论文标题
噪声如何引起顺序?
How does noise induce order?
论文作者
论文摘要
在本文中,我们提出了一个易于检查条件的一般结果,可确保在具有加性噪声的随机动态系统中从混乱状态到常规状态的过渡。我们展示了该结果如何适用于不均匀扩展一个维动力系统的原型家族,显示了噪声诱导的顺序背后的主要数学现象。 在统计物理杂志上接受
In this paper we present a general result with an easily checkable condition that ensures a transition from chaotic regime to regular regime in random dynamical systems with additive noise. We show how this result applies to a prototypical family of nonuniformly expanding one dimensional dynamical systems, showing the main mathematical phenomenon behind Noise Induced Order. Accepted at Journal of Statistical Physics