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of 44
pro vyhledávání: '"Zava Nicolò"'
Let $G$ be a compact, connected metric graph and let $X\subseteq G$ be a subset. If $X$ is sufficiently dense in $G$, we show that the Gromov--Hausdorff distance matches the Hausdorff distance, namely $d_{GH}(G,X)=d_{H}(G,X)$. In a recent study, when
Externí odkaz:
http://arxiv.org/abs/2411.09182
Autor:
Zava Nicolò
Publikováno v:
Topological Algebra and its Applications, Vol 9, Iss 1, Pp 53-71 (2021)
The usual notion of algebraic entropy associates to every group (monoid) endomorphism a value estimating the chaos created by the self-map. In this paper, we study the extension of this notion to arbitrary sets endowed with monoid actions, providing
Externí odkaz:
https://doaj.org/article/ed31ce759c1b497e8bb7b768ffe6dba0
Motivated by the study of the large-scale geometry of topological groups, we investigate particular families of subsets of topological groups named group ideals. We compare different group ideals in the realm of locally compact groups. In particular,
Externí odkaz:
http://arxiv.org/abs/2408.07813
Autor:
Zava Nicolò
Publikováno v:
Topological Algebra and its Applications, Vol 7, Iss 1, Pp 48-68 (2019)
The notion of entropy appears in many branches of mathematics. In each setting (e.g., probability spaces, sets, topological spaces) entropy is a non-negative real-valued function measuring the randomness and disorder that a self-morphism creates. In
Externí odkaz:
https://doaj.org/article/6a27934f0ff842dcb914479e50525e33
Lattices and periodic point sets are well known objects from discrete geometry. They are also used in crystallography as one of the models of atomic structure of periodic crystals. In this paper we study the embedding properties of spaces of lattices
Externí odkaz:
http://arxiv.org/abs/2310.07594
Coarse and bi-Lipschitz embeddability of subspaces of the Gromov-Hausdorff space into Hilbert spaces
Autor:
Zava, Nicolò
In this paper, we discuss the embeddability of subspaces of the Gromov-Hausdorff space, which consists of isometry classes of compact metric spaces endowed with the Gromov-Hausdorff distance, into Hilbert spaces. These embeddings are particularly val
Externí odkaz:
http://arxiv.org/abs/2303.04730
Motivated by recent applications to entropy theory in dynamical systems, we generalise notions introduced by Matthews and define weakly weighted and componentwisely weakly weighted (generalised) quasi-metrics. We then systematise and extend to full g
Externí odkaz:
http://arxiv.org/abs/2212.08424
Autor:
Zava, Nicolò
In this paper, we study the stability of the q-hyperconvex hull of a quasi-metric space, adapting known results for the hyperconvex hull of a metric space. To pursue this goal, we extend well-known metric notions, such as Gromov-Hausdorff distance an
Externí odkaz:
http://arxiv.org/abs/2208.10619
Publikováno v:
In Theoretical Computer Science 25 October 2023 977
Autor:
Dikranjan, Dikran, Zava, Nicolò
Coarse geometry is the study of large-scale properties of spaces. In this paper we study group coarse structures (i.e., coarse structures on groups that agree with the algebraic structures), by using group ideals. We introduce a large class of exampl
Externí odkaz:
http://arxiv.org/abs/1905.05474