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Smoothed analysis of complexity bounds and condition numbers has been done, so far, on a case by case basis. In this paper we consider a reasonably large class of condition numbers for problems over the complex numbers and we obtain…

Numerical Analysis · Mathematics 2007-05-23 Peter Buergisser , Felipe Cucker , Martin Lotz

Looped-functionals have been shown to be relevant for the analysis of a wide variety of systems. However, the conditions obtained in previous works on the analysis of sampled-data, impulsive and switched systems have only been shown to be…

Systems and Control · Computer Science 2015-01-06 Corentin Briat , Alexandre Seuret

In order to improve the already existing models that are used extensively in bio sciences and applied sciences research, a new class of Weighted Power function distribution (WPFD) has been proposed with its various properties and different…

Other Statistics · Statistics 2020-08-03 Azam Zaka , Ahmad Saeed Akhter , Riffat Jabeen

A new Chebyshev-type family of stabilized explicit methods for solving mildly stiff ODEs is presented. Besides conventional conditions of order and stability we impose an additional restriction on the methods: their stability function must…

Numerical Analysis · Mathematics 2025-04-02 Boris Faleichik , Andrew Moisa

In this paper, an alternative Discrete skew Logistic distribution is proposed, which is derived by using the general approach of discretizing a continuous distribution while retaining its survival function. The properties of the…

Methodology · Statistics 2016-04-07 Deepesh Bhati , Subrata Chakraborty , Snober Gowhar Lateef

This note explores uncertainty inequalities for quantum analogues of the Fisher information including the Wigner-Yanase skew information, and their connection to the quantum Sobolev inequalities proved by the author in [Journal of…

Mathematical Physics · Physics 2025-08-22 Laurent Lafleche

Word Mover's Distance (WMD) computes the distance between words and models text similarity with the moving cost between words in two text sequences. Yet, it does not offer good performance in sentence similarity evaluation since it does not…

Computation and Language · Computer Science 2022-06-22 Chengwei Wei , Bin Wang , C. -C. Jay Kuo

We present some results on the monotonicity of some traces involving functions of self-adjoint operators with respect to the natural ordering of their associated quadratic forms. We also apply these results to complete a proof of the Wegner…

Functional Analysis · Mathematics 2016-09-14 J. -M. Combes , P. D. Hislop

We describe a perfect correspondence between skew monoidal categories and certain generalised multicategories, called skew multicategories, that arise in nature.

Category Theory · Mathematics 2019-07-08 John Bourke , Stephen Lack

We study some new invariant measures arising from local inverse iterates. Examples are also given.

Dynamical Systems · Mathematics 2009-09-08 Eugen Mihailescu

Associated to the class of restricted-weak type weights for the Hardy operator, we find a new class of Lorentz spaces for which the normability property holds. This result is analogous to the characterization given by Sawyer for the…

Classical Analysis and ODEs · Mathematics 2007-05-23 Joaquim Martin , Javier Soria

A common approach to model memristive systems is to include empirical window functions to describe edge effects and non-linearities in the change of the memristance. We demonstrate that under quite general conditions, each window function…

Mesoscale and Nanoscale Physics · Physics 2016-05-09 Panayiotis S. Georgiou , Sophia N. Yaliraki , Emmanuel M. Drakakis , Mauricio Barahona

We study skew-orthogonal polynomials with respect to the weight function $\exp[-2V(x)]$, with $V(x)=\sum_{K=1}^{2d}(u_{K}/{K})x^{K}$, $u_{2d} > 0$, $d > 0$. A finite subsequence of such skew-orthogonal polynomials arising in the study of…

Mathematical Physics · Physics 2015-06-26 Saugata Ghosh

This paper obtains new characterizations of weighted Hardy spaces and certain weighted $BMO$ type spaces via the boundedness of variation operators associated with approximate identities and their commutators, respectively.

Classical Analysis and ODEs · Mathematics 2020-10-05 Weichao Guo , Yongming Wen , Huoxiong Wu , Dongyong Yang

In the bioinformatics field, there has been a growing interest in modelling dihedral angles of amino acids by viewing them as data on the torus. This has motivated, over the past years, new proposals of distributions on the bivariate torus.…

Methodology · Statistics 2020-09-01 Jose Ameijeiras-Alonso , Christophe Ley

In this note we study the Petty projection of a log-concave function, which has been recently introduced in [9]. Moreover, we present some new inequalities involving this new notion, partly complementing and correcting some results from…

Functional Analysis · Mathematics 2023-05-29 Leticia Alves da Silva , Bernardo González Merino , Rafael Villa

For subordinators with positive drift we extend recent results on the structure of the potential measures and the renewal densities. Applying Fourier analysis a new representation of the potential densities is derived from which we deduce…

Probability · Mathematics 2011-06-29 Leif Doering , Mladen Savov

Insurance risks data typically exhibit skewed behaviour. In this paper, we propose a Bayesian approach to capture the main features of these datasets. This work extends the methodology introduced in Villa and Walker (2014a) by considering…

Methodology · Statistics 2016-07-19 Fabrizio Leisen , Juan Miguel Marin , Cristiano Villa

Several new geometric quantile-based measures for multivariate dispersion, skewness, kurtosis, and spherical asymmetry are defined. These measures differ from existing measures, which use volumes and are easy to calculate. Some theoretical…

Statistics Theory · Mathematics 2024-12-30 Ha-Young Shin , Hee-Seok Oh

Starting with a choice of gauge algebras, specification of a 4d gauge theory involves additional data, namely the gauge groups and the discrete theta angles. Equivalently, one needs to specify the set of charges of allowed line operators.…

High Energy Physics - Theory · Physics 2015-06-17 Yuji Tachikawa