Convergence of the Fourth Moment and Infinite Divisibility [PDF]
In this note we prove that, for infinitely divisible laws, convergence of the fourth moment to 3 is sufficient to ensure convergence in law to the Gaussian distribution.
Arizmendi, Octavio
core
On the embeddability of certain infinitely divisible probability measures on Lie groups
We describe certain sufficient conditions for an infinitely divisible probability measure on a class of connected Lie groups to be embeddable in a continuous one-parameter convolution semigroup of probability measures. (Theorem 1.3).
C. Chevalley +15 more
core +3 more sources
Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna
We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz +9 more
wiley +1 more source
Extensions of Katz-Panjer families of discrete distributions
Let Nα, β, γ be a discrete random variable whose probability atoms {pn }n∈N satisfy f(n+1) f(n) = α + β E(U n 0 ) E(U n γ ) , n= 0, 1, ..., for some α, β ∈ R, where Uγ ⌢Uniform(γ, 1), γ ∈ (−1, 1].
Dinis D. Pestana , Sílvio F. Velosa
doaj +1 more source
Comparing Compound Poisson Distributions by Deficiency: Continuous-Time Case
In the paper, we apply a new approach to the comparison of the distributions of sums of random variables to the case of Poisson random sums. This approach was proposed in our previous work (Bening, Korolev, 2022) and is based on the concept of ...
Vladimir Bening, Victor Korolev
doaj +1 more source
4D‐Printed Magneto‐Plasmonic Microrobots for Programmable Spatiotemporal De‐Icing
A 4D‐printing strategy is introduced to achieve programmable de‐icing devices. By aligning gold–magnetite nanofillers within a photosensitive resin, the printed structures exhibit dual magnetic and plasmonic functionalities, enabling precise spatio‐temporal ice removal through thermoplasmonic effects.
Amélie Pérot +7 more
wiley +1 more source
Locally trivial torsors that are not Weil-Ch\^atelet divisible
For every prime p we give infinitely many examples of torsors under abelian varieties over Q that are locally trivial but not divisible by p in the Weil-Ch\^atelet group.
Creutz, Brendan
core +1 more source
An Engineered Living Material With Pro‐Angiogenic Activity Inducible by Near‐Infrared Light
NIR‐responsive engineered living materials (ELMs) for controlled angiogenesis: Near‐infrared (800 nm) light activates engineered probiotic bacteria within alginate‐based living materials to secrete a blood vessel‐regenerating protein. The released protein promotes pro‐angiogenic effects in endothelial networks and chick chorioallantoic membranes.
Anwesha Chatterjee +4 more
wiley +1 more source
Equivalence of Infinitely Divisible Distributions
If $F$ is an infinitely divisible distribution function without a Gaussian component whose Levy spectral measure $M$ is absolutely continuous and $M(\mathbb{R}^1\backslash\{0\}) = \infty$, then $F$ is shown to have an a.e. positive density over its support; this support of $F$ is always an interval of the form $(-\infty, \infty), (-\infty, a\rbrack$ or
Hudson, William N., Tucker, Howard G.
openaire +3 more sources
Sensorized Engineered Tissues with Built‐in Thermoregulation and Nutrient Supply
This work introduces a granular hydrogel‐based tissue engineering platform that includes a closed‐loop temperature control to maintain 37°C and sustainably releases nutrients, thereby enabling cells to retain a high viability even if stored at room temperature for up to 24 h.
Antonia Georgopoulou +5 more
wiley +1 more source

