Results 31 to 40 of about 1,197 (175)
Characterizations of Urysohn universal ultrametric spaces
Analysis and Geometry in Metric SpacesIn this article, using the existence of infinite equidistant subsets of closed balls, we first characterize the injectivity of ultrametric spaces for finite ultrametric spaces. This method also gives characterizations of the Urysohn universal ultrametric
Ishiki Yoshito
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PLANTS, PEOPLE, PLANET, EarlyView.Medicinal plants used in ethnobotanical traditions to treat or prevent diseases have gained renewed interest for their largely untapped potential in drug discovery. In this study, we developed and tested novel methods to prioritise plant species based on their unexplored medicinal potential. By enabling researchers to target the most promising species,
Giovanni Zecca +3 more
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On Quasisymmetric Mappings Between Ultrametric Spaces
p-Adic Numbers, Ultrametric Analysis and Applications, 2021 In 1980 P. Tukia and J. Väisälä in seminal paper [P. Tukia and J. Väisälä, Quasisymmetric embeddings of metric spaces, Ann. Acad. Sci. Fenn., Ser. A I, Math. 5, 97--114 (1980)] extended a concept of quasisymmetric mapping known from the theory of quasiconformal mappings to the case of general metric spaces.
Petrov, Evgeniy, Salimov, Ruslan
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Methods in Ecology and Evolution, EarlyView.Abstract Macroevolutionary adaptation of a continuous trait to different discrete states across species can be modelled using a phylogenetic state‐dependent Ornstein–Uhlenbeck (OU) process. Existing inference methods face two challenges. First, although efficient likelihood algorithms for continuous trait evolution models exist, none have been ...
Priscilla Lau +4 more
wiley +1 more source
Percolation in an ultrametric space
Electronic Journal of Probability, 2013 Estudiamos la percolación en la red jerárquica de orden $N$ donde la probabilidad de conexión entre dos puntos separados por la distancia $k$ es de la forma $c_{k}/N^{k(1+\delta}, \delta \gr -1 $. Dado que la distancia es ultramétrica, existen diferencias significativas con la percolación en la red euclidiana. Consideramos tres regímenes: $\delta \lt 1
Donald A. Dawson, Luis G. Gorostiza
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Morphological Semigroups and Scale-Spaces on Ultrametric Spaces [PDF]
, 2017 Ultrametric spaces are the natural mathematical structure to deal with data embedded into a hierarchical representation. This kind of representations is ubiquitous in morphological image processing, from pyramids of nested partitions to more abstract dendrograms from minimum spanning trees.
Jesús Angulo, Santiago Velasco-Forero
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EEG p-adic quantum potential accurately identifies depression, schizophrenia and cognitive decline.
PLoS ONE, 2021 No diagnostic or predictive instruments to help with early diagnosis and timely therapeutic intervention are available as yet for most neuro-psychiatric disorders.
Oded Shor +6 more
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Totally bounded ultrametric spaces generated by labeled rays
Applied General TopologyWe will say that a tree T is almost a ray if T is the union of a ray and a finite tree. Let l be a non-degenerate labeling of the vertex set V of almost a ray T and let dI be the corresponding ultrametric on V.
Oleksiy Dovgoshey, Valentino Vito
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Concentrated vulnerabilities in bees: Diet specialists have smaller geographic ranges
Insect Conservation and Diversity, EarlyView.Niche breadth theory predicts a positive association between range size and diet breadth, which could concentrate risk among specialists, but this is not well established for bees. Using global occurrence data (range size) and natural history collection‐derived pollen data (diet breadth), we compared these traits in 633 species from six families and ...
Charles N. Thrift +4 more
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