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Quasinormal Modes and Ruelle Resonances - A Mathematical Perspective

Harvard CMSA via YouTube

Overview

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Explore a mathematical physics seminar that delves into the fascinating parallels between quasinormal modes in gravitational waves and Ruelle resonances in hyperbolic classical dynamics. Learn how these scattering resonances manifest in correlation expansions and as Green function poles, while understanding their connection to trajectory trapping phenomena. Discover the mathematical perspective that connects these concepts to the zeros of the Riemann zeta function and their relationship to the Laplacian on the modular surface. Examine how different trapping phenomena lead to fractal counting laws for resonances, offering insights into why these resonances are challenging to observe in nature compared to quantum resonances in chemistry or acoustical scattering poles.

Syllabus

Maciej Zworski | Quasinormal modes and Ruelle resonances: mathematician’s perspective

Taught by

Harvard CMSA

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