@article{Zhang2026, 
author = {Hangyue Zhang},
title = {The finiteness of a certain class of geometric ergodic measures},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {6},
pages = {16602-16612},
keywords = {dominated splitting, geometric measure, C1-topology},
url = {https://www.sciopen.com/article/10.3934/math.2026681},
doi = {10.3934/math.2026681},
abstract = {From the perspective of the dominated splitting, under certain assumptions, there existed finitely many closed sets        A    1    ,      A    2    ,  …  ,      A    m   (with        A    i    ≠      A    j   for    i  ≠  j) such that the support of any ergodic geometric measure coincided with one of them.}
}