On spectral properties of a family of transfer operators and convergence to stable laws for affine random walks

By Yves Guivarc'h, E. L. Page. Ergodic Theory and Dynamical Systems, 2008

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Tail-homogeneity of stationary measures for some multidimensional stochastic recursions (2009, background): “In [ GL1 ] and [BDG] convergence of these random variables towards stable laws is shown.”
Dimension theory of iterated function systems (2009, unknown): “[23] and references therein).”
Heavy tail phenomenon and convergence to stable laws for iterated Lipschitz maps (2009, methodology): “The spectral method is based on quasi–compactness of transition operators Pf(x) = E (f(ψ(x))) = ∫ Θ f(ψθ(x))μ(dθ) on appropriate function spaces (see (3; 14; 16; 17)).”
Stable limits for sums of dependent infinite variance random variables (2009, background): “Analogs of of Proposition 4.5 have recently been proved in Guivarc’h and Le Page (30) in the one-dimensional case and in Buraczewski et al. (9), Theorem 1.6, also in the multivariate case.”