Results 11 to 20 of about 1,197 (175)
Isomorphism of Trees and Isometry of Ultrametric Spaces
Theory and Applications of Graphs, 2020 We study the conditions under which the isometry of spaces with metrics generated by weights given on the edges of finite trees is equivalent to the isomorphism of these trees.
Oleksiy Dovgoshey
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Ultrametric Preserving Functions and Weak Similarities of Ultrametric Spaces$$^*$$ [PDF]
p-Adic Numbers, Ultrametric Analysis and Applications, 2021 18 pages, 1 ...
Bilet, Viktoriia +2 more
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Ultrametrically injective spaces [PDF]
Proceedings of the American Mathematical Society, 1987 We study the injective objects in the category of ultrametric spaces with contractive mappings. As a result, the property of spherical completeness is characterized in several new ways related to extensions of uniformly continuous mappings and to extensions of isometries. A construction of the injective envelope is also given.
Bayod, José M., Martínez-Maurica, J.
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ROUNDNESS PROPERTIES OF ULTRAMETRIC SPACES [PDF]
Glasgow Mathematical Journal, 2013 AbstractMotivated by a classical theorem of Schoenberg, we prove that an n + 1 point finite metric space has strict 2-negative type if and only if it can be isometrically embedded in the Euclidean space $\mathbb{R}^{n}$ of dimension n but it cannot be isometrically embedded in any Euclidean space $\mathbb{R}^{r}$ of dimension r < n.
Faver, Timothy +5 more
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A look at nonexpansive mappings in non-Archimedean vector spaces
Moroccan Journal of Pure and Applied Analysis, 2021 In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space.
Lazaiz Samih
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Homogeneous Ultrametric Spaces
Journal of Algebra, 1996 Fortsetzung von zwei vorangehenden Arbeiten über verallgemeinerte ultrametrische Räume [the authors, Generalized ultrametric spaces I, Abh. Math. Semin. Univ. Hamb. 66, 55-73 (1996); and Part II (1997)]. Es wird der Begriff des homogenen ultrametrischen Raumes eingeführt [the authors, C. R. Math. Acad. Sci., Soc. R. Can. 18, 1-16 (1996; Zbl 0853.54029)]
Priess-Crampe, S., Ribenboim, P.
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On metric structure of ultrametric spaces [PDF]
Journal of Physics A: Mathematical and General, 2004 In our work we have reconsidered the old problem of diffusion at the boundary of ultrametric tree from a "number theoretic" point of view. Namely, we use the modular functions (in particular, the Dedekind eta-function) to construct the "continuous" analog of the Cayley tree isometrically embedded in the Poincare upper half-plane.
Vasilyev, Oleg, Nechaev, Sergei
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Probability measure monad on the category of ultrametric spaces
Applied General Topology, 2008 The set of all probability measures with compact support on an ultrametric space can be endowed with a natural ultrametric. We show that the functor of probability measures with finite supports (respectively compact supports) forms a monad in the ...
O.B. Hubal, M.M. Zarichnyi
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Pseudodifferential operators on ultrametric spaces and ultrametric wavelets [PDF]
Izvestiya: Mathematics, 2005 A family of orthonormal bases, the ultrametric wavelet bases, is introduced in quadratically integrable complex valued functions spaces for a wide family of ultrametric spaces. A general family of pseudodifferential operators, acting on complex valued functions on these ultrametric spaces is introduced.
Khrennikov, A. Yu., Kozyrev, S. V.
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Computational Models for Ultrametric Spaces
Electronic Notes in Theoretical Computer Science, 1997 AbstractFor every ultrametric space, the set of closed balls of radius 0 or 2-n for some n, form an algebraic poset under reverse inclusion. If the ultrametric space is complete separable, then they form a Scott computational model for it. Conversely, every topological space with an algebraic computational model is a complete separable ultrametrizable ...
Bob Flagg, Ralph Kopperman
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