论文标题
不可综合系统的定量行为（IV）
Quantitative behavior of non-integrable systems (IV)
论文作者
论文摘要
在本文中，有两个部分。在第7节中，我们简化了基于特征值的剩余短线方法，用于任意有限的多质量翻译表面。这使得确定某些无限轨道的不规则指数变得更加简单，并且在某些无限模型中更快地找到对某些轨道的无穷大的逃生速率。 In Section 8, our primary goal is to extend the surplus shortline method, both this eigenvalue-based version as well as the eigenvalue-free version, for application to a large class of 2-dimensional flat dynamical systems beyond polysquares, including all Veech surfaces, and establish time-quantitative equidistribution and time-quantitative superdensity of some infinite orbits in these new systems.
In this paper, there are two sections. In Section 7, we simplify the eigenvalue-based surplus shortline method for arbitrary finite polysquare translation surfaces. This makes it substantially simpler to determine the irregularity exponents of some infinite orbits, and quicker to find the escape rate to infinity of some orbits in some infinite models. In Section 8, our primary goal is to extend the surplus shortline method, both this eigenvalue-based version as well as the eigenvalue-free version, for application to a large class of 2-dimensional flat dynamical systems beyond polysquares, including all Veech surfaces, and establish time-quantitative equidistribution and time-quantitative superdensity of some infinite orbits in these new systems.
