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A note on entropy of auto-equivalences: lower bound and the case of orbifold projective lines (1703.07147v2)
Published 21 Mar 2017 in math.AG and math.DS
Abstract: Entropy of categorical dynamics is defined by Dmitrov-Haiden-Katzarkov-Kontsevich. Motivated by the fundamental theorem of the topological entropy due to Gromov-Yomdin, it is natural to ask an equality between the entropy and the spectral radius of induced morphisms on the numerical Grothendieck group. In this paper, we add two results on this equality: the lower bound in a general setting and the equality for orbifold projective lines.
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