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20022013
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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6 papers · 1 filter

math.CA2010★ 1 cited

Models and applications of Optimal Transport in Economics, Traffic and Urban Planning

Filippo Santambrogio

Some optimization or equilibrium problems involving somehow the concept of optimal transport are presented in these notes, mainly devoted to applications to economic and game theor…

math.CA2010★ 7 cited

Introduction to Optimal Transport Theory

Filippo Santambrogio

These notes constitute a sort of Crash Course in Optimal Transport Theory. The different features of the problem of Monge-Kantorovitch are treated, starting from convex duality iss…

math.CA2010

Optimal coupling for mean field limits

François Bolley

We review recent quantitative results on the approximation of mean field diffusion equations by large systems of interacting particles, obtained by optimal coupling methods. These…

math.CA2010

Logarithmic Sobolev inequality for diffusion semigroups

Ivan Gentil

Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincaré or logarithmic Sobole…

math.CA2009

A strategy for non-strictly convex transport costs and the example of ||x-y||p in R2

Guillaume Carlier, Luigi De Pascale, Filippo Santambrogio

This paper deals with the existence of optimal transport maps for some optimal transport problems with a convex but non strictly convex cost. We give a decomposition strategy to ad…

math.CA2006★ 4 cited

Ramification of rough paths

M. Gubinelli

The stack of iterated integrals of a path is embedded in a larger algebraic structure where iterated integrals are indexed by decorated rooted trees and where an extended Chen's mu…