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Weak KAM theory on metric spaces

Date
Friday, March 24, 2023 15:30 - 16:30
Speaker
Albert Fathi (Georgia Institute of Technology)
Location
Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
DynamIST
Host
Kaloshin Group
Contact
Url

Weak KAM theory originally connected Mather theory of Lagrangian Systems with Viscosity Theory of the solutions of the corresponding hamilton-Jacobi Equation.

We will show that we can recover just from the Ma potential concepts like Peierls barrier, Aubry sets, viscosity subsolutions and solutions. This allows the theory to apply in the more general framework of compact metric spaces.


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