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math.DS2022
Irrational rotation dynamics for unimodal maps
Konstantin Bogdanov, Alexander Bufetov
The first result of the paper (Theorem 1.1) is an explicit construction of unimodal maps that are semiconjugate, on the post-critical set, to the circle rotation by an arbitrary ir…
math.CO2022
Generalized fusible numbers and their ordinals
Alexander I. Bufetov, Gabriel Nivasch, Fedor Pakhomov
Erickson defined the fusible numbers as a set of reals generated by repeated application of the function . Erickson, Nivasch, and Xu showed that $\mat…
math.PR2022
Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles
Alexander I. Bufetov, David García-Zelada, Zhaofeng Lin
We investigate the point process of moduli of the Ginibre and hyperbolic ensembles. We show that far from the origin and at an appropriate scale, these processes exhibit Gaussian a…