Results 171 to 180 of about 3,792,347 (201)

Ultrametric spaces and logic programming

The Journal of Logic Programming, 2000
Summary: We prove a very general multivalued fixed point theorem for ultrametric spaces which at the same time is a generalization of the multivalued fixed point theorem of Khamsi, Kreinovich and Misane for generalized metric spaces and our (singlevalued) fixed point theorem for ultrametric spaces.
Paulo Ribenboim
exaly   +2 more sources

Some fixed point results in ultrametric spaces [PDF]

Topology and Its Applications, 2012
Geometrically, ultrametric spaces and hyperconvex metric spaces are sharply distinct. However spherically complete ultrametric space and hyperconvex metric space share striking similarities. Several of these similarities are discussed here.
Naseer Shahzad
exaly   +2 more sources

Locally finite ultrametric spaces and labeled trees [PDF]

Journal of Mathematical Sciences, 2023
It is shown that a locally finite ultrametric space $(X, d)$ is generated by labeled tree if and only if, for every open ball $B \subseteq X$, there is a point $c \in B$ such that $d(x, c) = \operatorname{diam} B$ whenever $x \in B$ and $x \neq c$.
Kostikov, Alexander, Dovgoshey, Oleksiy
exaly   +2 more sources

Lipschitz-Free Spaces Over Ultrametric Spaces [PDF]

Mediterranean Journal of Mathematics, 2015
The only change in the latest version is the second author's grant information. Question 1 from the previous version has been answered - see Remark 15 for the solution. Preprint was accepted in Mediterr.
Marek Cúth, Michal Doucha
exaly   +3 more sources

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Dynamics on Ultrametric Spaces

Physical Review Letters, 1985
We present an exact solution to the problem of a random walk on an ultrametric space with arbitrary transition probabilities. The solution provides a description of fluctuation dynamics of systems with many degenerate states separated by a hierarchy of energy barriers.
, Ogielski, , Stein
openaire   +2 more sources

Generalized ultrametric spaces II

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1996
The authors study ultrametric spaces \((X, d, \Gamma)\), where \(X\) is a nonempty set, \(\Gamma\) a partially ordered set with smallest element \(0\), and \(d: X\times X \rightarrow\Gamma\) a (surjective) ultrametric distance function (i.e., \(d(x,y)=0\) if and only if \(x=y\), \(d(x,y)=d(y,x)\), if \(d(x,y) \leq \gamma\) and \(d(y,z) \leq \gamma ...
Priess-Crampe, S., Ribenboim, P.
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The immersion of ultrametric spaces into Hahn spaces

Journal of Algebra, 2010
The immersion of an ultrametric space with totally ordered set of distances into a spherically complete ultrametric space was established independently by \textit{S. Priess-Crampe} and \textit{P. Ribenboim} [Abh. Math. Semin. Univ. Hamb. 67, 19--31 (1997; Zbl 0887.54029)] and by \textit{E. Schörner} [Result. Math. 29, No.~3--4, 361--370 (1996; Zbl 0866.
Paulo Ribenboim
exaly   +3 more sources

On Immediate Extensions of Ultrametric Spaces

Results in Mathematics, 1996
Let \(\Gamma\cup\{0\}\) be a totally ordered set with 0 as the first element, \(X\) be a nonempty set. A mapping \(d:X\times X\to \Gamma\cup \{0\}\) is called ultrametric distance if for all \(x,y,z\) from \(X\) the following axioms hold: (1) \(d(x,y)=0 \iff x=y\), (2) \(d(x,y)=d(y,x)\), (3) \(d(x,y)\leq \max(d(x,z), d(z,y))\).
openaire   +1 more source

Subordination on ultrametric spaces

Journal of Physics A: Mathematical and General, 1987
Using the formalism of continuous-time random walks (CTRW) the authors discuss particle diffusion on ultrametric spaces (UMS). For broad waiting time distributions psi (t) approximately t- alpha -1 the temporal ( alpha ) and the energetic ( gamma ) parameters combine multiplicatively (subordinate): i.e.
G Kohler, A Blumen
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A Hyperbolic Filling for Ultrametric Spaces

Computational Methods and Function Theory, 2014
Let \((X,d)\) and \((Y,d^{\prime})\) be Gromov 0-hyperbolic spaces, whose boundaries at infinity \(\partial X\) and \(\partial Y\) are equipped with the canonical visual metrics. The author first shows that an isometry at infinity \(f: X \to Y\) has a canonical extension to a map \(\partial f: \partial X \to \partial Y\) and that the extension is a ...
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