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pro vyhledávání: '"Roux, Frédéric"'
We explore the relation of weak conjugacy in the group of homeomorphisms isotopic to the identity, for surfaces.
Comment: 18 pages, 2 figures
Comment: 18 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2407.01042
Autor:
Roux, Frédéric Le, Wolff, Maxime
Recently Bowden, Hensel and Webb defined the fine curve graph for surfaces, extending the notion of curve graphs for the study of homeomorphism or diffeomorphism groups of surfaces. Later Long, Margalit, Pham, Verberne and Yao proved that for a close
Externí odkaz:
http://arxiv.org/abs/2210.05460
Autor:
Roux, Frédéric Le, Seyfaddini, Sobhan
We prove that toric symplectic manifolds admit Hamiltonian pseudo-rotations with a finite, and in a sense minimal, number of ergodic measures. The set of ergodic measures of these pseudo-rotations consists of the measure induced by the symplectic vol
Externí odkaz:
http://arxiv.org/abs/2010.06237
Autor:
Treder, Matthias S., Charest, Ian, Michelmann, Sebastian, Martín-Buro, María Carmen, Roux, Frédéric, Carceller-Benito, Fernando, Ugalde-Canitrot, Arturo, Rollings, David T., Sawlani, Vijay, Chelvarajah, Ramesh, Wimber, Maria, Hanslmayr, Simon, Staresina, Bernhard P.
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2021 Dec . 118(50), 1-10.
Externí odkaz:
https://www.jstor.org/stable/27112738
Akademický článek
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Publikováno v:
Geom. Topol. 25 (2021) 2713-2825
In this paper we use the theory of barcodes as a new tool for studying dynamics of area-preserving homeomorphisms. We will show that the barcode of a Hamiltonian diffeomorphism of a surface depends continuously on the diffeomorphism, and furthermore
Externí odkaz:
http://arxiv.org/abs/1810.03139
Autor:
Hauseux, Louis, Roux, Frédéric Le
We study the polynomial entropy of the wandering part of any invertible dynamical system on a compact metric space. As an application we compute the polynomial entropy of Brouwer homeomorphisms (fixed point free orientation preserving homeomorphisms
Externí odkaz:
http://arxiv.org/abs/1712.01502
We give a new proof and extend a result of J. Kwapisz: whenever a set C is realized as the rotation set of some torus homeomorphism, the image of C under certain projective transformations is also realized as a rotations set.
Externí odkaz:
http://arxiv.org/abs/1711.04020
Publikováno v:
In Microelectronic Engineering 15 September 2021 249
Autor:
Roux, Frédéric Le, Mann, Kathryn
We discuss boundedness and distortion in transformation groups. We show that the groups $\mathrm{Diff}^r_0(\mathbb{R}^n)$ and $\mathrm{Diff}^r(\mathbb{R}^n)$ have the strong distortion property, whenever $0 \leq r \leq \infty, r \neq n+1$. This impli
Externí odkaz:
http://arxiv.org/abs/1610.06720