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Ultrametric spaces and their applications
2016Ultrametric spaces and their applications.
Dragović, B., Mišić, N.Ž.
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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
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Combinatorial Optimization Problems in Ultrametric Spaces
Theoretical and Mathematical Physics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Missarov M., Stepanov R.
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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
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Diffusion on locally compact ultrametric spaces
Expositiones Mathematicae, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DEL MUTO M, FIGA' TALAMANCA, Alessandro
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The Common Point Theorem for Ultrametric Spaces
Geometriae Dedicata, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Priess-Crampe, Sibylla, Ribenboim, Paulo
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Embedding ultrametrics into low-dimensional spaces
Proceedings of the twenty-second annual symposium on Computational geometry, 2006We study the problem of minimum-distortion embedding of ultrametrics into the plane and higher dimensional spaces. Ultrametrics are a natural class of metrics that frequently occur in applications involving hierarchical clustering. Low-distortion embeddings of ultrametrics into the plane help visualizing complex structures they often represent.Given an
Mihai Badoiu +3 more
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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.
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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.
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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.
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Ultrametric spaces and related Hilbert spaces
Mathematical Notes, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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