Results 61 to 70 of about 3,279 (212)
Rigidity and Non-recurrence along Sequences
, 2011 Two properties of a dynamical system, rigidity and non-recurrence, are examined in detail. The ultimate aim is to characterize the sequences along which these properties do or do not occur for different classes of transformations.
A. DEL JUNCO +25 more
core +1 more source
Research Progress of Polyoxometalate‐Integrated Frameworks: Syntheses, Properties, and Applications
ChemistryEurope, Volume 4, Issue 4, April 2026.This review systematically summarizes the integration of polyoxometalates with covalent organic frameworks, metal‐organic frameworks, hydrogen‐bonded organic frameworks, and emerging porous hosts. It highlights synergistic effects, synthesis strategies, and applications in catalysis, energy storage, sensing, and biomedicine, while addressing current ...
De‐Yin Wang +6 more
wiley +1 more source
Biomimetic Hierarchical Construction of Anti‐Tumor Polyoxopalladates for Cancer Therapy
Angewandte Chemie, Volume 137, Issue 23, June 2, 2025.Engineering of lacunary polyoxopalladates resulted in a hierarchical assembly that resembles the construction of biomacromolecules. An ordered structural evolution from monomer via dimer to supramolecular aggregates was achieved by cooperative covalent and supramolecular bonding effects, resulting in enhanced anti‐tumor activity via DNA damage ...
Yue Zhao +9 more
wiley +2 more sources
On the maximal directional Hilbert transform in three dimensions
, 2018 We establish the sharp growth rate, in terms of cardinality, of the $L^p$ norms of the maximal Hilbert transform $H_\Omega$ along finite subsets of a finite order lacunary set of directions $\Omega \subset \mathbb R^3$, answering a question of Parcet and
Di Plinio, Francesco, Parissis, Ioannis
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Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley +1 more source
The Cesáro Lacunary Ideal bounded linear operator of χ2 - of φ-statistical vector valued defined by a bounded linear operator of interval numbers [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 Let uv mn A be a sequence of bounded linear operators from a separable Banach metric space of (X , 0) into a Banach metric space (Y, 0). Suppose that φ ∈ Φ is a countable fundamental set of X and the ideal I - of subsets \mathbb{N} x \mathbb{N ...
Deepmala +2 more
doaj +1 more source
Upward and downward statistical continuities [PDF]
, 2013 A real valued function $f$ defined on a subset $E$ of $\textbf{R}$, the set of real numbers, is statistically upward continuous if it preserves statistically upward half quasi-Cauchy sequences, is statistically downward continuous if it preserves ...
Cakalli, Huseyin
core
A sharp estimate for the Hilbert transform along finite order lacunary sets of directions
, 2017 Let $D$ be a nonnegative integer and ${\mathbf{\Theta}}\subset S^1$ be a lacunary set of directions of order $D$.
Di Plinio, Francesco, Parissis, Ioannis
core +1 more source
More Than a Buffer in Biochemistry: Tris as an Architect and Gatekeeper of Metal–Oxo Assembly
Angewandte Chemie International Edition, Volume 65, Issue 13, 23 March 2026.Tris(hydroxymethyl)aminomethane, depicted as an octopus, acts as an alkoxy ligand, chelator, and structure‐directing buffer that programs polyoxometalate's speciation, nucleation, and heterometal insertion in aqueous solution. ABSTRACT Polyoxometalates (POMs, molecular metal–oxo clusters) are typically studied and applied in aqueous media, where ...
Nadiia I. Gumerova, Annette Rompel
wiley +1 more source
Extremal discrepancy behavior of lacunary sequences [PDF]
Monatshefte für Mathematik, 2014 In 1975 Walter Philipp proved the law of the iterated logarithm (LIL) for the discrepancy of lacunary sequences: for any sequence $(n_k)_{k \geq 1}$ satisfying the Hadamard gap condition $n_{k+1} / n_k \geq q > 1,~k \geq 1,$ we have $$ \frac{1}{4 \sqrt{2}} \leq \limsup_{N \to \infty} \frac{N D_N(\{ n_1 x \}, \dots, \{n_N x\})}{\sqrt{2 N \log \log N}}
Aistleitner, Christoph, Fukuyama, Katusi
openaire +3 more sources