PIMS Network Wide Colloquium: Wilfrid Gangbo

  • Date: 01/25/2024
  • Time: 01:30
Lecturer(s):
Wilfrid Gangbo (UCLA)
Location: 

Online

Topic: 

Hamilton-Jacobi equations on the Wasserstein space on graphs.

Description: 

We consider metric tensors on undirected weighted graphs G, which allows us to treat P(G), the set of probability vectors on G, as a length space. On defines a divergence operator div_\mu(G) for mu in P(G), in such a way that we can use control vectors m to define paths s:[0,T] \to P(G), satisfying the system of ODEs: d\sigma/dt + div_G(m) + \hbar div_\sigma(\nabla_G log \sigma)=0. These paths serve as characteristics for Hamilton-Jacobi equations involving graph-individual noise operators. We propose a well posedness theory on P(G). (This talk is based on a joint work with C. Mou and A. Swiech)

Other Information: 

Time:

All network wide colloquia take place at 1:30pm Pacific Time with a few exceptions.

 

Registration

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