Premium
A Skew Product Entropy for Nonsingular Transformations
Author(s) -
Silva Cesar E.,
Thieullen Philippe
Publication year - 1995
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/52.3.497
Subject(s) - skew , invertible matrix , mathematics , automorphism , entropy (arrow of time) , pure mathematics , ternary operation , physics , computer science , thermodynamics , programming language , astronomy
We define a skew product entropy for conservative nonsingular transformations, show that it takes values in {0, ∞} and use it to distinguish two classes on nonsingular transformations. Binary and ternary type III λ odometers have zero skew product entropy, while nonsingular K‐automorphisms have infinite skew product entropy.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom