A dynamical characterization of Poisson-Dirichlet distributions
We show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of Poisson-Dirichlet distributions $PD(a,0)$.
Arguin, Louis-Pierre
core +2 more sources
Actuating and Sensing Composites of Liquid Crystal Elastomers and Poly(ionic liquid)s
Ionic conductive, mechanically tough, flexible, and stretchable filaments of a composite material comprising a liquid crystal elastomer and a poly(ionic liquid) are produced through 3D printing, which exhibit large actuation strain under stimulation and electrical resistance variation in response to deformation or environmental condition changes. Their
Zeping Liu +6 more
wiley +1 more source
POISSON APPROXIMATION FOR INDEPENDENT BINOMIAL RANDOM VARIABLES [PDF]
This paper gives a bound for the total variation distance between the distribution of a sum of independent binomial random variables and an appropriate Poisson distribution with mean P n=1 mipi, where mi and pi = 1 − qi are parameters of each binomial distribution. With this bound, it is indicated that the distribution of the sum can be approximated by
openaire +1 more source
A Non‐Reciprocal Architected Porous Medium
ABSTRACT In several fluid flow, energy‐dumping, and energy‐harvesting applications, a dominant flow direction or dominant resistance direction is desirable. In this study, we propose a simple modular geometry that doubles flow resistance in one direction relative to the opposite direction, while maintaining laminar viscous flow.
Clément Vezies +2 more
wiley +1 more source
Some properties of degenerate complete and partial Bell polynomials
In this paper, we study degenerate complete and partial Bell polynomials and establish some new identities for those polynomials. In addition, we investigate the connections between modified degenerate complete and partial Bell polynomials, which are ...
Taekyun Kim +4 more
doaj +1 more source
Machine Learning‐Assisted Inverse Design of Soft and Multifunctional Hybrid Liquid Metal Composites
A machine learning framework is presented for inverse design of synthesizable multifunctional composites containing both liquid metal and solid inclusions. By integrating physics‐based modeling, data‐driven prediction, and Bayesian optimization, the approach enables intelligent design of experiments to identify optimal compositions and realize these ...
Lijun Zhou +5 more
wiley +1 more source
Explicit constants in the nonuniform local limit theorem for Poisson binomial random variables
In a recent paper the authors proved a nonuniform local limit theorem concerning normal approximation of the point probabilities P ( S = k ) $P(S=k)$ when S = ∑ i = 1 n X i $S=\sum_{i=1}^{n}X_{i}$ and X 1 , X 2 , … , X n $X_{1},X_{2},\ldots ,X_{n}$ are ...
Graeme Auld, Kritsana Neammanee
doaj +1 more source
Degenerate binomial and degenerate Poisson random variables
The aim of this paper is to study the Poisson random variables in relation to the Lah-Bell polynomials and the degenerate binomial and degenerate Poisson random variables in connection with the degenerate Lah-Bell polynomials. Among other things, we show that the rising factorial moments of the degenerate Poisson random variable with parameter α are ...
Kim, Dae San, Kim, Taekyun
openaire +2 more sources
3D‐Printable, Honeycomb‐Inspired Tissue‐Like Bioelectrodes for Patient‐Specific Neural Interface
3D printed MRI‐compatible tissue‐like neural electrodes tailored to individual gyral patterns. This honeycomb‐inspired printable gel electrode (HiPGE) employs a bioinspired architecture with soft hydrogels, engineered to match the softness of brain tissue.
Marzia Momin +12 more
wiley +1 more source
A nonuniform local limit theorem for Poisson binomial random variables via Stein’s method
We prove a nonuniform local limit theorem concerning approximation of the point probabilities P ( S = k ) $P(S=k)$ , where S = ∑ i = 1 n X i $S=\sum_{i=1}^{n}X_{i}$ , and X 1 , … , X n $X_{1},\ldots ,X_{n}$ are independent Bernoulli random variables with
Graeme Auld, Kritsana Neammanee
doaj +1 more source

