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math.PR2011★ 7 cited
On multidimensional Mandelbrot's cascades
Dariusz Buraczewski, Ewa Damek, Yves Guivarc'h +1
Let be a random variable with values in a proper closed convex cone , a random endomorphism of and a random integer. We assume that , ,…
math.PR2011★ 6 cited
Convergence to stable laws for multidimensional stochastic recursions: the case of regular matrices
Ewa Damek, Sebastian Mentemeier, Mariusz Mirek +1
Given a sequence of i.i.d.\ random variables with generic copy , we consider the random difference equation (RDE) $$ R_{n}…