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Explore control theory and large deviation principles for partial differential equations in this lecture by Armen Shirikyan from the University of Cergy-Pontoise, France. Delve into topics such as the IID case, Devil to LDP, Contraction Principle, and global fixed points. Examine the main results, rate functions, and examples involving random force and controllability. Gain insights into the application of these principles in the context of mixing and control for PDEs.
Syllabus
Introduction
Level 1 LDP
IID case
Devil to LDP
Contraction Principle
Summary
Main result
Rate function
Global fixed point
Examples
Random force
Controllability
Taught by
ICTP Mathematics