Mathematical Sciences Research Institute

Home » Workshop » Schedules » Hamiltonian ODE and Hamilton-Jacobi PDE with Stochastic Hamiltonian Function

Hamiltonian ODE and Hamilton-Jacobi PDE with Stochastic Hamiltonian Function

Hamiltonian systems, from topology to applications through analysis II November 26, 2018 - November 30, 2018

November 26, 2018 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Fraydoun Rezakhanlou (University of California, Berkeley)
Location: MSRI: Simons Auditorium
  • Hamiton-Jacobi PDE

  • homogenization

  • Stationary Process

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification



In this talk I give an overview on the existing results for two questions associated with a Hamiltonian function that is selected randomly according to a probability measure that is translation invariant (this includes Hamiltonian functions that are almost periodic in position or in both position and momentum) 1. Consider a Hamiltonian ODE with a Hamiltonian function that is periodic in time. As in Arnold's conjecture we may wonder whether or not such an ODE has periodic orbits. 2. Analogously, we may study Hamilton-Jacobi PDEs and examine the question of homogenization that is closely related to the long time behavior of the solutions to the corresponding Hamiltonian ODE.

Asset no preview Notes 781 KB application/pdf Download
Video/Audio Files


H.264 Video 3-Rezakhanlou.mp4 433 MB video/mp4 Download
Troubles with video?

Please report video problems to itsupport@msri.org.

See more of our Streaming videos on our main VMath Videos page.