# Mather measures for space-time periodical nonconvex hamiltonians

## TL;DR

This paper develops a method to construct Mather measures for space-time periodic nonconvex Hamiltonians, expanding the understanding of variational principles in complex dynamical systems.

## Contribution

It introduces a novel approach to construct Mather measures specifically for nonconvex Hamiltonians with space-time periodicity.

## Key findings

- Successfully constructs Mather measures for the specified class of Hamiltonians.
- Provides new insights into the variational structure of nonconvex Hamiltonian systems.
- Extends classical Mather theory to more general, nonconvex settings.

## Abstract

The main goal of this paper is to construct Mather measures for space-time periodical nonconvex Hamiltonians.