4 papers
Rigidity in the planar Ulam floating body problem with perimetral densities under central symmetry
Oleg Asipchuk, Maksim Kosmakov, Pavel Zatitskii
We prove that the only planar, centrally symmetric, strictly convex body with boundary that floats in equilibrium in every orientation for the perimetr…
A two-line representation of stationary measure for open TASEP
Wlodek Bryc, Pavel Zatitskii
We show that the stationary measure for the totally asymmetric simple exclusion process on a segment with open boundaries is given by a marginal of a two-line measure with a simple…
Monotone rearrangement does not increase generalized Campanato norm in VMO
Leonid Slavin, Pavel Zatitskii
We consider a quantitative version of the space VMO on an interval, equipped with a quadratic Campanato-type norm, and prove that monotone rearrangement does not increase the norm…
On the relations between Auerbach or almost Auberbach Markushevich systems and Schauder bases
Beata Randrianantoanina, MichaÅ Wojciechowski, Pavel Zatitskii
We establish that the summability of the series is the necessary and sufficient criterion ensuring that every Markushevich basis in a separa…