Infinite measure mixing for some mechanical systems
Infinite measure mixing for some mechanical systems
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DOI：
10.1016/j.aim.2022.108757
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发表时间：
2018-12
影响因子：
1.7
通讯作者：
D. Dolgopyat;P'eter N'andori
中科院分区：
文献类型：
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作者：
D. Dolgopyat;P'eter N'andori
我们证明，如果无限测度保持系统在大部分相空间上由满足局部极限定理的系统很好地逼近，那么原始系统就具有全局可观测量的混合，即允许无限体积平均值的可观测量。满足我们条件的系统包括具有库仑势的洛伦兹气体、高尔顿板和分段光滑费米-乌拉姆乒乓球。
We show that if an infinite measure preserving system is well approximated on most of the phase space by a system satisfying the local limit theorem, then the original system enjoys mixing with respect to global observables, that is, the observables which admit an infinite volume average. The systems satisfying our conditions include the Lorentz gas with Coulomb potential, the Galton board, and piecewise smooth Fermi-Ulam pingpongs.