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The duality of Lipschitz-free spaces over ultrametric spaces
Käesolevas bakalaureusetöös esitatakse järgmise artikli põhitulemuse üksikasjalik tõestus: T. A. Abrahamsen, V. Lima ja A. Ostrak, Duality of Lipschitz-free spaces over ultrametric spaces (2025).In this bachelor’s thesis, a detailed proof is given for ...
Kasemets, Siim
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Hierarchical Wilson-Cowan Models and Connection Matrices. [PDF]
Entropy (Basel), 2023 Zúñiga-Galindo WA, Zambrano-Luna BA.
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In ``Characterization, stability and convergence of hierarchical clustering methods'' by G. E. Carlsson, F. Memoli, the natural way to construct an ultrametric space from a given metric space was presented. It was shown that the corresponding map $\textbf{U}$ is $1$-Lipschitz for every pair of bounded metric spaces, with respect to the Gromov-Hausdorff
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Ultrametric spaces bi-Lipschitz embeddable in $ℝ^n$ [PDF]
, 1996 It is proved that if an ultrametric space can be bi-Lipschitz embedded in $ℝ^n$, then its Assouad dimension is less than n. Together with a result of Luukkainen and Movahedi-Lankarani, where the converse was shown, this gives a characterization in terms ...
Luosto, Kerkko
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Category-Native Solomonoff Approximation: From Algorithmic Geometry to Kernels, Operators, and Induction. [PDF]
Entropy (Basel)Hamzi B, Hutter M.
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tidy tree: A New Layout for Phylogenetic Trees. [PDF]
Mol Biol Evol, 2022 Penel S, de Vienne DM.
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Spaces of ranked tree-child networks. [PDF]
J Math BiolMoulton V, Spillner A.
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The ultrametric backbone is the union of all minimum spanning forests. [PDF]
J Phys ComplexRozum JC, Rocha LM.
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The distance backbone of complex networks. [PDF]
J Complex Netw, 2021 Simas T, Correia RB, Rocha LM.
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Integration of morphologic and genetic data clarifies the evolution and species boundaries within a <i>Nychiodes</i> Lederer, 1853 species complex (Lepidoptera, Geometridae). [PDF]
ZookeysWanke D +6 more
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