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math.DS2025
Relative entropy, topological pressure and variational principle for locally compact sofic group actions
Xianqiang Li, Zhuowei Liu
For a locally compact sofic group continuously acting on a compact metric space, we first study the relative sofic entropy and prove an additive inequality relating sofic entropy a…
math.DS2025
Sofic conditional mean dimension, relative sofic mean dimension and their localizations
Xianqiang Li, Zhuowei Liu, Xiaofang Luo
Let be a factor map between continuous actions of a sofic group , we study sofic conditional mean dimension and relative sofic mean dimension introduced in \…