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arXiv · 1011.2018

Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity

Georg Ostrovski·Sebastian van Strien
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Abstract

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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Georg Ostrovski, Sebastian van Strien. 2010-11-09. Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity. https://doi.org/10.1134/s1560354711010059

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