Zixu Li

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20242026

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math.RT2026

Transferred $L_{\infty}$ -structures and a classification of binary brackets for finite-dimensional skew-gentle algebras

Zixu Li, Liyu Liu, Lingchao Meng

We construct a transferred $L_{\infty}$ -structure on the shifted Chouhy--Solotar cochain complex of a finite-dimensional skew-gentle algebra and give explicit basis-level formulas fo…

math.DS2026

Lift-Free Approaches to Random Rotation Number and Numerical Approximation

Zixu Li, Simon Lloyd

We study the random rotation number for random circle homeomorphisms. We introduce two new definitions of the random rotation number that can be stated without reference to any cho…

math.DS2026

Periodicity and Rotation Number for Random Circle Homeomorphisms

Zixu Li, Simon Lloyd

We study discrete-time random dynamical systems where each fibre map is an orientation-preserving homeomorphism of the circle. We prove that the existence of a random periodic cycl…

Transferred L∞​-structures and a classification of binary brackets for finite-dimensional skew-gentle algebras

Lift-Free Approaches to Random Rotation Number and Numerical Approximation

Periodicity and Rotation Number for Random Circle Homeomorphisms

Transferred $L_{\infty}$ -structures and a classification of binary brackets for finite-dimensional skew-gentle algebras