Antieigenvalue Analysis, New Applications: Continuum Mechanics, Economics, Number Theory
Karl Gustafson
TL;DR
This paper extends the theory of antieigenvalues to new fields such as continuum mechanics, economics, and number theory, demonstrating its broad applicability across diverse scientific disciplines.
Contribution
It introduces three novel applications of antieigenvalue analysis in continuum mechanics, economics, and number theory, expanding its interdisciplinary relevance.
Findings
Demonstrates applicability of antieigenvalues in continuum mechanics
Shows relevance of antieigenvalues in economic models
Explores connections between antieigenvalues and number theory
Abstract
My recent book Antieigenvalue Analysis, World-Scientific, 2012, presented the theory of antieigenvalues from its inception in 1966 up to 2010, and its applications within those forty-five years to Numerical Analysis, Wavelets, Statistics, Quantum Mechanics, Finance, and Optimization. Here I am able to offer three further areas of application: Continuum Mechanics, Economics, and Number Theory.
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Taxonomy
TopicsTheoretical and Computational Physics · Statistical Mechanics and Entropy · Quantum chaos and dynamical systems