Results 91 to 100 of about 1,082,995 (200)

Ultrametric Distance in Syntax [PDF]

, 1995
Phrase structure trees have a hierarchical structure. In many subjects, most notably in Taxonomy such tree structures have been studied using ultrametrics.
Roberts, Mark D.
core  

Invariant idempotent measures

Karpatsʹkì Matematičnì Publìkacìï, 2018
The idempotent mathematics is a part of mathematics in which arithmetic operations in the reals are replaced by idempotent operations. In the idempotent mathematics, the notion of idempotent measure (Maslov measure) is a counterpart of the notion of ...
N. Mazurenko, M. Zarichnyi
doaj   +1 more source

Hereditary properties of finite ultrametric spaces

A characterization of finite homogeneous ultrametric spaces and finite ultrametric spaces generated by unrooted labeled trees is found in terms of representing trees.
Petrov, Evgeniy A.
core   +1 more source

Totally bounded ultrametric spaces generated by labeled rays

Applied General Topology
We 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
doaj   +1 more source

Ultrametricity increases the predictability of cultural dynamics

New Journal of Physics, 2018
A quantitative understanding of societies requires useful combinations of empirical data and mathematical models. Models of cultural dynamics aim at explaining the emergence of culturally homogeneous groups through social influence.
Alexandru-Ionuţ Băbeanu, Jorinde van de Vis, Diego Garlaschelli   +2 more
doaj   +1 more source

Minimal bi-Lipschitz embedding dimension of ultrametric spaces [PDF]

, 1994
We prove that an ultrametric space can be bi-Lipschitz embedded in $ℝ^n$ if its metric dimension in Assouad's sense is smaller than n. We also characterize ultrametric spaces up to bi-Lipschitz homeomorphism as dense subspaces of ultrametric inverse ...
Luukkainen, Jouni, Movahedi-Lankarani, Hossein   +1 more
core  

Classifying homogeneous ultrametric spaces up to coarse equivalence [PDF]

, 2019
For every metric space ▫$X$▫ we introduce two cardinal characteristics ▫${rm cov}^flat(X)$▫ and ▫${rm cov}^sharp(X)$▫ describing the capacity of balls in ▫$X$▫. We prove that these cardinal characteristics are invariant under coarse equivalence and prove
Repovš, Dušan, Banakh, Taras
core   +1 more source

Fixed Point Results of Miculescu-Mihail, Mitrović-Hussain, and Boyd-Wong Type in Regular Semimetric Spaces

Journal of Mathematics
We establish three types of nonlinear fixed point theorems in regular semimetric spaces. First, we generalize Miculescu and Mihail’s result, thereby unifying the Matkowski fixed point theorem and the Istrăţescu fixed point theorem concerning convex ...
Shu-Min Lu, Peng Wang, Fei He
doaj   +1 more source

Multi-Metric φ-Contractions on Quadrilaterals with Applications to Fractional Boundary-Value Problems

Mathematics
In this paper, we introduce a general class of quadrilateral total pairwise φ-contractions and investigate fixed-point results for such mappings in metric and semimetric spaces endowed with multiple distinct metrics.
Ravindra K. Bisht, Manuel De La Sen
doaj   +1 more source

Ultrametric Fredholm operators and approximate pseudospectrum [PDF]

Arab Journal of Mathematical Sciences
PurposeThe paper deals with ultrametric bounded Fredholm operators and approximate pseudospectra of closed and densely defined (resp. bounded) linear operators on ultrametric Banach spaces.Design/methodology/approachThe author used the notions of ...
Jawad Ettayb
doaj   +1 more source