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Subjects
58-XX Global analysis, analysis on manifolds
58Exx Variational problems in infinite-dimensional spaces
58E10 Applications to the theory of geodesics (problems in one independent variable)

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Path functionals over Wasserstein spaces

Alessio Brancolini, Giuseppe Buttazzo, Filippo Santambrogio (2006)

Journal of the European Mathematical Society

Given a metric space $X$ we consider a general class of functionals which measure the cost of a path in $X$ joining two given points $x_{0}$ and $x_{1}$ , providing abstract existence results for optimal paths. The results are then applied to the case when $X$ is aWasserstein space of probabilities on a given set $Ω$ and the cost of a path depends on the value of classical functionals over measures. Conditions for linking arbitrary extremal measures $μ_{0}$ and $μ_{1}$ by means of finite cost paths are given.

Periodic geodesics generator.

Linnér, Anders (2004)

Experimental Mathematics

Periodic solutions for singular hamiltonian systems and closed geodesics on non-compact riemannian manifolds

Kazunaga Tanaka (2000)

Annales de l'I.H.P. Analyse non linéaire

Currently displaying 1 – 3 of 3

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