Entropy for actions of free groups under bounded orbit-equivalence

被引：0

作者：

Bowen, Lewis ^{[1
]}

Lin, Yuqing Frank ^{[2
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2024年 / 263卷 / 02期

关键词：

STRONGLY APERIODIC SUBSHIFTS; MALLEABLE ACTIONS; METRIC INVARIANT; SUPERRIGIDITY;

D O I：

10.1007/s11856-024-2642-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The f-invariant is a notion of entropy for probability-measure-preserving actions of free groups. We show it is invariant under bounded orbit-equivalence.

引用

页码：809 / 842

页数：34

共 36 条

[1] Tiling problems on Baumslag-Solitar groups
Aubrun, Nathalie
Kari, Jarkko
[J]. ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2013, (128): : 35 - 46
[2] Behaviour of Entropy Under Bounded and Integrable Orbit Equivalence
Austin, Tim
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 2016, 26 (06) : 1483 - 1525
[3] Belinskaja R M., 1968, FUNCT ANAL APPL, V2, P4
[4] BERGER R, 1966, MEM AM MATH SOC, P1
[5] Superrigidity, measure equivalence, and weak Pinsker entropy
Bowen, Lewis
Tucker-Drob, Robin D.
[J]. GROUPS GEOMETRY AND DYNAMICS, 2022, 16 (01) : 247 - 286
[6] Examples in the entropy theory of countable group actions
Bowen, Lewis
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020, 40 (10) : 2593 - 2680
[7] Orbit equivalence, coinduced actions and free products
Bowen, Lewis
[J]. GROUPS GEOMETRY AND DYNAMICS, 2011, 5 (01) : 1 - 15
[8] Non-abelian free group actions: Markov processes, the Abramov-Rohlin formula and Yuzvinskii's formula
Bowen, Lewis
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2010, 30 : 1629 - 1663
[9] The ergodic theory of free group actions: entropy and the f -invariant
Bowen, Lewis
[J]. GROUPS GEOMETRY AND DYNAMICS, 2010, 4 (03) : 419 - 432
[10] MEASURE CONJUGACY INVARIANTS FOR ACTIONS OF COUNTABLE SOFIC GROUPS
Bowen, Lewis
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 23 (01) : 217 - 245

← 1 2 3 4 →