- Series
- CDSNS Colloquium
- Time
- Monday, May 8, 2017 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Xifeng Su – Beijing Normal University
- Organizer
- Rafael de la Llave
We will consider the
Frenkel-Kontorova models and their higher dimensional generalizations
and talk about the corresponding discrete weak KAM theory. The existence
of the discrete weak KAM solutions is related to the additive
eigenvalue problem in
ergodic optimization. In particular, I will show that the discrete weak
KAM solutions converge to the weak KAM solutions of the autonomous
Tonelli Hamilton-Jacobi equations as the time step goes to zero.