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UID:7845@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160405T110000
DTEND;TZID=Europe/Paris:20160405T120000
DTSTAMP:20241120T205550Z
URL:https://www.i2m.univ-amu.fr/evenements/a-new-optimal-transport-distanc
 e-between-nonnegative-radon-measures/
SUMMARY: (...): A new Optimal Transport distance between nonnegative Radon 
 measures
DESCRIPTION:: In this talk I will introduce a new distance between nonnegat
 ive finite Borel measures in $\\mathbb{R}^d$ with arbitrary masses. The di
 stance is constructed by a Lagrangian variational approach (minimization o
 f an action functional)\, which is similar to the celebrated Benamou-Breni
 er formula for the quadratic Kantorovich-Rubinstein-Wasserstein distance b
 etween probability measures. In contrast with the classical theory of opti
 mal transportation for probability measures\, we allow for mass variations
  and do not require decay at infinity. I will present several topological 
 and geometrical properties of the resulting metric space.If time permits I
  will discuss the application to a reaction-diffusion fitness-driven model
  of population dynamics: once suitably interpreted as a gradient flow with
  respect to our metric\, we show that the model satisfies exponential conv
 ergence to the unique steady state with explicit rates.This is joint with 
 D. Vorotnikov and S. Kondratyev (Univ. Coimbra).https://www.math.tecnico.u
 lisboa.pt/~monsaingeon/
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20160327T030000
TZOFFSETFROM:+0100
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