Abstract Experiments investigating particles floating on a randomly stirred fluid show regions of very low density, which are not well understood. We introduce simplified model for understanding sparsely occupied the phase space non-autonomous, chaotic dynamical systems, based upon an extension skinny bakers’ map. how distribution sizes voids in can be mapped to statistics running maximum Wiene...

T h e purpose of the present paper is to study the metric entropy h((j),J\r) of an F-measure preserving transformation relative to a cr-algebra M of an F-dynamical system. Concepts of sufficient families and generators are introduced and a few results are proved. Finally, the entropy of the inverse limit of an inverse spectrum of F-dynamical systems is obtained.