1.

Record Nr.

UNINA9910983299403321

Autore

Chino Naohito

Titolo

Structure and Dynamics of Asymmetric Interactions / / by Naohito Chino

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025

ISBN

9789819782697

9819782694

Edizione

[1st ed. 2025.]

Descrizione fisica

1 online resource (0 pages)

Collana

Mathematics and Statistics Series

Disciplina

519

Soggetti

Statistics

System theory

Control theory

Graph theory

Psychometrics

Applied Statistics

Statistical Theory and Methods

Systems Theory, Control

Graph Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Bird’s-eye view of asymmetric interactions among elements -- Chino’s ASYMSCAL -- GIPSCAL -- HFM -- How to use HFM for asymmetric MDS.

Sommario/riassunto

This book integrates the fundamentals of asymmetric multidimensional scaling, spectral graph theory, graph embedding theory, and various dynamical systems theories, that deal with the static and dynamic aspects of asymmetric phenomena. In this way, it provides a comprehensive introduction to theories and methods for analyzing phenomena observed universally in social, behavioral, economical, geographical, biological, neural, chemical reaction and other networks. The topics addressed in here include the notions of asymmetric similarity matrices, graph spectra, dimension reduction, and difference and differential equations to describe the dynamics of networks, bifurcation of vector fields, Mandelbrot sets, fractals and chaos, and



Hilbert spaces. Illustrated by carefully chosen examples and supported by extensive simulation studies, the book is highly recommended to readers who seek to discover static asymmetric structures among members or nodes. It also appeals to those who want to understand the kinds of dynamics that are theoretically possible in their research domains.