TY - JOUR
T1 - Rank-one transformations, odometers, and finite factors
AU - Foreman, Matthew
AU - Gao, Su
AU - Hill, Aaron
AU - Silva, Cesar E.
AU - Weiss, Benjamin
N1 - Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.
PY - 2023/6
Y1 - 2023/6
N2 - In this paper we give explicit characterizations, based on the cutting and spacer parameters, of (a) which rank-one transformations factor onto a given finite cyclic permutation, (b) which rank-one transformations factor onto a given odometer, and (c) which rank-one transformations are isomorphic to a given odometer. These naturally yield characterizations of (d) which rank-one transformations factor onto some (unspecified) finite cyclic permutation, (d′) which rank-one transformations are totally ergodic, (e) which rank-one transformations factor onto some (unspecified) odometer, and (f) which rank-one transformations are isomorphic to some (unspecified) odometer.
AB - In this paper we give explicit characterizations, based on the cutting and spacer parameters, of (a) which rank-one transformations factor onto a given finite cyclic permutation, (b) which rank-one transformations factor onto a given odometer, and (c) which rank-one transformations are isomorphic to a given odometer. These naturally yield characterizations of (d) which rank-one transformations factor onto some (unspecified) finite cyclic permutation, (d′) which rank-one transformations are totally ergodic, (e) which rank-one transformations factor onto some (unspecified) odometer, and (f) which rank-one transformations are isomorphic to some (unspecified) odometer.
UR - http://www.scopus.com/inward/record.url?scp=85144933327&partnerID=8YFLogxK
U2 - 10.1007/s11856-022-2451-y
DO - 10.1007/s11856-022-2451-y
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AN - SCOPUS:85144933327
SN - 0021-2172
VL - 255
SP - 231
EP - 249
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -