TY - JOUR
T1 - EQuilibrium States for Center Isometries
AU - Carrasco, Pablo D.
AU - Rodriguez-Hertz, Federico
N1 - Publisher Copyright:
© The Author(s), 2023. Published by Cambridge University Press.
PY - 2024/5/2
Y1 - 2024/5/2
N2 - We develop a geometric method to establish the existence and uniqueness of equilibrium states associated to some Hölder potentials for center isometries (as are regular elements of Anosov actions), in particular, the entropy maximizing measure and the SRB measure. A characterization of equilibrium states in terms of their disintegrations along stable and unstable foliations is also given. Finally, we show that the resulting system is isomorphic to a Bernoulli scheme.
AB - We develop a geometric method to establish the existence and uniqueness of equilibrium states associated to some Hölder potentials for center isometries (as are regular elements of Anosov actions), in particular, the entropy maximizing measure and the SRB measure. A characterization of equilibrium states in terms of their disintegrations along stable and unstable foliations is also given. Finally, we show that the resulting system is isomorphic to a Bernoulli scheme.
UR - https://www.scopus.com/pages/publications/85159791249
UR - https://www.scopus.com/inward/citedby.url?scp=85159791249&partnerID=8YFLogxK
U2 - 10.1017/S147474802300018X
DO - 10.1017/S147474802300018X
M3 - Article
AN - SCOPUS:85159791249
SN - 1474-7480
VL - 23
SP - 1295
EP - 1355
JO - Journal of the Institute of Mathematics of Jussieu
JF - Journal of the Institute of Mathematics of Jussieu
IS - 3
ER -