Results 91 to 100 of about 2,121 (306)
The effect of random scale changes on limits of infinitesimal systems
International Journal of Mathematics and Mathematical Sciences, 1978 Suppose S={{Xnj, j=1,2,…,kn}} is an infinitesimal system of random variables whose centered sums converge in law to a (necessarily infinitely divisible) distribution with Levy representation determined by the triple (γ,σ2,M).
Patrick L. Brockett
doaj +1 more source
A General Result on Infinite Divisibility
The Annals of Probability, 1979 Using and refining a technique developed by O. Thorin, we prove: THEOREM. Let $f(x) = C\cdot x^{\beta - 1} h(x), x > 0$, be a probability density on $(0, \infty)$. Here $\beta > 0$ and $h$ is continuous and satisfies $h(0) = 1$. Assume that $h$ can be analytically continued to the whole complex plane cut along the negative real axis and assume that $h$
openaire +2 more sources
A Proposal of Portfolio Choice for Infinitely Divisible Distributions of Assets Returns [PDF]
In the paper we present a proposal of augmenting portfolio analysis for the infinitely divisible distributions of returns - so that the prices of assets can follow Lévy processes.
Kliber, Pawel
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Symmetric infinitely divisible processes with sample paths in Orlicz spaces and absolute continuity of infinitely divisible processes [PDF]
, 1996 Symmetric Infinitely Divisible Processes with Sample Paths in Orlicz Spaces and Absolute Continuity of Infinitely Divisible ...
Michael Braverman +3 more
core
Symmetric infinitely divisible processes with sample paths in Orlicz spaces and absolute continuity of infinitely divisible processes [PDF]
, 1998 We give necessary and sufficient conditions under which a symmetric measurable infinitely divisible process has sample paths in an Orlicz space Lψ with a function ψ satisfying the Δ2 condition and, as an application, obtain necessary and sufficient ...
Michael Braverman +3 more
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Advanced Materials Technologies, EarlyView.Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu +8 more
wiley +1 more source
Color Center Formation in Silicon‐On‐Insulator for On‐Chip Photonic Integration
Advanced Optical Materials, EarlyView.ABSTRACT Color centers in silicon have great potential as single photon sources for quantum technologies. Some of them – like the T center – also possess optically‐active spins that enable spin‐photon interfaces for generating entangled photons and multi‐spin registers. This paper explores the generation of several types of color centers in silicon for
Arnulf J. Snedker‐Nielsen +15 more
wiley +1 more source
Variation comparison between infinitely divisible distributions and the normal distribution [PDF]
, 2023 Let $X$ be a random variable with finite second moment. We investigate the inequality: $P\{|X-E[X]|\le \sqrt{{\rm Var}(X)}\}\ge P\{|Z|\le 1\}$, where $Z$ is a standard normal random variable.
Sun, Wei, Sun, Ping, Hu, Ze-Chun
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Grounding Large Language Models for Robot Task Planning Using Closed‐Loop State Feedback
Advanced Robotics Research, EarlyView.BrainBody‐Large Language Model (LLM) introduces a hierarchical, feedback‐driven planning framework where two LLMs coordinate high‐level reasoning and low‐level control for robotic tasks. By grounding decisions in real‐time state feedback, it reduces hallucinations and improves task reliability.
Vineet Bhat +4 more
wiley +1 more source
Advanced Robotics Research, EarlyView.Robots can learn manipulation tasks from human demonstrations. This work proposes a versatile method to identify the physical interactions that occur in a demonstration, such as sequences of different contacts and interactions with mechanical constraints.
Alex Harm Gert‐Jan Overbeek +3 more
wiley +1 more source