Infinite measure preserving flows with infinite ergodic index
Alexandre I. Danilenko; Anton V. Solomko
Colloquium Mathematicae (2009)
- Volume: 115, Issue: 1, page 13-19
- ISSN: 0010-1354
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topAlexandre I. Danilenko, and Anton V. Solomko. "Infinite measure preserving flows with infinite ergodic index." Colloquium Mathematicae 115.1 (2009): 13-19. <http://eudml.org/doc/283834>.
@article{AlexandreI2009,
abstract = {We construct a rank-one infinite measure preserving flow $(T_r)_\{r∈ ℝ\}$ such that for each p > 0, the “diagonal” flow $(T_r × ⋯ × T_r)_\{r∈ ℝ\} (p times)$ on the product space is ergodic.},
author = {Alexandre I. Danilenko, Anton V. Solomko},
journal = {Colloquium Mathematicae},
keywords = {ergodic transformation; infinite measure; measure preserving flow},
language = {eng},
number = {1},
pages = {13-19},
title = {Infinite measure preserving flows with infinite ergodic index},
url = {http://eudml.org/doc/283834},
volume = {115},
year = {2009},
}
TY - JOUR
AU - Alexandre I. Danilenko
AU - Anton V. Solomko
TI - Infinite measure preserving flows with infinite ergodic index
JO - Colloquium Mathematicae
PY - 2009
VL - 115
IS - 1
SP - 13
EP - 19
AB - We construct a rank-one infinite measure preserving flow $(T_r)_{r∈ ℝ}$ such that for each p > 0, the “diagonal” flow $(T_r × ⋯ × T_r)_{r∈ ℝ} (p times)$ on the product space is ergodic.
LA - eng
KW - ergodic transformation; infinite measure; measure preserving flow
UR - http://eudml.org/doc/283834
ER -
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