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Structure and Dynamics of Asymmetric Interactions / by Naohito Chino.

Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2025 English International Available online

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Format:
Book
Author/Creator:
Chino, Naohito.
Series:
Mathematics and Statistics Series
Language:
English
Subjects (All):
Statistics.
System theory.
Control theory.
Graph theory.
Psychometrics.
Applied Statistics.
Statistical Theory and Methods.
Systems Theory, Control.
Graph Theory.
Local Subjects:
Applied Statistics.
Statistical Theory and Methods.
Systems Theory, Control.
Graph Theory.
Psychometrics.
Physical Description:
1 online resource (0 pages)
Edition:
1st ed. 2025.
Place of Publication:
Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Summary:
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.
Contents:
Bird’s-eye view of asymmetric interactions among elements
Chino’s ASYMSCAL
GIPSCAL
HFM
How to use HFM for asymmetric MDS.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
9789819782697
9819782694
OCLC:
1492946887

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