超越李雅普诺夫
Beyond Lyapunov
摘要：
遍历参数如李雅普诺夫和条件指数是不变测度的全局函数，但不变测度本身包含更多的信息。一个更完整的动力学特性的新的家庭遍历参数进行了讨论，以及它们的关系的动态雷尼熵和措施的自组织。Pesin公式的一个推广推导出在某些弱相关条件下成立。
英文摘要：
Ergodic parameters like the Lyapunov and the conditional exponents are global functions of the invariant measure, but the invariant measure itself contains more information. A more complete characterization of the dynamics by new families of ergodic parameters is discussed, as well as their relation to the dynamical Rényi entropies and measures of self-organization. A generalization of the Pesin formula is derived which holds under some weak correlation conditions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
