Twist systems on the interval

Jozef Bobok. "Twist systems on the interval." Fundamenta Mathematicae 175.2 (2002): 97-117. <http://eudml.org/doc/282881>.

@article{JozefBobok2002,
abstract = {Let I be a compact real interval and let f:I → I be continuous. We describe an interval analogy of the irrational circle rotation that occurs as a subsystem of the dynamical system (I,f)-we call it an irrational twist system. Using a coding we show that any irrational twist system is strictly ergodic. We also prove that irrational twist systems exist as subsystems of a large class of systems (I,f) having a cycle of odd period greater than one.},
author = {Jozef Bobok},
journal = {Fundamenta Mathematicae},
keywords = {interval map; twist system; invariant measure},
language = {eng},
number = {2},
pages = {97-117},
title = {Twist systems on the interval},
url = {http://eudml.org/doc/282881},
volume = {175},
year = {2002},
}

TY - JOUR
AU - Jozef Bobok
TI - Twist systems on the interval
JO - Fundamenta Mathematicae
PY - 2002
VL - 175
IS - 2
SP - 97
EP - 117
AB - Let I be a compact real interval and let f:I → I be continuous. We describe an interval analogy of the irrational circle rotation that occurs as a subsystem of the dynamical system (I,f)-we call it an irrational twist system. Using a coding we show that any irrational twist system is strictly ergodic. We also prove that irrational twist systems exist as subsystems of a large class of systems (I,f) having a cycle of odd period greater than one.
LA - eng
KW - interval map; twist system; invariant measure
UR - http://eudml.org/doc/282881
ER -