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The scattering-matrix product SS+ of a weakly absorbing medium is related by a unitary transformation to the time-delay matrix without absorption. It follows from this relationship that the eigenvalues of SS+ for a weakly absorbing chaotic…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. W. J. Beenakker , P. W. Brouwer

The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.

Commutative Algebra · Mathematics 2021-09-20 Mahdi Anbarloei

This work theoretically analyzes the sound absorption properties of a chirped multi-layer porous material including transmission, in particular showing the broadband unidirectional absorption properties of the system. Using the combination…

We prove weak approximation for smooth cubic hypersurfaces of dimension at least 2 defined over the function field of a complex curve.

Algebraic Geometry · Mathematics 2015-11-03 Zhiyu Tian

In this paper, we analyse the optical absorption in porous silicon . This is the first attempt to explicitly demonstrate that it is not possible to extract the band gap of such low dimensional nanostructures like porous silicon from a Tauc…

Soft Condensed Matter · Physics 2007-05-23 Shouvik Datta , K. L. Narasimhan

Recently, researches related to unsupervised disentanglement learning with deep generative models have gained substantial popularity. However, without introducing supervision, there is no guarantee that the factors of interest can be…

Machine Learning · Computer Science 2020-03-13 Junxiang Chen , Kayhan Batmanghelich

Mixture models are traditionally represented and learned by adding several distributions as components. Allowing mixtures to subtract probability mass or density can drastically reduce the number of components needed to model complex…

Machine Learning · Computer Science 2024-04-29 Lorenzo Loconte , Aleksanteri M. Sladek , Stefan Mengel , Martin Trapp , Arno Solin , Nicolas Gillis , Antonio Vergari

We theoretically and experimentally report sub-wavelength resonant panels for low-frequency quasi-perfect sound absorption including transmission by using the accumulation of cavity resonances due to the slow sound phenomenon. The…

Classical Physics · Physics 2019-10-16 Noé Jiménez , Vicent Romero-García , Vincent Pagneux , Jean-Philippe Groby

For commutative graded rings, the concept of graded $2$-absorbing (graded weakly $2$-absorbing) ideals was introduced and examined by Al-Zoubi, Abu-Dawwas and \c{C}eken (Hacettepe Journal of Mathematics and Statistics, 48 (3) (2019),…

Rings and Algebras · Mathematics 2021-12-24 Azzh Alshehry , Jebrel Habeb , Rashid Abu-Dawwas , Ahmad Alrawabdeh

We give alternative proofs to certain results in the paper "Weak limits of almost invariant projections" by using ultraproducts of operators.

Operator Algebras · Mathematics 2014-11-14 March Boedihardjo

We consider the effect of different approximations to the dielectric function of a silver sphere on the absorption of light by two-dimensional and three-dimensional periodic and non-periodic arrays of non-overlapping silver spheres in a…

Soft Condensed Matter · Physics 2007-05-23 V. Yannopapas , A. Modinos , N. Stefanou

We demonstrate a factorization formula for semi-inclusive deep-inelastic scattering with hadrons in the current fragmentation region detected at low transverse momentum. To facilitate the factorization, we introduce the transverse-momentum…

High Energy Physics - Phenomenology · Physics 2011-08-01 Xiangdong Ji , Jian-ping Ma , Feng Yuan

We prove weak type inequalities for a large class of noncommutative square functions. In conjunction with BMO type estimates, interpolation and duality, we will obtain the corresponding equivalences in the whole Lp scale. The main novelty…

Operator Algebras · Mathematics 2009-01-27 Tao Mei , Javier Parcet

Separable extensions of noncommutative rings have already been studied extensively. Recently, N. Hamaguchi and A. Nakajima introduced the notions of weakly separable extensions and weakly quasi-separable extensions. They studied weakly…

Rings and Algebras · Mathematics 2026-03-09 Satoshi Yamanaka

We present a model of one-dimensional irreversible adsorption in which particles once adsorbed immediately shrink to a smaller size or expand to a larger size. Exact solutions for the fill factor and the particle number variance as a…

Disordered Systems and Neural Networks · Physics 2007-05-23 Arsen V. Subashiev , Serge Luryi

We study light absorption by weakly rough metal surfaces with the roughness amplitude and correlation length smaller than the skin depth in metal. We develop a systematic perturbative approach for calculation of the absorptance in such…

Mesoscale and Nanoscale Physics · Physics 2022-11-16 Zhyrair S. Gevorkian , Ludvig S. Petrosyan , Tigran V. Shahbazyan

The notion of weakly separable extensions was introduced by N. Hamaguchi and A. Nakajima as a generalization of separable extensions. The purpose of this article is to give a characterization of weakly separable polynomials in skew…

Rings and Algebras · Mathematics 2026-03-09 Satoshi Yamanaka

We introduce type-theoretic algebraic weak factorisation systems and show how they give rise to homotopy-theoretic models of Martin-L\"of type theory. This is done by showing that the comprehension category associated to a type-theoretic…

Category Theory · Mathematics 2022-06-30 Nicola Gambino , Marco Federico Larrea

The present paper is intended to provide the basis for the study of weakly differentiable functions on rectifiable varifolds with locally bounded first variation. The concept proposed here is defined by means of integration by parts…

Differential Geometry · Mathematics 2016-07-19 Ulrich Menne

We introduce a notion of a weak elementary fibration and prove that it does exist in certain interesting cases. Our notion is a modification of the M. Artin's notion of an elementary fibration.

Algebraic Geometry · Mathematics 2023-02-07 Ning Guo , Ivan Panin