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18 February 2025
 
  » arxiv » 1508.0154

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An infinite-dimensional Weak KAM theory via random variables
Diogo Gomes ; Levon Nurbekyan ;
Date 1 Aug 2015
AbstractWe 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.
Source arXiv, 1508.0154
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