Y. Guivarc'h

most citedConvergence to stable laws for a class of multidimensional stochastic recursions

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.PR2008★ 1 cited

Convergence to stable laws for a class of multidimensional stochastic recursions

Dariusz Buraczewski, Ewa Damek, Yves Guivarc'h

We consider a Markov chain $\{X_n\}_{n=0}^\8$ on $R^{d}$ defined by the stochastic recursion $X_{n} = M_{n} X_{n - 1} + Q_{n}$ , where $(Q_{n}, M_{n})$ are i.i.d. random variables taking values in…

math.DS2004

Semigroup actions on tori and stationary measures on projective spaces

Yves Guivarc'H, Roman Urban

Let $Γ$ be a sub-semigroup of $G = G L (d, R),$ $d > 1.$ We assume that the action of $Γ$ on $R^{d}$ is strongly irreducible and that $Γ$ contains a proximal and expanding element.…