Results 51 to 60 of about 92 (91)
Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes [PDF]
\ua9 2019 World Scientific Publishing Company. We construct vertex transitive lattices on products of trees of arbitrary dimension d ≥ 1 based on quaternion algebras over global fields with exactly two ramified places.
Rungtanapirom N, Vdovina A, Stix J
core
Programable metal–organic framework (MOF) architectures are revealed as versatile micro‐ and optoelectronic platforms, spanning low/high‐κ dielectrics, semiconductive frameworks, and electrically driven phosphor‐free white emitters. Metal nodes, π‐conjugated linkers, guests, and confined water emerge as decisive handles for tuning charge transport ...
Pounraj Thanasekaran +5 more
wiley +1 more source
Coexistence of multiple Pt species, i.e., single atom like Pt, 2D Pt rafts, on Pt‐depleted liquid Ga‐Pt alloys, is elucidated by correlative XPS and STEM measurements. Additionally, promotion of the spatial‐isolated Pt formation on liquid Ga is furthermore revealed.
Tzung‐En Hsieh +8 more
wiley +1 more source
Both centrosymmetric, Fd3m, and non‐centrosymmetric, F4132, space groups cannot be distinguished in solving, refining and describing AB2X4 spinel structures in the harmonic approximation. They can be distinguished only by using the third‐order tensor approximation of anisotropic displacement parameters.Many compounds adopting the spinel AB2X4 structure
Alla Arakcheeva +2 more
wiley +1 more source
Multiplicative Invariants and the Finite Co-Hopfian Property
A group is said to be, finitely co-Hopfian when it contains no proper subgroup of finite index isomorphic to itself. It is known that irreducible lattices in semisimple Lie groups are finitely co-Hopfian.
Humphreys, JJAM, Johnson, FEA
core
Visualizing and teaching crystallographic symmetry using Jmol
The JmolSpace Group Symmetry Visualizer (https://spacegroups.symotter.org) is an online resource for the visualization of crystallographic symmetry built around the versatile Jmol application and represents a unique resource for students and educators in crystallography and researchers using crystallographic methods.The JmolSpace Group Symmetry ...
Dean H. Johnston, Robert M. Hanson
wiley +1 more source
Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
wiley +1 more source
Zeta functions of reductive groups and their zeros
This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups ...
Weng, L., Lin Weng
core +1 more source
Fundamentals of a mathematical theory of fuzzy sets [PDF]
summary:Fuzzy sets establish a mapping from the interval of values of a criterial function onto a system of subsets of a basic set. In the paper, a system of definitions and theorems is introduced, which is aimed at an adequate expression of this point ...
Machner, Joachim +13 more
core +1 more source
Independence and strong independence complexes of finite groups
Abstract Let G$G$ be a finite group. In [10], two different concepts of independence (namely, independence and strong independence) are introduced for the subsets of G$G$, yielding to the definition of two simplicial complexes whose vertices are the elements of G$G$. The strong independence complex Σ∼(G)$\tilde{\Sigma }(G)$ turns out to be a subcomplex
Andrea Lucchini, Mima Stanojkovski
wiley +1 more source

