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arXiv · 1508.00154

An infinite-dimensional Weak KAM theory via random variables

Diogo Gomes·Levon Nurbekyan
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Abstract

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.

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Diogo Gomes, Levon Nurbekyan. 2015-08-01. An infinite-dimensional Weak KAM theory via random variables. https://arxiv.org/abs/1508.00154

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