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A functional stable limit theorem for Gibbs-Markov maps. (arXiv:1809.06538v1 [math.DS])
来源于:arXiv
We prove a weak invariance principle in the Skorohod $\mathcal{J}_{1}%
$-topology for ergodic sums of locally (but not necessarily uniformly)
Lipschitz continuous observables in the domain of attraction of a non-Gaussian
stable law under the action of a Gibbs-Markov map, using the classical approach
via finite-dimensional marginals and $\mathcal{J}_{1}$-tightness. 查看全文>>