24 citations · 26 across the 3 of their papers we have counts for
3 papers
math.DS2022★ 1 cited
Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives
Mariusz Mirek, Tomasz Z. Szarek, James Wright
In this survey we review useful tools that naturally arise in the study of pointwise convergence problems in analysis, ergodic theory and probability. We will pay special attention…
math.CA2014★ 1 cited
Discrete maximal functions in higher dimensions and applications to ergodic theory
Mariusz Mirek, Bartosz Trojan
We establish a higher dimensional counterpart of Bourgain's pointwise ergodic theorem along an arbitrary integer-valued polynomial mapping. We achieve this by proving variational e…
math.PR2012★ 24 cited
Heavy tailed solutions of multivariate smoothing transforms
Dariusz Buraczewski, Ewa Damek, Sebastian Mentemeier +1
Let be a fixed integer and a random element of . We consider solutions of multivariate smoothing transforms, i.e. random variables $R…