Results 21 to 30 of about 53 (53)
ABSTRACT A finite group G$$ G $$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on G$$ G $$. We present conditions and obstructions to mixability. We show that 2‐groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite ...
Gideon Amir +3 more
wiley +1 more source
On the generalized Snell–Descartes laws, shock waves, water wakes, and Cherenkov radiation
Abstract The modification of light's trajectory after refracting through a boundary separating two media is a ubiquitous phenomenon in nature. The laws governing such refraction/reflection, known today as the Snell–Descartes laws of reflection and refraction, were established over four centuries ago and have since become foundational to the field of ...
Patrice Genevet +5 more
wiley +1 more source
Ultraviolet–Visible Spin‐Resolved Chip‐Scale Spectroscopy
By harnessing phase, wavelength, and spin multiplexing, the proposed meta‐spectrometer enables spin‐resolved spectral analysis within a compact footprint. The presented dual‐band (320–450 nm) spin‐resolved meta‐spectrometer features enhance optical functionality, allowing for the simultaneous discrimination of spectral content and spin states of light ...
Nasir Mahmood +9 more
wiley +1 more source
Miniaturized Single‐Photon Level Computational Complex Field Imaging System via Meta‐Optics
8192 Hadamard mask patterns generated by the digital micromirror device (DMD) are projected onto a micro target sample via a metalens. The corresponding modulated intensity spectrum encoded with the spatial information of the target is then captured by a photomultiplier tube (PMT) at the Fourier plane to recover both the amplitude and phase images ...
Yuhao Wang +10 more
wiley +1 more source
Estimation and Inference for Higher‐Order Stochastic Volatility Models With Leverage
ABSTRACT Statistical inference—estimation and testing—for stochastic volatility models is challenging and computationally expensive. This problem is compounded when leverage effects are allowed. We propose efficient, simple estimators for higher‐order stochastic volatility models with leverage [SVL(p)$$ (p) $$], based on a small number of moment ...
Md. Nazmul Ahsan +2 more
wiley +1 more source
Normal covering numbers for Sn$S_n$ and An$A_n$ and additive combinatorics
Abstract The normal covering number γ(G)$\gamma (G)$ of a noncyclic group G$G$ is the minimum number of proper subgroups whose conjugates cover the group. We give various estimates for γ(Sn)$\gamma (S_n)$ and γ(An)$\gamma (A_n)$ depending on the arithmetic structure of n$n$. In particular we determine the limsups over γ(Sn)/n$\gamma (S_n) / n$ and γ(An)
Sean Eberhard, Connor Mellon
wiley +1 more source
Weakly special threefolds and nondensity of rational points
Abstract We verify part of a conjecture of Campana predicting that rational points on the weakly special nonspecial simply connected smooth projective threefolds constructed by Bogomolov–Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces
Finn Bartsch +2 more
wiley +1 more source
ABSTRACT Eye‐tracking studies tested the understanding of two types of speech acts (questions and assertions) in 14‐, 18‐, and 30‐month‐olds (N = 280; 149 females; ethnicity data collection forbidden, testing in 2021–2024). Experiments involved objects either hidden or visible for a speaker.
Cyann Bernard +3 more
wiley +1 more source
Abstract Expected utility theory often falls silent, even in cases where the correct rankings of options seems obvious. For instance, it fails to compare the Pasadena game to the Altadena game, despite the latter turning out better in every state. Decision theorists have attempted to fill these silences by proposing various extensions to expected ...
Hayden Wilkinson
wiley +1 more source
Geometrical Optics in Absorbing Media. [PDF]
Epstein PS.
europepmc +1 more source

