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math-ph2025
Effective Operators in the Theory of Composites: Hilbert Space Framework
Aaron Welters
In this chapter, the Hilbert space framework in the mathematical theory of composite materials is introduced for studying the properties of effective operators. The goal is to intr…
math.OC2025
Kharitonov's Theorem with Degree Drop: a Wronskian Approach
Jason Elsinger, Anthony Stefan, Aaron Welters
In this paper, we present a simplified proof of Kharitonov's Theorem, an important result on determining the Hurwitz stability of interval polynomials. Our new approach to the proo…