Multiple returns for some regular and mixing maps

N. Haydn, E. Lunedei, L. Rossi, G. Turchetti, S. Vaienti
2005 Chaos  
We study the distributions of the number of visits for some noteworthy dynamical systems, considering whether limit laws exist by taking domains that shrink around points of the phase space. It is well known that for highly mixing systems such limit distributions exhibit a Poissonian behaviour. We analyze instead a skew integrable map
doi:10.1063/1.2005507 pmid:16252983 fatcat:fwqebj2xdve4vh3mkeb2mqlxbe