Full realization of ergodic IRS entropy in SL2(Z) and free groups

Liran Ron-George; Ariel Yadin

doi:10.48550/arXiv.2106.10172

Full realization of ergodic IRS entropy in SL2(Z) and free groups

Liran Ron-George
, Ariel Yadin

Department of Mathematics

Research output: Working paper/Preprint › Preprint

43 Downloads (Pure)

Abstract

We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n ≥ 3, where only the trivial entropy values can be realized by ergodic IRSs.

Original language	English
DOIs	https://doi.org/10.48550/arXiv.2106.10172
State	Published - 18 Jun 2021

Keywords

Mathematics - Dynamical Systems
Mathematics - Group Theory
Mathematics - Probability
37A40
37A15
37A50
60G10

Access to Document

10.48550/arXiv.2106.10172

Cite this

@techreport{7d4ad70ac6a343b6a4be7a2433c2591a,

title = "Full realization of ergodic IRS entropy in SL2(Z) and free groups",

abstract = "We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n ≥ 3, where only the trivial entropy values can be realized by ergodic IRSs.",

keywords = "Mathematics - Dynamical Systems, Mathematics - Group Theory, Mathematics - Probability, 37A40, 37A15, 37A50, 60G10",

author = "Liran Ron-George and Ariel Yadin",

year = "2021",

month = jun,

day = "18",

doi = "10.48550/arXiv.2106.10172",

language = "English",

type = "WorkingPaper",

}

TY - UNPB

T1 - Full realization of ergodic IRS entropy in SL2(Z) and free groups

AU - Ron-George, Liran

AU - Yadin, Ariel

PY - 2021/6/18

Y1 - 2021/6/18

N2 - We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n ≥ 3, where only the trivial entropy values can be realized by ergodic IRSs.

AB - We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n ≥ 3, where only the trivial entropy values can be realized by ergodic IRSs.

KW - Mathematics - Dynamical Systems

KW - Mathematics - Group Theory

KW - Mathematics - Probability

KW - 37A40

KW - 37A15

KW - 37A50

KW - 60G10

U2 - 10.48550/arXiv.2106.10172

DO - 10.48550/arXiv.2106.10172

M3 - Preprint

BT - Full realization of ergodic IRS entropy in SL2(Z) and free groups

ER -

Full realization of ergodic IRS entropy in SL2(Z) and free groups

Abstract

Keywords

Access to Document

Fingerprint

Cite this