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math.AG2021
On Gromov-Yomdin type theorems and a categorical interpretation of holomorphicity
Federico Barbacovi, Jongmyeong Kim
In topological dynamics, the Gromov--Yomdin theorem states that the topological entropy of a holomorphic automorphism of a smooth projective variety is equal to the logarithm o…
math.AG2021★ 3 cited
Entropy of the composition of two spherical twists
Federico Barbacovi, Jongmyeong Kim
Given a categorical dynamical system, i.e. a triangulated category together with an endofunctor, one can try to understand the complexity of the system by computing the entropy of…
math.AG2021
Computation of categorical entropy via spherical functors
Jongmyeong Kim
We study the relationship between the categorical entropy of the twist and cotwist functors along a spherical functor. In particular, we prove the categorical entropy of the twist…