36 citations · 47 across the 4 of their papers we have counts for
4 papers
Measure-theoretic chaos (Chaos au sens de la mesure)
Tomasz Downarowicz, Yves Lacroix
We define new isomorphism-invariants for ergodic measure-preserving systems on standard probability spaces, called measure-theoretic chaos and measure-theoretic chaos. These no…
Spontaneous clustering in theoretical and some empirical stationary processes
Tomasz Downarowicz, Yves Lacroix, Didier Léandri
In a stationary ergodic process, clustering is defined as the tendency of events to appear in series of increased frequency separated by longer breaks. Such behavior, contradicting…
Asymptotics for hitting times
M. Kupsa, Y. Lacroix
In this paper we characterize possible asymptotics for hitting times in aperiodic ergodic dynamical systems: asymptotics are proved to be the distribution functions of subprobabili…
Hitting and return times in ergodic dynamical systems
N. Haydn, Y. Lacroix, S. Vaienti
Given an ergodic dynamical system , and measurable with , let denote the normalized hitting time of to . We prove that given…