Results 151 to 160 of about 339 (176)
Some of the next articles are maybe not open access.
On Immediate Extensions of Ultrametric Spaces
Results in Mathematics, 1996Let \(\Gamma\cup\{0\}\) 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
Diffusion in ultrametric spaces
1987In this review we discuss the diffusion in ultrametric spaces and analyze the long time behaviour of characteristic observables, e.g. the autocorrelation function. We consider both models with stochastic and nonstochastic parameters (branching ratios, transition rates). Furthermore, results for random energy and random free energy models are given.
C. De Dominicis, M. Schreckenberg
openaire +1 more source
Subordination on ultrametric spaces
Journal of Physics A: Mathematical and General, 1987Using 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
openaire +1 more source
Ultrametric spaces and their applications
2016Ultrametric spaces and their applications.
Dragović, B., Mišić, N.Ž.
openaire +2 more sources
Diffusion in Ultrametric Space
Communications in Theoretical Physics, 1988We presented an exact solution to the diffusion in a non-uniform multifurcating ultrametric space. We found a different critical behavior of relaxation with temperature from before. We proved that the detailed multifurcating structure of an ultrametric space has a weak influence on the long-time behavior of relaxation.
openaire +1 more source
Combinatorial Optimization Problems in Ultrametric Spaces
Theoretical and Mathematical Physics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Missarov M., Stepanov R.
openaire +4 more sources
Colloquium Mathematicum, 2018
This article deals with the enumeration problem for uncountable completely metrizable spaces. We note that with the use of connectedness arguments (cut points) the enumeration problem for uncountable completely metrizable spaces has been solved under the restriction that only connected spaces are considered.
openaire +1 more source
This article deals with the enumeration problem for uncountable completely metrizable spaces. We note that with the use of connectedness arguments (cut points) the enumeration problem for uncountable completely metrizable spaces has been solved under the restriction that only connected spaces are considered.
openaire +1 more source
On the universal ultrametric space
Ukrainian Mathematical Journal, 1994Summary: An ultrametric space in which any separable ultrametric space is isometrically imbedded is constructed. We show how, by using this universal space, any separable ultrametric space can be imbedded into \(l_1\), \(l_2\) and \(c_0\).
openaire +1 more source
Optimal clustering method in ultrametric spaces
2011 IEEE Symposium on Computers and Communications (ISCC), 2011Resume We propose in this paper a novel clustering algorithm in ultrametric spaces. It has a computational cost of O(n). This method is based on the ultratriangle inequality property. Using the order of ultrametric space we demonstrate that we can deduce the proximities between all data in this space with just a few informations.
Said Fouchal, Murat Ahat, Ivan Lavallée
openaire +1 more source
The Common Point Theorem for Ultrametric Spaces
Geometriae Dedicata, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Priess-Crampe, Sibylla, Ribenboim, Paulo
openaire +2 more sources