We define a natural lattice structure on all subsets of a finite root system that extends the weak order on the elements of the corresponding Coxeter group.
Gay, Joël, Pilaud, Vincent
core
Detecting dipolarity of the geomagnetic field in the paleomagnetic record. [PDF]
Lhuillier F, Shcherbakov VP, Sycheva NK.
europepmc +1 more source
X-ray nanotomography and electron backscatter diffraction demonstrate the crystalline, heterogeneous and impermeable nature of conodont white matter. [PDF]
Atakul-Özdemir A +7 more
europepmc +1 more source
Alteration effects of karstification and hydrothermalism on middle Permian Qixia formation at the Wulong section, South China. [PDF]
Shang J +5 more
europepmc +1 more source
Polytopal realizations of finite type $\mathbf{g}$-vector fans
This paper shows the polytopality of any finite type $\mathbf{g}$-vector fan, acyclic or not. In fact, for any finite Dynkin type $\Gamma$, we construct a universal associahedron $\mathsf{Asso}_{\mathrm{un}}(\Gamma)$ with the property that any $\mathbf{g}
Hohlweg, Christophe +2 more
core
Geographical modelling of language decline. [PDF]
Brown D, Wrathmall S.
europepmc +1 more source
Given any polytope $P$ and any generic linear functional ${\bf c} $, one obtains a directed graph $G(P,{\bf c})$ by taking the 1-skeleton of $P$ and orienting each edge $e(u,v)$ from $u$ to $v$ for ${\bf c} (u) < {\bf c} ( v)$.
Hersh, Patricia
core
A Milestone in the Chemical Synthesis of Fe3O4 Nanoparticles: Unreported Bulklike Properties Lead to a Remarkable Magnetic Hyperthermia. [PDF]
Castellanos-Rubio I +9 more
europepmc +1 more source
Biomineralized Materials as Model Systems for Structural Composites: Intracrystalline Structural Features and Their Strengthening and Toughening Mechanisms. [PDF]
Deng Z, Jia Z, Li L.
europepmc +1 more source
Ontogenetic variability in crystallography and mosaicity of conodont apatite: implications for microstructure, palaeothermometry and geochemistry. [PDF]
Shohel M +3 more
europepmc +1 more source

