Dynamical systems and categories

@article{Dimitrov2013DynamicalSA,
  title={Dynamical systems and categories},
  author={George Dimitrov and Fabian Haiden and Ludmil Katzarkov and Maxim Kontsevich},
  journal={arXiv: Category Theory},
  year={2013}
}
We study questions motivated by results in the classical theory of dynamical systems in the context of triangulated and A-infinity categories. First, entropy is defined for exact endofunctors and computed in a variety of examples. In particular, the classical entropy of a pseudo-Anosov map is recovered from the induced functor on the Fukaya category. Second, the density of the set of phases of a Bridgeland stability condition is studied and a complete answer is given in the case of bounded… 
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78 Citations
Highly Influential Citations
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Background Citations
28
Methods Citations
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Results Citations
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78 Citations

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