标题： 富集相变的阶梯偏积变换 显示英文标题

标题： Rich phase transitions in step skew-products

摘要： 我们展示了部分双曲且拓扑传递的局部微分同胚的例子，它们被定义为马蹄上的偏微分，表现出丰富的拓扑压相变现象。 这种相变源于中心李雅普诺夫指数谱的间隙。 它与两种具有正熵的平衡态的同时存在有关。 这些微分同胚混合了不同类型的双曲行为。 然而，在某种意义上，扩张行为并非占主导地位，这由具有非正中心指数的最大熵测度的存在所表明。 显示英文摘要

摘要： We present examples of partially hyperbolic and topologically transitive local diffeomorphisms defined as skew products over a horseshoe which exhibit rich phase transitions for the topological pressure. This phase transition follows from a gap in the spectrum of the central Lyapunov exponents. It is associated to the coexistence of two equilibrium states with positive entropy. The diffeomorphisms mix hyperbolic behavior of different types. However, in some sense the expanding behavior is not dominating which is indicated by the existence of a measure of maximal entropy with nonpositive central exponent.