7 citations · 7 across the 4 of their papers we have counts for
4 papers
Rigidity in the Planar Ulam Floating Body Problem with perimetral density
Oleg Asipchuk, Maksim Kosmakov, Pavel Zatitskii
We study the two-dimensional Ulam's floating body problem for convex domains with perimetral density . Using the framework of Zindler carousels, we reduce the problem t…
Dynamics of metrics in measure spaces and scaling entropy
A. M. Vershik, G. A. Veprev, P. B. Zatitskii
This survey is dedicated to a new direction in the theory of dynamical systems: the dynamics of metrics in measure spaces and new (catalytic) invariants of transformations with inv…
On a universal Borel adic space
A. Vershik, P. Zatitskii
We prove that the so-called uniadic graph and its adic automorphism are Borel universal, i.e., every aperiodic Borel automorphism is isomorphic to the restriction of this automorph…
Universal adic approximation, invariant measures and scaled entropy
A. M. Vershik, P. B. Zatitskii
We define an infinite graded graph of ordered pairs and a~canonical action of the group (the adic action) and of the infinite sum of groups of order two~$\mathcal{D}=\…