On the Basilica operation

Autor: Petschick, Jan Moritz, Rajeev, Karthika

Publikováno v: Groups, Geometry, and Dynamics. 17:331-384

Inspired by the Basilica group $\mathcal B$, we describe a general construction which allows us to associate to any group of automorphisms $G \leq \operatorname{Aut}(T)$ of a rooted tree $T$ a family of Basilica groups $\operatorname{Bas}_s(G), s \in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f83276a51865e5f0c99ea44f495e17b
https://doi.org/10.4171/ggd/702

Towards a combinatorial algorithm for the enumeration of isotopy classes of tilings on hyperbolic surfaces

Autor: Kolbe, Benedikt

Based on the mathematical theory of isotopic tilings on hyperbolic surfaces and mapping class groups, we present the, to the best of our knowledge, first algorithms for the enumeration of isotopy classes of tilings by compact disks with a given symme

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::349d2d97eac589947c0074e72a97fd9e
https://hal.inria.fr/hal-03047231/file/isotopy_algo.pdf

A glimpse into Thurston's work

Autor: Ohshika, Ken'ichi, Papadopoulos, Athanase

Publikováno v: In the tradition of Thurston: Geometry and topology (ed. K. Ohshila and A. papadopoulos), Springer International Publishing, p. 1-58
In the tradition of Thurston: Geometry and topology (ed. K. Ohshila and A. papadopoulos), Springer International Publishing, p. 1-58, 2020, 978-3-030-55927-4. ⟨10.1007/978-3-030-55928-1⟩

International audience; We present an overview of some significant results of Thurston and their impact on mathematics.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::25baf5677e53e58ed77ad5ba0d695f58
https://hal.archives-ouvertes.fr/hal-03085660

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