Results 61 to 70 of about 3,792,347 (201)
Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric Space
In this paper, we have established the existence and uniqueness of a common fixed point for occasionally weakly biased mappings of type (A) in an ultrametric space employing an implicit function.
Iqbal H. Jebril +3 more
doaj +1 more source
COI Barcoding Unveils Hidden Fish Diversity and Potential Cryptic Lineages in Inner Mongolia, China
Using 1080 COI barcode sequences from 99 sites across Inner Mongolia, we uncovered 70 molecular OTUs (62 morphospecies), three cryptic lineages, and deep genetic splits within widespread species. Our results provide the first regional barcode reference while revealing both the power and the limitations of single‐locus barcoding for rapid diversity ...
Yibo Zhao +13 more
wiley +1 more source
On Quasisymmetric Mappings Between Ultrametric Spaces
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
openaire +2 more sources
Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source
ABSTRACT Aim The Neotropical region is the most biodiverse in the world, and several hypotheses have been proposed to explain this pattern. Among them, the most prominent are the hypotheses of biotic interchange between domains, climatic refugia during the Pleistocene and geomorphological changes during the Miocene, such as the reorganization of the ...
Lucas O. Mello +5 more
wiley +1 more source
Strongly ultrametric preserving functions [PDF]
An ultrametric preserving function $f$ is said to be strongly ultrametric preserving if ultrametrics $d$ and $f \circ d$ define the same topology on $X$ for each ultrametric space $(X,d)$.
Dovgoshey, Oleksiy
core +1 more source
Structural Transformations Far Off Equilibrium
Within the framework of the methods of statistical physics based on the use of the nonergodic theory and phase space with ultrametric topology, transformations of strong nonequilibrium condensed matter are studied at micro- and macroscopic structural ...
O. I. Olemskoi, A. A. Katsnelson
doaj +1 more source
Abstract Maximum longevity varies widely among marine‐occurring fishes, but the form of its relationship with body size and the contribution of broad environmental gradients remain uncertain. We analysed 757 species, using maximum length as the primary size metric and completed mass only in sensitivity analyses.
Longyu Li, Zenghui Xu
wiley +1 more source
Replica symmetry breaking related to a general ultrametric space I: replica matrices and functionals
We study the replica symmetry breaking related to a general ultrametric space, in particular, replica matrices and ...
Khrennikov, Andrei,
core +6 more sources
Notes on exchange interactions in holographic p-adic CFT
There is a renewed interest in conformal field theories (CFT) on ultrametric spaces (p-adic field and its algebraic extensions) in view of their natural adaptability to the holographic setting.
Parikshit Dutta +2 more
doaj +1 more source

