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🔍 yegor bugayenko 📂 Mathematics
Showing 3 results for "yegor bugayenko" in Mathematics
Mathematics Preprint PDF DOI

A non-autonomous Hamiltonian diffeomorphism with roots of all orders

Nicolas Grunder, Baptiste Serraille · 2025

We present a way of constructing non-autonomous Hamiltonian diffeomorphisms with roots of all orders by adapting the Anosov-Katok construction. This answers a question by Kathryn Mann and Egor Sheluki…

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Mathematics Preprint PDF DOI

On the Hofer-Zehnder conjecture on $\mathbb{C}\text{P}^d$ via generating functions (with an appendix by Egor Shelukhin)

Simon Allais · 2020

We use generating function techniques developed by Givental, Th\'eret and ourselves to deduce a proof in $\mathbb{C}\text{P}^d$ of the homological generalization of Franks theorem due to Shelukhin. Th…

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Mathematics Preprint PDF DOI

On compact hyperbolic Coxeter d-polytopes with d+4 facets

Anna Felikson, Pavel Tumarkin · 2005

We show that there is no compact hyperbolic Coxeter d-polytope with d+4 facets for d>7. This bound is sharp: examples of such polytopes up to dimension 7 were found by Bugaenko (1984). We also show th…

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