Geometric measure theory of the Brownian path

Lundi 2 décembre 14:00-15:00 - Ábel Farkas - Alfréd Rényi Institute of Mathematics

Résumé : Let ν be a deterministic measure. We wish to find a random measure that solves the equation E(μ)=ν while μ is supported on the Brownian path and is nicely spread so we can use it as a tool for geometric measure theory of the Brownian path. We describe when the problem can be solved and we provide a solution. We outline the possible application of the random measures. The theory is developed for more general random closed sets than the Brownian path.

Lieu : IMO ; salle 3L15.

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