Dear all,
Here is the announcement of the next MAP seminar:
⟶ Thursday 16 January, at 11:30 in Aula Riunioni.
⟶ *Speaker**:* *Federico Vitillaro* (Scuola Normale Superiore)
⟶ *Title**:* *Sharp PDE estimates for random two-dimensional bipartite
matching with power cost function*
⟶ *Abstract**:* We investigate the random bipartite optimal matching
problem on a flat torus in two-dimensions, considering general strictly
convex power costs of the distance. We extend the successful ansatz first
introduced by Caracciolo et al. for the quadratic case, involving a linear
Poisson equation, to a non-linear equation of $q$-Poisson type, allowing
for a more comprehensive analysis of the optimal transport cost. Our
results establish new asymptotic connections between the energy of the
solution to the PDE and the optimal transport cost, providing insights on
their asymptotic behavior. This is based on a joint work with L. Ambrosio
and D. Trevisan.
We remind you that these seminars are addressed to everybody: the first
half of the seminar is dedicated to the introduction of notions and tools
needed in the second half, which is focused on research topics.
See you soon,
The organizers:
Michele Caselli
Francesco Malizia
Jeremy Mirmina
Filippo Paiano
Leonardo Roveri
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