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pro vyhledávání: '"Hubert, Pascal"'
This book explores infinite-type translation surfaces and is intended as an introductory text for graduate and PhD students, as well as a reference for more advanced researchers. Chapter 1 introduces the three definitions of translation surfaces and
Externí odkaz:
http://arxiv.org/abs/2403.05424
We show that any real number in [0,1) is a diffusion rate for the wind-tree model with rational parameters. We will also provide a criterion in order to describe the shape of the Lyapunov spectrum of cocycles obtained as suspension of a representatio
Externí odkaz:
http://arxiv.org/abs/2308.15121
Let $\Omega$ be a strictly convex divisible subset of the $n$-dimensional real projective space which is not an ellipsoid. Even though $\partial\Omega$ is not $C^2$, Benoist showed that it is $C^{1+\alpha}$ for some $\alpha>0$, and Crampon establishe
Externí odkaz:
http://arxiv.org/abs/2307.09363
The languages generated by interval exchange transformations have been characterized by Ferenczi-Zamboni (2008) and Belov-Cernyatev (2010) under some extra conditions on the system. Lifting these conditions leads us to consider successively natural c
Externí odkaz:
http://arxiv.org/abs/2212.01024
Publikováno v:
In Materials & Design November 2024 247
Publikováno v:
In Composites Part A October 2024 185
Publikováno v:
In Additive Manufacturing 5 August 2024 93
Autor:
Ferenczi, Sébastien, Hubert, Pascal
We give conditions for minimality of $\mathbb Z/N\mathbb Z$ extensions of a rotation of angle $\alpha$ with one marked point, solving the problem for any prime $N$: for $N=2$, these correspond to the Veech 1969 examples, for which a necessary and suf
Externí odkaz:
http://arxiv.org/abs/2103.09018
We introduce a new renormalization procedure on double rotations, which is reminiscent of the classical Rauzy induction. Using this renormalization we prove that the set of parameters which induce infinite type double rotations has Hausdorff dimensio
Externí odkaz:
http://arxiv.org/abs/2102.11803