From the 1 of 5 linked papers with an AI index.
5 papers
The analogue of Belinskaya's theorem for measure-preserving flows
Konstantin Slutsky
The paper proves that two free ergodic measure‑preserving flows with isomorphic L¹ full groups must be the same up to a rescaling of time, extending Belinskaya’s theorem to continu…
A measurable equivariant Weierstrass theorem
Konstantin Slutsky, Mikhail Sodin, Aron Wennman
This paper is a prequel to our recent work, "Equivariant Borel liftings in complex analysis and PDE" (arXiv:2507.12058). While the results presented here were established in that w…
Separating Orbits by Entire Functions
Billy Duckworth, Konstantin Slutsky
We show that for any free probability measure-preserving action of on a standard probability space, there exists a Borel entire function such that the factor m…
Equivariant Borel liftings in complex analysis and PDE
Konstantin Slutsky, Mikhail Sodin, Aron Wennman
We establish Borel equivariant analogues of several classical theorems from complex analysis and PDE. The starting point is an equivariant Weierstrass theorem for entire functions:…
full groups of flows
François Le Maître, Konstantin Slutsky
We introduce the concept of an full group associated with a measure-preserving action of a Polish normed group on a standard probability space. These groups carry…