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Growth of entire functions: from frequent hypercyclicity to hypercyclicity for the differentiation operator
Augustin Mouze
https://arxiv.org/abs/2506.12763

Growth of entire functions: from frequent hypercyclicity to hypercyclicity for the differentiation operator
We study the rate of growth of entire functions that are frequently hypercyclic with respect to some upper weighted densities for the differentiation operator. The statements obtained show the link between the minimal growth of frequently hypercyclic entire functions and that of hypercyclic entire functions. The results are optimal.

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Biquandle cocycle condition for invariants of immersed surface-links in the four-space
Michal Jablonowski
https://arxiv.org/abs/2507.20360 https://arxiv.or…

Biquandle cocycle condition for invariants of immersed surface-links in the four-space
We consider a biquandle-cohomological framework for invariants of oriented immersed surface-links in the four-space. After reviewing projections and Roseman moves for immersed surfaces, we prove that the move types (a,b,c,e,f,g,h) form a minimal generating set, showing in particular that the singular move (h) is independent of the embedded-case set (a,b,c,e,f,g). We extend biquandle colorings to broken surface diagrams with singular points and establish that coloring sets are in bijection for d…

Cuntz--Pimsner algebras of partial automorphisms twisted by vector bundles II: Nuclear dimension
Aaron Kettner
https://arxiv.org/abs/2506.16630 https://

Cuntz--Pimsner algebras of partial automorphisms twisted by vector bundles II: Nuclear dimension
We show that Cuntz--Pimsner algebras associated to partial automorphisms twisted by vector bundles are classifiable in the sense of the Elliott program whenever the action is minimal and the base space is compact, infinite and has finite covering dimension. We also investigate the tracial state space of our algebras, and show that traces are in bijection to certain conformal measures. This generalizes results about partial crossed products by Geffen and complements results about the $C^*$-algeb…