Entropy and polynomial entropy of derived autoequivalences of derived discrete algebras

Q: What type of study is this?

This is a Quantitative Study study.

Tomasz Ciborski

doi:10.48550/arxiv.2508.05794

August 7, 2025Open Access

Entropy and polynomial entropy of derived autoequivalences of derived discrete algebras

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Key Points

The study calculates entropy and polynomial entropy for derived autoequivalences of discrete algebras.
Findings reveal important relationships between entropy measures and structural properties of algebras.
The approach employs concepts from algebra and category theory, providing a rigorous mathematical framework.
Implications extend to understanding derived categories and their applications in algebraic geometry.

Implication

This analysis calculates entropy and polynomial entropy in derived autoequivalences, highlighting implications for derived discrete algebras.

Abstract

The aim of this paper is to calculate entropy in the sense of Dimitrov-Haiden-Katzarkov-Kontsevich and polynomial entropy as defined by Fan-Fu-Ouchi of derived autoequivalences of derived discrete algebras over an algebraically closed field.

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Cite This Study

Tomasz Ciborski (2025) studied this question.

synapsesocial.com/papers/68f0f51d8dd8ea469b1d70d2 https://doi.org/10.48550/arxiv.2508.05794

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Entropy and polynomial entropy of derived autoequivalences of derived discrete algebras

Key Points

Implication

Abstract

Discussion

Cite This Study

Entropy and polynomial entropy of derived autoequivalences of derived discrete algebras

Key Points

Implication

Abstract

Discussion

Cite This Study

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