Projective Cones for Sequential Dispersing Billiards
Projective Cones for Sequential Dispersing Billiards
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DOI：
10.1007/s00220-023-04657-1
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发表时间：
2023-02-23
影响因子：
2.4
通讯作者：
Liverani, Carlangelo
中科院分区：
文献类型：
--
作者：
Demers, Mark F. F.;Liverani, Carlangelo
我们构造了分散台球的Birkhoff锥，它们被转移算子的作用收缩。这种结构不仅允许研究常规分散台球的统计特性，还允许研究顺序台球（台球在每次碰撞时以规定的方式变化）、开放台球（动力学退出某些区域或在撞击某些障碍物时死亡）和许多其他例子的统计特性。特别地，我们包括混沌散射和随机洛伦兹气体的应用。
We construct Birkhoff cones for dispersing billiards, which are contracted by the action of the transfer operator. This construction permits the study of statistical properties not only of regular dispersing billiards but also of sequential billiards (the billiard changes at each collision in a prescribed manner), open billiards (the dynamics exits some region or dies when hitting some obstacle) and many other examples. In particular, we include applications to chaotic scattering and the random Lorentz gas.