse Limit Spaces

B. Barany, M. Rams, K. Simon, Dimension Theory of Some Non Markovian Rapellers Part I: A General Introduction

B. Barany, M. Rams, K. Simon, Dimension Theory of Some Non Markovian Repellers: Part II: Dynamically Defined Function Graphs

K. Lesniak, Iterated Function Systems – A Topological Approach Attractors

H. Kato, Zero Dimensional Covers of Dynamical Systems

H. Kato, Chaotic Continua in Chaotic Dynamical Systems

R. L. Devaney, S. M. Marotta, Mandelpinski Necklaces in the Parameter Planes of Rational Maps

Kit C Chan, Some Examples of Hypercyclic Operators and Universal Sequences of Operators

Kit C Chan, Some Basic Properties of Hypercyclic Operators

Kit C Chan, The Testing Ground of Weighted Shift Operators for Hypercyclicity

D. Drozdov, M. Samuel, A. Tetenov, On -deformations of Polygonal Dendrites

A. Tetenov, K. Kamalutdinov, V. Aseev, General Position Theorems and its Applications

A. Raj P, V.Kumar P B, The nth iterate of a map with dense orbit

Aswathy R K, S. Mathew, Finite Products of Irregular Iterated Function Systems and Their Separation Properties

A. Akbar, Mubeena T, Periodic Points of N-dimensional Toral Automorphisms

S. Jose, V. Kumar P B, Julia Sets in Topological Spaces

K U Sreeja, V. Kumar P B, Ramkumar P B, Julia, Sets of Some Graphs Using Independence Polynomials

P. Frosini, An Introduction to the Notion of Natural Pseudo Distance in Topological Data Analysis

A. Cerri, P. Frosini, A Brief Introduction to Multidimensional Persistent Betti Numbers

N. Quercioli, Some New Methods to Build Group Equivariant Non Expansive Operators in TDA

Y. Dabaghian, Topological Stability of the Hippocampal Spatial Map and Synaptic Transience

A. Jacob, Ramkumar P B, Intuitionistic Fuzzy Graph Morphological Topology

A. G. Pillai, Ramkumar P B, Some Properties of the Bitopological Space Associated with the 3-Uniform Semigraph of Cycle graph

D. Chandran R, Ramkumar P B, Hypergraph Topology.

Notes:

Includes bibliographical references.

ISBN:

981-16-0174-7

OCLC:

1269100478