From Thin Films to Nanodots: Bottom-Up Integration of Fe<sub>3</sub>O<sub>4</sub> on Nb:STO for Functional Oxide Nanostructures. [PDF]
Scalable bottom‐up fabrication of Fe3O4 nanodots on Nb:SrTiO3 using anodic alumina templates enables long‐range ordered arrays with diameters down to 30 nm. STEM highlights the epitaxial growth of Fe3O4 films on Nb:SrTiO3. Complementary polarized neutron reflectometry (PNR) and X‐ray magnetic circular dichroism (XMCD) measurements on continuous films ...
Xu Y +14 more
europepmc +2 more sources
Neural network guided adjoint computations in dual weighted residual error estimation
In this work, we are concerned with neural network guided goal-oriented a posteriori error estimation and adaptivity using the dual weighted residual method. The primal problem is solved using classical Galerkin finite elements.
Julian Roth, Max Schröder, Thomas Wick
doaj +1 more source
Greek-Arabic-Latin: The transmission of mathematical texts in the Middle Ages [PDF]
During the Middle Ages many Greek mathematical and astronomical texts were translated from Greek into Arabic (ca. ninth century) and from Arabic into Latin (ca. twelfth century). There were many factors complicating the study of them, such as translation
Lorch, Richard
core +1 more source
Analysis of the total costs for variants of the Union-Find algorithm [PDF]
We study the average behavior of variants of the UNION-FIND algorithm to maintain partitions of a finite set under the random spanning tree model. By applying the method of moments we can characterize the limiting distribution of the total costs of the ...
Markus Kuba, Alois Panholzer
doaj +1 more source
The one-loop spectral problem of strongly twisted N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory
We investigate the one-loop spectral problem of γ-twisted, planar N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory in the double-scaling limit of infinite, imaginary twist angle and vanishing Yang-Mills coupling constant.
Asger C. Ipsen +2 more
doaj +1 more source
Limit laws for a class of diminishing urn models. [PDF]
In this work we analyze a class of diminishing 2×2 Pólya-Eggenberger urn models with ball replacement matrix M given by $M= \binom{ -a \,0}{c -d}, a,d∈\mathbb{N}$ and $c∈\mathbb{N} _0$.
Markus Kuba, Alois Panholzer
doaj +1 more source
Characterization of Rare Events in Molecular Dynamics
A good deal of molecular dynamics simulations aims at predicting and quantifying rare events, such as the folding of a protein or a phase transition. Simulating rare events is often prohibitive, especially if the equations of motion are high-dimensional,
Carsten Hartmann +4 more
doaj +1 more source
Label-based parameters in increasing trees [PDF]
Grown simple families of increasing trees are a subclass of increasing trees, which can be constructed by an insertion process. Three such tree families contained in the grown simple families of increasing trees are of particular interest: $\textit ...
Markus Kuba, Alois Panholzer
doaj +1 more source
Real wave propagation in the isotropic relaxed micromorphic model [PDF]
For the recently introduced isotropic relaxed micromorphic generalized continuum model, we show that under the assumption of positive definite energy, planar harmonic waves have real velocity.
Abreu, Rafael +5 more
core +2 more sources
Enumerating alternating tree families [PDF]
We study two enumeration problems for $\textit{up-down alternating trees}$, i.e., rooted labelled trees $T$, where the labels $ v_1, v_2, v_3, \ldots$ on every path starting at the root of $T$ satisfy $v_1 < v_2 > v_3 < v_4 > \cdots$.
Markus Kuba, Alois Panholzer
doaj +1 more source

