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Frobenius–Perron theory
of endofunctors
Jianmin Chen, Zhibin Gao, Elizabeth Wicks, James J. Zhang, Xiaohong Zhang and Hong Zhu |
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Vol. 13 (2019), No. 9, 2005–2055
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Abstract |
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We introduce the Frobenius–Perron dimension of an endofunctor of a -linear category and provide some applications. |
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Keywords
Frobenius–Perron dimension, derived categories, embedding
of categories, tame and wild dichotomy, complexity
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Mathematical Subject Classification 2010
Primary: 16E10,18E30,16G60
Secondary: 16E35
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Milestones
Received: 4 April 2018
Revised: 4 April 2019
Accepted: 25 June 2019
Published: 7 December 2019
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Authors |
| Jianmin Chen | |
| School of Mathematical
Sciences Xiamen University China |
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| Zhibin Gao | |
| Department of Communication
Engineering Xiamen University China |
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| Elizabeth Wicks | |
| Department of Mathematics University of Washington Seattle, WA United States |
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| James J. Zhang | |
| Department of Mathematics University of Washington Seattle, WA United States |
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| Xiaohong Zhang | |
| College of Sciences Ningbo University of Technology China |
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| Hong Zhu | |
| Department of Information Sciences,
the School of Mathematics and Physics Changzhou University China |
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