Results 151 to 160 of about 511,872 (337)

Geometric Invariant Theory and Roth's Theorem

, 2013
We present a proof of Thue-Siegel-Roth's Theorem (and its more recent variants, such as those of Lang for number fields and that "with moving targets" of Vojta) as an application of Geometric Invariant Theory (GIT). Roth's Theorem is deduced from a general formula comparing the height of a semi-stable point and the height of its projection on the GIT ...
openaire   +2 more sources

Tailoring Microstructure in Copper‐Based Conductive Metal–Organic Frameworks for Enhanced Chemiresistive Sensing and Uptake of Sulfur Dioxide

Advanced Functional Materials, EarlyView.
Precursor‐ and solvent‐mediated synthesis yields four Cu3(HHTP)2 morphologies with distinct physicochemical, sorption, and sensing properties toward SO2. Uptake capacities correlate with BET surface area, while sensing performance scales with particle aspect ratio.
Patrick Damacet, Zhuoran Zhong, Elí Sánchez‐González, Camille L. Slagle, Ilich A. Ibarra, Katherine A. Mirica   +5 more
wiley   +1 more source

Horizons that gyre and gimble: a differential characterization of null hypersurfaces

European Physical Journal C: Particles and Fields
Motivated by the thermodynamics of black hole solutions conformal to stationary solutions, we study the geometric invariant theory of null hypersurfaces.
Samuel Blitz, David McNutt
doaj   +1 more source

Geometric Invariant Theory and Stretched Kostka Quasi-Polynomials

International Mathematics Research Notices
Abstract For $G$ a semisimple, simply-connected complex algebraic group and two dominant integral weights $\lambda , \mu $, we consider the dimensions of weight spaces $V_\lambda (\mu )$ of weight $\mu $ in the irreducible, finite-dimensional highest weight $\lambda $ representation.
Besson, Marc, Jeralds, Sam, Kiers, Joshua   +2 more
openaire   +2 more sources

Geometric Invariant Theory for principal three-dimensional subgroups\n acting on flag varieties [PDF]

, 2015
Henrik Seppänen, Valdemar V. Tsanov
openalex   +1 more source

Multiscale Structuring of Hydroxyapatite via Two‐Photon Lithography of Nanocomposites

Advanced Functional Materials, EarlyView.
Hydroxyapatite scaffolds are of great interest in bone tissue engineering applications, ranging from 3D cell culture to regenerative medicine. Using two‐photon lithography of a transparent nanocomposite, hydroxyapatite microstructures with features ranging from submicron to centimeter‐scale are fabricated. This allows to mimic the natural bone geometry,
Leonhard Hambitzer, Jan Mathis Hornbostel, Richard Prediger, Sebastian Kluck, Michael Daub, Cornelia Lee‐Thedieck, Frederik Kotz‐Helmer   +6 more
wiley   +1 more source

Emergent Spin‐Glass Behavior in an Iron(II)‐Based Metal–Organic Framework Glass

Advanced Functional Materials, EarlyView.
A one‐pot, solvent‐free synthesis yields an Fe2+‐based metal‐organic framework (MOF) glass featuring a continuous random network structure. The material exhibits spin‐glass freezing at 14 K, driven by topological‐disorder and short‐range magnetic frustration, showcasing the potential of MOF glasses as a plattform for cooperative magnetic phenomena in ...
Chinmoy Das, Soma Salamon, Joachim Landers, Jan‐Benedikt Weiß, Wen‐Long Xue, Pascal Kolodzeiski, Roman Pallach, Heiko Wende, Sebastian Henke   +8 more
wiley   +1 more source

An All‐Optical Driven Bio‐Photovoltaic Interface for Active Control of Live Cells

Advanced Functional Materials, EarlyView.
Bio‐photovoltaic Interface (BIO‐PV‐I) for live cell manipulation is presented. BIO‐PV‐I can be activated non‐invasively and remotely to control the spatial motility, adhesion, and morphology of cells adhering to it. BIO‐PV‐I uses a patterned light‐induced electric potential in iron‐doped lithium niobate crystals whose light‐driven and reversible nature,
Lisa Miccio, Martina Mugnano, Valentina Marchesano, Alejandro Calabuig, Zhe Wang, Gennaro Giordano, Francesca Borrelli, Simonetta Grilli, Pietro Ferraro   +8 more
wiley   +1 more source

Tuning the Electronic Structure and Spin State of Fe─N─C Catalysts Using an Axial Oxygen Ligand and Fe Clusters for High‐Efficiency Rechargeable Zinc–Air Batteries

Advanced Functional Materials, EarlyView.
A FeN4─O/Clu@NC‐0.1Ac catalyst containing atomically‐dispersed FeN4─O sites (medium‐spin Fe2+) and Fe clusters delivered a half‐wave potential of 0.89 V for ORR and an overpotential of 330 mV at 10 mA cm−2 for OER in 0.1 m KOH. When the catalyst was used in a rechargeable Zn–air battery, a power density of 284.5 mW cm−2 was achieved with excellent ...
Yongfang Zhou, Yu Mao, Mengyao Chang, Ziyun Wang, Wenke Xie, Cuizhu Ye, Shanghai Wei, Lars Thomsen, Geoffrey I. N. Waterhouse   +8 more
wiley   +1 more source

Vector Signals and Invariant Systems: Re-Tooling Linear Systems Theory

Signals
In a previous work, we identified the importance of rotation invariance in the standard complex-valued theory of linear time-invariant (LTI) systems and proposed a generalized vector-valued (VV) definition of convolution that reinterprets the complex ...
Mamta Dalal, Steven Sandoval
doaj   +1 more source