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We study in this section the connected compo- nents of bounded and stably bounded systems of linear difference equations with symmetry (II)..

We show that the results given by Hartwig, Li and Wei [22] are preserved when passing from matrices to bounded linear operators on a Banach space... Theorem 2.3 generalizes [22,

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Stochastic fixed point equation, weighted branching process, infinite divisibility, L´evy measure, Choquet-Deny theorem, stable distributions.. AMS 2000

The main step in the proof of Theorem 2.1 is to construct for each bounded C ∞ -domain U containing 0 an auxiliary diffusion with characteristics independent of the environment,

In [2] Aldous considers a tree constructed within the standard Brownian excursion, and shows that after conditioning on the occupation measure of the excursion, the law of the tree

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Keywords: Total variation distance; Non-central limit theorem; Fractional Brownian motion; Hermite power variation; Multiple stochastic integrals; Hermite random