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conjugacy 1ergodic theory 1L1 full groups 1measure-preserving flows 1orbit equivalence 1scalar time change 1

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math.DS2026

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…

math.DS2026

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…

math.DS2025

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:…

math.DS2025

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…