EQUIVALENT CHARACTERIZATIONS OF HYPERBOLIC HOLDER POTENTIAL FOR INTERVAL MAPS

作者：Li, Huaibin^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143(5): 2129-2141.

• Interval maps
• hyperbolic Holder continuous potentials
• positive Lyapunov exponent

Consider a topologically exact C-3 interval map without non-flat critical points. Following previous work we did, we give two equivalent characterizations of hyperbolic Holder continuous potential in terms of the Lyapunov exponents and the measure-theoretic entropies of equilibrium states for those potentials.

• 出版日期2015-5
• 单位河南大学