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We prove explicit upper bounds for weighted sums over prime numbers in arithmetic progressions with slowly varying weight functions. The results generalize the well-known Brun-Titchmarsh inequality.

Number Theory · Mathematics 2015-11-09 Jan Büthe

In this paper we rewrite the neutrino mixing angles and mass squared differences in matter given, in our original paper, in a notation that is more conventional for the reader. Replacing the usual neutrino mixing angles and mass squared…

High Energy Physics - Phenomenology · Physics 2018-06-26 Peter B. Denton , Hisakazu Minakata , Stephen J. Parke

The early history of neutrino masses, mixing and oscillations is briefly reviewed.

High Energy Physics - Phenomenology · Physics 2009-11-10 S. M. Bilenky

I review the basic ingredients of discretized gravity which motivate the introduction of Group Field Theory. Thus I describe the GFT formulation of some models and conclude with a few remarks on the emergence of noncommutative structures in…

High Energy Physics - Theory · Physics 2015-06-04 Patrizia Vitale

When using mixture models it may be the case that the modeller has a-priori beliefs or desires about what the components of the mixture should represent. For example, if a mixture of normal densities is to be fitted to some data, it may be…

Methodology · Statistics 2011-07-28 Matthew Sperrin

I discuss neutrino mixing ansatze, such as the generalized Tri-bimaximal and bi-large mixing patterns, and their utility in describing the oscillation data. Unitarity tests and probes of the absolute neutrino mass scale are briefly…

High Energy Physics - Phenomenology · Physics 2020-12-16 José W. F. Valle

As inelastic structures are ubiquitous in many engineering fields, a central task in computational mechanics is to develop accurate, robust and efficient tools for their analysis. Motivated by the poor performances exhibited by standard…

Numerical Analysis · Mathematics 2018-09-21 Nicola A. Nodargi

We prove in this note one weight norm inequalities for some positive Bergman-type operators.

Classical Analysis and ODEs · Mathematics 2019-02-26 Benoît F. Sehba

Robust Mixture Prior (RMP) is a popular Bayesian dynamic borrowing method, which combines an informative historical distribution with a less informative component (referred as robustification component) in a mixture prior to enhance the…

Methodology · Statistics 2026-03-18 Marco Ratta , Gaelle Saint-Hilary , Mauro Gasparini , Pavel Mozgunov

Mixture models are widely used in Bayesian statistics and machine learning, in particular in computational biology, natural language processing and many other fields. Variational inference, a technique for approximating intractable…

Statistics Theory · Mathematics 2020-08-03 Badr-Eddine Chérief-Abdellatif , Pierre Alquier

We discuss an Ansatz for the neutrino mixing matrix and speculate on the form and origin of the neutrino mass matrix.

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Zee

The purpose of this paper is to address some of the challenges of formally specifying components of shared-memory concurrent programs. The focus is to provide an abstract specification of a component that is suitable for use both by clients…

Programming Languages · Computer Science 2018-10-24 Ian J. Hayes

D. G. Higman generalized a coherent configuration and defined a weight. In this article, we will modify the definition and investigate weights on coherent configurations. If our weights are on a thin homogeneous coherent configuration, that…

Combinatorics · Mathematics 2025-12-16 Akihide Hanaki

Mixture transition distribution time series models build high-order dependence through a weighted combination of first-order transition densities for each one of a specified number of lags. We present a framework to construct stationary…

Methodology · Statistics 2025-02-25 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

Many methodologies have been proposed to quickly identify among a very large number of flight conditions and maneuvers (i.e., steady, quasi-steady and unsteady loads cases) the ones which give the worst values for structural sizing (e.g.,…

Computational Engineering, Finance, and Science · Computer Science 2018-11-16 Edouard Fournier , Stéphane Grihon , Christian Bes , Thierry Klein

In this paper, we consider pairs of a prime and a prime power with a fixed difference. We prove an average result on the distribution of such pairs. This is a partial improvement of the result of Bauer (1998).

Number Theory · Mathematics 2016-10-31 Yuta Suzuki

This paper is a review of heavy quarks in lattice gauge theory, focusing on methodology. It includes a status report on some of the calculations that are relevant to heavy-quark spectroscopy and to flavor physics.

High Energy Physics - Lattice · Physics 2008-11-26 Andreas S. Kronfeld

We review theoretical ideas, problems and implications of different models for neutrino masses and mixing angles. We give a general discussion of schemes with three or more light neutrinos. Several specific examples are analyzed in some…

High Energy Physics - Phenomenology · Physics 2009-07-09 Guido Altarelli , Ferruccio Feruglio

In this report, we aim to exemplify concentration inequalities and provide easy to understand proofs for it. Our focus is on the inequalities which are helpful in the design and analysis of machine learning algorithms.

Probability · Mathematics 2019-10-08 Kumar Abhishek , Sneha Maheshwari , Sujit Gujar

Physics of dielectric mixtures are presented to stimulate discussion and to provide information on the recent advances in this topic.

Other Condensed Matter · Physics 2013-04-23 Enis Tuncer