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On the joint continuity of topological pressures for sub-additive singular-valued potentials
Stochastics and Dynamics  (IF0.98),  Pub Date : 2021-01-25, DOI: 10.1142/s0219493721500428
Congcong Qu, Lan Xu

Given a non-conformal repeller $Λ$ of a $C1$ map $f$, we give a variational principle of a dimensional upper bound of the non-conformal repellers. If $f$ is $C1+α$ then we prove the joint continuity of topological pressure for sub-additive singular-valued potentials on maps and parameters.