3 citations · 3 across the 5 of their papers we have counts for
6 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…
On the relations between Auerbach or almost Auberbach Markushevich systems and Schauder bases
Beata Randrianantoanina, Michał 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…
Monotone rearrangement in averaging classes
Marat Abdrakhmanov, Leonid Slavin, Pavel Zatitskii
We consider a general collection of function classes on the interval defined in terms of certain averages and show that monotone rearrangement does not increase the class c…
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…
Dimension-free estimates for semigroup BMO and
Leonid Slavin, Pavel Zatitskii
Let be either the heat or the Poisson kernel on Let stand either for BMO equipped with the quadratic seminorm or for We…