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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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AI & Data Science Preprint PDF DOI

Progressive Correspondence Regenerator for Robust 3D Registration

Guiyu Zhao, Sheng Ao, Ye Zhang, Kai Xu, Yulan Guo · 2025

Obtaining enough high-quality correspondences is crucial for robust registration. Existing correspondence refinement methods mostly follow the paradigm of outlier removal, which either fails to correc…

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AI & Data Science Preprint PDF DOI

Authorship attribution for Differences between Literary Texts by Bilingual Russian-French and Non-Bilingual French Authors

Margarita Makarova · 2023

Do bilingual Russian-French authors of the end of the twentieth century such as Andre\"i Makine, Val\'ery Afanassiev, Vladimir F\'edorovski, Iegor Gran, Luba Jurgenson have common stylistic traits in …

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Computer Science Preprint PDF DOI

Detecting Unjustified Assumptions in Subclasses via Elegant Objects Representation

Vitaliy Korbashov, Nikolai Kudasov, Mikhail Olokin, Violetta Sim · 2022

Elegant Objects (EO) is a programming language based on ideas of pure objects and the Decorator pattern. Bugayenko has suggested it as an intermediate representation for object-oriented programs. This…

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Computer Science Preprint PDF DOI

Detecting unanticipated mutual recursion using Elegant Objects representation of object-oriented programs

Nikolai Kudasov, Mikhail Olokin, Oleksii Potyomkin, Nikolay Shilov, Maxim Stepanov · 2022

Elegant Objects (EO) is a variation of the object-oriented programming paradigm that favors pure objects and decoration. EO programming language is based on these ideas and has been suggested by Bugay…

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Computer Science Preprint PDF DOI

Formalizing $\varphi$-calculus: a purely object-oriented calculus of decorated objects

Nikolai Kudasov, Violetta Sim · 2022

Many calculi exist for modelling various features of object-oriented languages. Many of them are based on $\lambda$-calculus and focus either on statically typed class-based languages or dynamic proto…

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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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