猫映射与模群的拟态射的稳定混合
Stable mixing for cat maps and quasi-morphisms of the modular group
摘要：
众所周知，模群的双曲元（"猫映射“）在2-环面上的作用具有很强的混沌动力学性质，如混合和相关性的指数衰减。在本文中，我们研究这种行为的稳定性与踢。我们的方法是基于几何群论，特别是一个新的结果拟同构的模群。
英文摘要：
It is well-known that the action of a hyperbolic element (``cat map'') of the modular group on the 2-torus has strong chaotic dynamical properties such as mixing and exponential decay of correlations. In this note we study stability of this behaviour with respect to kicks. Our approach is based on geometric group theory, and in particular on a new result on quasimorphisms of the modular group.
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。
