PIMS Network Wide Colloquium: Wilfrid Gangbo

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



Hamilton-Jacobi equations on the Wasserstein space on graphs.


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)

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



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