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This paper is on $\Gamma$-convergence for degenerate integral functionalsrelated to homogenisation problems in the Heisenberg group. Here both therescaling and the notion of invariance or periodicity are chosen in a waymotivated by the geometry of the Heisenberg group. Without using specialgeometric features, these functionals would be neither coercive nor periodic,so classic results do not apply. All the results apply to the more general caseof Carnot groups.

$\Gamma$- convergence and homogenisation for a class of degenerate functionals