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arXiv:1508.00154 [math.DS]AbstractReferencesReviewsResources

An infinite-dimensional Weak KAM theory via random variables

Diogo Gomes, Levon Nurbekyan

Published 2015-08-01Version 1

We develop several aspects of the infinite-dimensional Weak KAM theory using a random variables' approach. We prove that the infinite-dimensional cell problem admits a viscosity solution that is a fixed point of the Lax-Oleinik semigroup. Furthermore, we show the existence of invariant minimizing measures and calibrated curves defined on R.

Categories: math.DS, math.AP
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