Kamil Orzechowski

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20242026

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math.FA2025

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces

Kamil Orzechowski

We show that any normed space $(K^{n}, ∥ \cdot ∥)$ , $n \geq 2$ , over a field $K$ equipped with a nontrivial non-Archimedean valuation admits a paradoxical decomposition using four piece…

math.GR2025

Translation length formula for two-generated groups acting on trees

Kamil Orzechowski

We investigate translation length functions for two-generated groups acting by isometries on $Λ$ -trees, where $Λ$ is a totally ordered abelian group. In this context, we provide an…