TY - JOUR
T1 - IP-systems and Recurrence in Ergodic Theory
T2 - an Update
AU - Furstenberg, Hillel
N1 - Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.
PY - 2022/12
Y1 - 2022/12
N2 - In contemporary dynamical systems theory one studies families of transformations acting on a space, the structure of the family usually that of a group or semigroup. IP-systems of transformations with a more general multiplicative structure provide a natural setting for recurrence and multiple recurrence phenomena. We study these as well as their consequences for number theory and combinatorics.
AB - In contemporary dynamical systems theory one studies families of transformations acting on a space, the structure of the family usually that of a group or semigroup. IP-systems of transformations with a more general multiplicative structure provide a natural setting for recurrence and multiple recurrence phenomena. We study these as well as their consequences for number theory and combinatorics.
UR - http://www.scopus.com/inward/record.url?scp=85145374162&partnerID=8YFLogxK
U2 - 10.1007/s11856-022-2435-y
DO - 10.1007/s11856-022-2435-y
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AN - SCOPUS:85145374162
SN - 0021-2172
VL - 251
SP - 423
EP - 441
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 2
ER -