On the joint continuity of topological pressures for sub-additive singular-valued potentials

DOI10.1142/S0219493721500428zbMath1485.37031OpenAlexW3124916559MaRDI QIDQ3384678

Lan Xu, Congcong Qu

Publication date: 17 December 2021

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493721500428

zbMATH Keywords

Hausdorff dimensiontopological pressureexpanding mapsingular-valued potential

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40)

Cites Work

• Unnamed Item
• Non-conformal repellers and the continuity of pressure for matrix cocycles
• The thermodynamic formalism for sub-additive potentials
• Dimension and recurrence in hyperbolic dynamics
• Hausdorff dimension of quasi-circles
• Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure
• On Ω-stability and structural stability of endomorphisms satisfying Axiom A
• Bounded distortion and dimension for non-conformal repellers
• Dynamical upper bounds for Hausdorff dimension of invariant sets
• Repellers for real analytic maps
• The dimensions of a non-conformal repeller and an average conformal repeller
• Endomorphisms of Compact Differentiable Manifolds

This page was built for publication: On the joint continuity of topological pressures for sub-additive singular-valued potentials