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This work is a study of polynomial compositions having a fixed number of terms. We outline a recursive method to describe these characterizations, give some particular results and discuss the general case. In the final sections, some…

Number Theory · Mathematics 2021-09-21 Alessio Moscariello

This proceedings contribution gives a brief introduction to the theoretical description of double parton scattering and discusses several open problems.

High Energy Physics - Phenomenology · Physics 2015-06-23 Markus Diehl

We generalize the weighted cumulative entropies (WCRE and WCE), introduced in [5], for a system or component lifetime. Representing properties of cumulative entropies, several bounds and inequalities for the WCRE is proposed

Information Theory · Computer Science 2015-07-28 Yuri Suhov , Salimeh Yasaei Sekeh

We extend the author's formula (2011) of weighted counting of inversions on permutations to the one on alternating sign matrices. The proof is based on the sequential construction of alternating sign matrices from the unit matrix recently…

Combinatorics · Mathematics 2019-11-21 Masato Kobayashi

In this work, we determine new linear equations for the weight distribution of linear codes over finite chain rings. The identities are determined by counting the number of some special submatrices of the parity-check matrix of the code.…

Information Theory · Computer Science 2022-10-31 Giulia Cavicchioni , Alessio Meneghetti

While mixtures of Gaussian distributions have been studied for more than a century (Pearson, 1894), the construction of a reference Bayesian analysis of those models still remains unsolved, with a general prohibition of the usage of…

Methodology · Statistics 2017-08-01 Kaniav Kamary , Jeong Eun Lee , Christian P. Robert

An explicit formula for a weight enumerator of linear-congruence codes is provided. This extends the work of Bibak and Milenkovic [IEEE ISIT (2018) 431-435] addressing the binary case to the non-binary case. Furthermore, the extension…

Information Theory · Computer Science 2020-10-05 Taro Sakurai

A recollection of some theoretical developments that preceded and followed the first formulation of supergravity theory is presented. Special emphasis is placed on the impact of supergravity on the search for a unified theory of fundamental…

High Energy Physics - Theory · Physics 2007-05-23 Sergio Ferrara

Estimates of some integrals related to variations of smooth functions are presented.

Classical Analysis and ODEs · Mathematics 2014-06-24 Anatoly Neishtadt

We prove the sharp weighted-$L^2$ bounds for the strong-sparse operators introduced in \cite{KaragulyanM}. The main contribution of the paper is the construction of a weight that is a lacunary mixture of dual power weights. This weights…

Classical Analysis and ODEs · Mathematics 2021-12-07 Gevorg Mnatsakanyan

We compare parton densities for heavy quarks.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Smith

The upcoming operation regimes of the Large Hadron Collider are going to place stronger requirements on the rejection of particles originating from pileup, i.e. from interactions between other protons. For this reason, particle weighting…

High Energy Physics - Phenomenology · Physics 2016-01-19 Federico Colecchia

Mixture distributions are extensively used as a modeling tool in diverse areas from machine learning to communications engineering to physics, and obtaining bounds on the entropy of probability distributions is of fundamental importance in…

Information Theory · Computer Science 2022-12-05 James Melbourne , Saurav Talukdar , Shreyas Bhaban , Mokshay Madiman , Murti V. Salapaka

This paper proposes solutions to three issues pertaining to the estimation of finite mixture models with an unknown number of components: the non-identifiability induced by overfitting the number of components, the mixing limitations of…

Methodology · Statistics 2015-08-25 Zoe van Havre , Nicole White , Judith Rousseau , Kerrie Mengersen

There is a nice combinatorial formula of P. Beelen and M. Datta for the $r$-th generalized Hamming weight of an affine cartesian code. Using this combinatorial formula we give an easy to evaluate formula to compute the $r$-th generalized…

Commutative Algebra · Mathematics 2020-09-10 Manuel Gonzalez-Sarabia , Delio Jaramillo , Rafael H. Villarreal

This paper considers discrete and continuous semigroups of (weighted) composition operators on the Fock space. For discrete semigroups consisting of powers of a single operator, the asymptotic behaviour of the semigroups is analysed. For…

Functional Analysis · Mathematics 2022-06-02 I. Chalendar , J. R. Partington

The paper is devoted to well-posedness analysis and the numerical solution of a family of general elliptic mixed variational-hemivariational inequalities. Various mixed variational equations, mixed variational inequalities and mixed…

Numerical Analysis · Mathematics 2026-02-03 Weimin Han , Jianguo Huang , Yuan Yao

Forecasting is an indispensable element of operational research (OR) and an important aid to planning. The accurate estimation of the forecast uncertainty facilitates several operations management activities, predominantly in supporting…

Methodology · Statistics 2020-11-18 Xiaoqian Wang , Yanfei Kang , Fotios Petropoulos , Feng Li

In the recent years neutrino experiments have studied in detail the phenomenon of neutrino oscillations and most of the oscillation parameters have been measured with a good accuracy. However, in spite of many interesting ideas, the problem…

High Energy Physics - Phenomenology · Physics 2017-10-06 Davide Meloni

In this paper, we introduce first the mixed affine quermassintegrals. The Aleksandrov-Fenchel inequality for the mixed affine quermassintegrals is established. As an application, the Minkowski, Brunn-Minkowski inequalities for the mixed…

Metric Geometry · Mathematics 2020-09-07 Chang-Jian Zhao
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