12 citations · 56 across the 24 of their papers we have counts for
32 papers
Strong invariance principles in deterministic systems
Zemer Kosloff, Dalibor Volny
We show that in every aperiodic, probability preserving dynamical system there is a function whose associated time series satisfies the almost sure invariance principle with rate a…
Alpern Lemma Independent of a Partition for Aperiodic Systems
Nishant Chandgotia, Zemer Kosloff, Shrey Sanadhya
We prove that for every , an aperiodic, probability preserving system and a finite measurable partition of , there exists an Alpern Multitower…
Central Limit Theorems for Finitary Factors of iid Processes
Raimundo Briceño, Zemer Kosloff, Nicolò Paviato
We study statistical limit theorems for time-series generated by multidimensional random fields that are finitary factors of iid random processes. Based on the decay of the tail of…
Asymmetry of -cohomology via skewed Følner geometry
Nachi Avraham-Re'em, Zemer Kosloff
We study the two -Dirichlet structures on a countable group arising from the left and right regular actions on . Although the two regular representati…
Counterexamples to double recurrence for non-commuting deterministic transformations
Zemer Kosloff, Shrey Sanadhya
We show that if are injective, integer polynomials that vanish at the origin, such that either both are of degree or both are of degree or higher, then double rec…
Multidimensional local limit theorem in deterministic systems and an application to non-convergence of polynomial multiple averages
Zemer Kosloff, Shrey Sanadhya
We show that for every ergodic and aperiodic probability preserving system , there exists , whose corresponding cocycle satisfies the -…
Stable Functional CLT for deterministic systems
Zemer Kosloff, Dalibor Volný
We show that alpha stable Lévy motions can be simulated by any ergodic and aperiodic probability preserving transformation. Namely we show: - for and every stable Lévy…
Stable CLT for deterministic systems
Zemer Kosloff, Dalibor Volny
We show that for every ergodic and aperiodic probability preserving transformation and there exists a function whose associated time series is in the standard domain o…
Sinai factors of nonsingular systems: Bernoulli shifts and Anosov flows
Zemer Kosloff, Terry Soo
We show that a totally dissipative system has all nonsingular systems as factors, but that this is no longer true when the factor maps are required to be finitary. In particular, i…
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…
Krieger's type of nonsingular Poisson suspensions and IDPFT systems
Alexandre I. Danilenko, Zemer Kosloff
Given an infinite countable discrete amenable group , we construct explicitly sharply weak mixing nonsingular Poisson -actions of each Krieger's type: , for $λ\in[0,1]…
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…
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…
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…
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…
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…
Ergodicity and type of nonsingular Bernoulli actions
Michael Björklund, Zemer Kosloff, Stefaan Vaes
We determine the Krieger type of nonsingular Bernoulli actions . When is abelian, we do this for arbitrary marginal measures $…
Boundary of the Range of a random walk and the Fölner property
George Deligiannidis, Sebastien Gouezel, Zemer Kosloff
The range process of a random walk is the collection of sites visited by the random walk up to time . In this work we deal with the question of whether the range process o…
Bernoulli actions of amenable groups with weakly mixing Maharam extensions
Michael Björklund, Zemer Kosloff
We provide a simple criterion for a non-singular and conservative Bernouilli action to have a weakly mixing Maharam extension. As an application, we show that every countable amena…
Proving ergodicity via divergence of ergodic sums
Zemer Kosloff
A classical fact in ergodic theory is that ergodicity is equivalent to almost everywhere divergence of ergodic sums of all nonnegative integrable functions which are not identicall…
Martingale-coboundary decomposition for families of dynamical systems
A. Korepanov, Z. Kosloff, I. Melbourne
We prove statistical limit laws for sequences of Birkhoff sums of the type where is a family of nonuniformly hyperbolic transformations. The…
Examples of type inhomogenous Markov shifts supported on topological Markov shifts
Zemer Kosloff
We construct inhomogenous Markov measures for which the shift is of Kreiger type . These measures are fully supported on a toplogical markov shift space of the hyper…
Explicit coupling argument for nonuniformly hyperbolic transformations
A. Korepanov, Z. Kosloff, I. Melbourne
The transfer operator corresponding to a uniformly expanding map enjoys good spectral properties. Here it is verified that coupling yields explicit estimates that depend continuous…
Averaging and rates of averaging for uniform families of deterministic fast-slow skew product systems
A. Korepanov, Z. Kosloff, I. Melbourne
We consider families of fast-slow skew product maps of the form \begin{align*} x_{n+1} = x_n+εa(x_n,y_n,ε), \quad y_{n+1} = T_εy_n, \end{align*} where is a family of nonunifo…