22 citations · 39 across the 11 of their papers we have counts for
6 papers · 1 filter
What can be the limit in the CLT for a field of martingale differences?
Davide Giraudo, Emmanuel Lesigne, Dalibor Volny
The now classical convergence in distribution theorem for well normalized sums ofstationary martingale increments has been extended to multi-indexed martingaleincrements (see Volný…
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…
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…
On Sums of Indicator Functions in Dynamical Systems
Olivier Durieu, Dalibor Volny
In this paper, we are interested in the limit theorem question for sums of indicator functions. We show that in every aperiodic dynamical system, for every increasing sequence $(a_…
An Indicator Function Limit Theorem in Dynamical Systems
Olivier Durieu, Dalibor Volny
We show by a constructive proof that in all aperiodic dynamical system, for all sequences such that and as $n\t…
A salad of cocycles
Jon. Aaronson, Mariusz Lemanczyk, Dalibor Volny
We study the centraliser of locally compact group extensions of ergodic probability preserving transformations. New methods establishing ergodicity of group extensions are introduc…