TY - JOUR
T1 - Tied-down occupation times of infinite ergodic transformations
AU - Aaronson, Jon
AU - Sera, Toru
N1 - Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.
PY - 2022/12
Y1 - 2022/12
N2 - We prove distributional limit theorems (conditional and integrated) for the occupation times of certain weakly mixing, pointwise dual ergodic transformations at “tied-down” times immediately after “excursions”. The limiting random variables include the local times of q-stable Lévy-bridges (1 < q ≤ 2) and the transformations involved exhibit “tied-down renewal mixing” properties which refine rational weak mixing. Periodic local limit theorems for Gibbs—Markov and AFU maps are also established.
AB - We prove distributional limit theorems (conditional and integrated) for the occupation times of certain weakly mixing, pointwise dual ergodic transformations at “tied-down” times immediately after “excursions”. The limiting random variables include the local times of q-stable Lévy-bridges (1 < q ≤ 2) and the transformations involved exhibit “tied-down renewal mixing” properties which refine rational weak mixing. Periodic local limit theorems for Gibbs—Markov and AFU maps are also established.
UR - http://www.scopus.com/inward/record.url?scp=85149526809&partnerID=8YFLogxK
U2 - 10.1007/s11856-022-2430-3
DO - 10.1007/s11856-022-2430-3
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85149526809
SN - 0021-2172
VL - 251
SP - 3
EP - 47
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -