ERGODIC PROPERTIES OF A CLASS OF SKEW-SYSTEMS OBTAINED BY COUPLING THE TRANSLATION OF THE 1-TORUS WITH ENDOMORPHISM 2X MOD [0, 1]

Authors
SIBONI S
Citation
S. Siboni, ERGODIC PROPERTIES OF A CLASS OF SKEW-SYSTEMS OBTAINED BY COUPLING THE TRANSLATION OF THE 1-TORUS WITH ENDOMORPHISM 2X MOD [0, 1], Nonlinearity, 7(4), 1994, pp. 1133-1141
Citations number
13
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
7
Issue
4
Year of publication
1994
Pages
1133 - 1141
Database
ISI
SICI code
0951-7715(1994)7:4<1133:EPOACO>2.0.ZU;2-Z
Abstract
A class of mappings of the 2-torus T2 onto itself, arising in a model of modulated diffusion is considered. These transformations can be wri tten as a skew-product of the endomorphism x' = 2x mod [0, 1[ on the 1 -torus T1 := [0, 1[ and a translation on T1. Ergodicity and mixing wit h respect to the Haar measure on T2 are rigorously proved for any choi ce of the parameters.