Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 1001-1015 |
| Number of pages | 14 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 22 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2002 |
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Keywords
- ergodic theory
- dynamic systems
- applied mathematics
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Ergodicity and mixing via Young measures. / Artstein, Z.; Grinfeld, M.
In: Ergodic Theory and Dynamical Systems, Vol. 22, No. 4, 2002, p. 1001-1015.Research output: Contribution to journal › Article
TY - JOUR
T1 - Ergodicity and mixing via Young measures
AU - Artstein, Z.
AU - Grinfeld, M.
PY - 2002
Y1 - 2002
N2 - Connections are established between mixing or ergodic properties of maps on the one hand, and the convergence of the iterates of the map, or of the empirical measures of the iterates, to a constant measure-valued map, on the other. The uniqueness of an absolutely continuous ergodic measure can also be verified via the convergence. The technique helps to identify ergodic and mixing pairs and verify the uniqueness in specific examples.
AB - Connections are established between mixing or ergodic properties of maps on the one hand, and the convergence of the iterates of the map, or of the empirical measures of the iterates, to a constant measure-valued map, on the other. The uniqueness of an absolutely continuous ergodic measure can also be verified via the convergence. The technique helps to identify ergodic and mixing pairs and verify the uniqueness in specific examples.
KW - ergodic theory
KW - dynamic systems
KW - applied mathematics
UR - http://dx.doi.org/10.1017/S0143385702000731
U2 - 10.1017/S0143385702000731
DO - 10.1017/S0143385702000731
M3 - Article
VL - 22
SP - 1001
EP - 1015
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
SN - 0143-3857
IS - 4
ER -