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math.PR2023
On the existence of extreme coherent distributions with no atoms
Stanisław Cichomski, Adam Osękowski
The paper is devoted to the study of extremal points of , the family of all two-variate coherent distributions on . It is well-known that the set $\mathcal{C}…
math.PR2023
Coherent distributions on the square $\unicode{x2013}$ extreme points and asymptotics
Stanisław Cichomski, Adam Osękowski
Let denote the family of all coherent distributions on the unit square , i.e. all those probability measures for which there exists a random vector $(X,Y…
math.PR2016
Stability in Burkholder's differentially subordinate martingales inequalities and applications to Fourier multipliers
Rodrigo Banuelos, Adam Osekowski
We study stability estimates for the almost extremal functions associated with the -bound for the real and imaginary parts of the Beurling-Ahlfors operator. The proof exploits…