On the countable generator theorem

Michael Keane; Jacek Serafin

Fundamenta Mathematicae (1998)

  • Volume: 157, Issue: 2-3, page 255-259
  • ISSN: 0016-2736

Abstract

top
Let T be a finite entropy, aperiodic automorphism of a nonatomic probability space. We give an elementary proof of the existence of a finite entropy, countable generating partition for T.

How to cite

top

Keane, Michael, and Serafin, Jacek. "On the countable generator theorem." Fundamenta Mathematicae 157.2-3 (1998): 255-259. <http://eudml.org/doc/212290>.

@article{Keane1998,
abstract = {Let T be a finite entropy, aperiodic automorphism of a nonatomic probability space. We give an elementary proof of the existence of a finite entropy, countable generating partition for T.},
author = {Keane, Michael, Serafin, Jacek},
journal = {Fundamenta Mathematicae},
keywords = {entropy; generating partition; automorphism},
language = {eng},
number = {2-3},
pages = {255-259},
title = {On the countable generator theorem},
url = {http://eudml.org/doc/212290},
volume = {157},
year = {1998},
}

TY - JOUR
AU - Keane, Michael
AU - Serafin, Jacek
TI - On the countable generator theorem
JO - Fundamenta Mathematicae
PY - 1998
VL - 157
IS - 2-3
SP - 255
EP - 259
AB - Let T be a finite entropy, aperiodic automorphism of a nonatomic probability space. We give an elementary proof of the existence of a finite entropy, countable generating partition for T.
LA - eng
KW - entropy; generating partition; automorphism
UR - http://eudml.org/doc/212290
ER -

References

top
  1. [Bill] Billingsley, P., Ergodic Theory and Information, Wiley, 1965. Zbl0141.16702
  2. [Pa] Parry, W., Generators and strong generators in ergodic theory, Bull. Amer. Math. Soc. 72 (1966), 294-296. Zbl0144.29802
  3. [Ro] Rokhlin, V., Generators in ergodic theory, II, Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1965, 68-72 (in Russian). 
  4. [Se] Serafin, J., Finitary codes and isomorphisms, Ph.D. Thesis, Technische Universiteit Delft, 1996. Zbl1042.94533
  5. [Wa] Walters, P., An Introduction to Ergodic Theory, Springer, 1982. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.