k-limit laws of return and hitting times
VINCENT CHAUMOÎTRE, Michal Kupsa · Discrete and Continuous Dynamical Systems · 2006
We characterize the setḞ of possible $k$-limit laws of return timeswhich appears to be independent of $k$. We construct a rank-onesystem having all the functions of Ḟ as a$k$-limit law of return times. We exhibit a link between $k$-limitlaws of return and hitting times. We conclude with a discussionover the $n$-uples ($1$-limit law, ..., $n$-limit law) ofreturn times.