activity
20152020
most citedGeneric nonsingular Poisson suspension is of type

3 citations · 3 across the 1 of their papers we have counts for

collaborators

12 papers

math.DS2020

Some factors of nonsingular Bernoulli shifts

Zemer Kosloff, Terry Soo

We give elementary constructions of factors of nonsingular Bernoulli shifts. In particular, we show that all nonsingular Bernoulli shifts on a finite number of symbols which satisf…

math.DS2020

The orbital equivalence of Bernoulli actions and their Sinai factors

Zemer Kosloff, Terry Soo

Given a countable amenable group G and 0 < L < 1, we give an elementary construction of a type-III:L Bernoulli group action. In the case where G is the integers, we show that our n…

math.DS20203 cited

Generic nonsingular Poisson suspension is of type

Alexandre I. Danilenko, Zemer Kosloff, Emmanuel Roy

It is shown that for a dense -subset of the subgroup of nonsingular transformations (of a standard infinite -finite measure space) whose Poisson suspensions are nonsingular…

math.DS2020

Nonsingular Poisson Suspensions

Alexandre I. Danilenko, Zemer Kosloff, Emmanuel Roy

The classical Poisson functor associates to every infinite measure preserving dynamical system a probability preserving dynamical system called the Poisso…

math.DS2019

Local limit theorem in deterministic systems

Zemer Kosloff, Dalibor Volny

We show that for every ergodic and aperiodic probability preserving system, there exists a valued, square integrable function such that the partial sums process of…

math.DS2019

Finitary isomorphisms of Brownian motions

Zemer Kosloff, Terry Soo

Ornstein and Shields (Advances in Math., 10:143-146, 1973) proved that Brownian motion reflected on a bounded region is an infinite entropy Bernoulli flow and thus Ornstein theory…