IP-systems and Recurrence in Ergodic Theory: an Update

Hillel Furstenberg

doi:10.1007/s11856-022-2435-y

IP-systems and Recurrence in Ergodic Theory: an Update

Hillel Furstenberg

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	423-441
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	251
Issue number	2
DOIs	https://doi.org/10.1007/s11856-022-2435-y
State	Published - Dec 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.

Access to Document

10.1007/s11856-022-2435-y

Cite this

@article{f6e3185ebe7b4f45afc430254ad927b7,

title = "IP-systems and Recurrence in Ergodic Theory: an Update",

abstract = "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.",

author = "Hillel Furstenberg",

note = "Publisher Copyright: {\textcopyright} 2022, The Hebrew University of Jerusalem.",

year = "2022",

month = dec,

doi = "10.1007/s11856-022-2435-y",

language = "אנגלית",

volume = "251",

pages = "423--441",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - IP-systems and Recurrence in Ergodic Theory

T2 - an Update

AU - Furstenberg, Hillel

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

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

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 -

IP-systems and Recurrence in Ergodic Theory: an Update

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this