论文标题
有限地平线的上的和线性重复的洛伦兹气体不是指数级混合
Aperiodic and linearly repetitive Lorentz gases of finite horizon are not exponentially mixing
论文作者
论文摘要
我们证明，对于任何类别的Hölder可观察物，在任何维度上都没有与指数或拉伸的指数速度混合的上的和线性重复的Lorentz气体。我们还限制了Hölder空间中可观察物的混合速度$H_α$，具体取决于$α$。
We prove that aperiodic and linearly repetitive Lorentz gases with finite horizon are not mixing with exponential or stretched exponential speed in any dimension for any class of Hölder observables. We also bound the polynomial speed of mixing for observables in the Hölder space $H_α$ depending on $α$.
