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Quantitative Global Theory of One-Frequency Quasiperiodic Operators - Part I

Offered By: Centre de recherches mathématiques - CRM via YouTube

Tags

Spectral Theory Courses Quantitative Analysis Courses Mathematical Physics Courses Ergodic Theory Courses

Course Description

Overview

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Explore a comprehensive lecture on the quantitative global theory of one-frequency quasiperiodic operators presented by Lingrui Ge from Peking University. Delve into topics such as general real functions, dynamic approaches, and prototypical models. Examine the epsilon E concept and its role in the quantitative global theory. Discover applications, engage with more quantitative calculations, and understand the subcritical radius and multiplicative equations. Follow the proof and gain insights into this complex mathematical subject. Participate in a question-and-answer session to clarify concepts and deepen your understanding of periodic and ergodic spectral problems.

Syllabus

Introduction
A Brief Review
General Real Functions
Dynamic Approach
Protypical Model
Epsilon E
Quantitative Global Theory
Questions
Full description
Application
More quantitative calculations
Subcritical radius
Multiplicative equations
Proof


Taught by

Centre de recherches mathématiques - CRM

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