5 papers
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 defined by the stochastic recursion , where are i.i.d. random variables taking values in…
On the invariant measure of the random difference equation in the critical case
Sara Brofferio, Dariusz Buraczewski, Ewa Damek
We consider the autoregressive model on defined by the following stochastic recursion , where are i.i.d. random variables valued in $\…
On invariant measures of stochastic recursions in a critical case
Dariusz Buraczewski
We consider an autoregressive model on defined by the recurrence equation , where are i.i.d. random variables valued in $\mathbb{R}…
Maximum boundary regularity of bounded Hua-harmonic functions on tube domains
Aline Bonami, Dariusz Buraczewski, Ewa Damek +2
In this paper we prove that bounded Hua-harmonic functions on tube domains that satisfy some boundary regularity condition are necessarily pluriharmonic. In doing so, we show that…
Hua system and pluriharmonicity for symmetric irreducible Siegel domains of type II
A. Bonami, D. Buraczewski, E. Damek +3
We consider the Johnson-Koranyi-Hua system on symmetric Siegel domains of type two. We prove that all functions which are annihilated by the system and satisfy an H^2 integrability…