Mariusz Mirek

activity

20092026

most citedA bootstrapping approach to jump inequalities and their applications

29 citations · 181 across the 37 of their papers we have counts for

collaborators

Showing 2011 · math.PRShow all

2 papers · 2 filters

math.PR2011

On fixed points of a generalized multidimensional affine recursion

Mariusz Mirek

Let $G$ be a multiplicative subsemigroup of the general linear group $\Gl(\mathbb{R}^d)$ which consists of matrices with positive entries such that every column and every row conta…

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 $(M_{n}, Q_{n})_{n \geq 1}$ of i.i.d.\ random variables with generic copy $(M, Q) \in G L (d, R) \times R^{d}$ , we consider the random difference equation (RDE) $$ R_{n}…