与零和对策相关的分段线性Hamilton流:变迁组合学与遍历性问题
Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity
摘要:
本文考虑一类轨道为分段直线的分段仿射Hamilton向量场。我们给出了这类系统的第一个分类结果,并表明这类微分方程流的轨道结构是惊人的丰富。
英文摘要:
In this paper we consider a class of piecewise affine Hamiltonian vector fields whose orbits are piecewise straight lines. We give a first classification result of such systems and show that the orbit-structure of the flow of such a differential equation is surprisingly rich.
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