SRB Measures for $C^{1+\mathrm{Dini}}$ Diffeomorphisms

Nan Ding, Shaobo Gan, Yao Tong

For $C^{1+\mathrm{Dini}}$ diffeomorphisms, we prove a Ledrappier--Young-type characterization of SRB measures among invariant measures whose supports admit dominated splittings. Wh…