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Description: |
Schroedinger’s hot gas experiment aimed for determining the most likely evolution between two subsequent observations of a cloud of particles. Seemingly purely stochastic, this problem can be translated into a geometric language. Given a fixed functional on a Riemannian manifold, one can classically construct two canonical evolutionary processes: the associated gradient flow (a dissipative system) and Newton's equation (a Hamiltonian system). The Schroedinger problem can be viewed as a third "sibling" in this geometric family. We will discuss how to generalize this geometric problem to a more general metric space framework. Our outlook is inspired by the links between the Schroedinger problem and the Monge-Kantorovich optimal transport.
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Date: |
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Speaker: |
Dmitry Vorotnikov (CMUC, Univ. Coimbra)
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Institution: |
CMUC, University of Coimbra
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Place: |
Room 2.4
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See more:
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<Main>
<UC|UP MATH PhD Program>
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