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A new functional form for the exchange enhancement in the generalized gradient approximation within density functional theory is given. The functional form satisfies the constraints used to construct the Perdew-Burke-Ernzerhof (PBE)…

Materials Science · Physics 2009-11-11 Georg K. H. Madsen

A method is developed for analysing asymptotic behaviour of terms involving an arbitrary integer order powers of L p functions by means of H-measures. It is applied to the small amplitude homogenisation problem for a stationary diffusion…

Analysis of PDEs · Mathematics 2016-01-27 Martin Lazar

We give a detailed account of the Hamiltonian GNH analysis of the parametrized unimodular extension of the Holst action. The purpose of the paper is to derive, through the clear geometric picture furnished by the GNH method, a simple…

General Relativity and Quantum Cosmology · Physics 2021-05-06 J. Fernando Barbero G. , Bogar Díaz , Juan Margalef-Bentabol , Eduardo J. S. Villaseñor

We introduce an expansion scheme in reproducing kernel Hilbert spaces, which as a special case covers the celebrated Blaschke unwinding series expansion for analytic functions. The expansion scheme is further generalized to cover Hardy…

Functional Analysis · Mathematics 2023-10-03 Javad Mashreghi , William Verreault

Modern probabilistic regressors often remain overconfident under distribution shift. Functional Distribution Networks (FDN) place input-conditioned distributions over network weights, producing predictive mixtures whose dispersion adapts to…

Machine Learning · Computer Science 2026-02-03 Omer Haq

Cross-section distributions are calculated for the reaction $e^+ e^- \rightarrow J/\psi\rightarrow \bar{\Lambda}(\rightarrow \bar{p}\pi^+) \Lambda(\rightarrow p\pi^-)$, and related annihilation reactions mediated by vector mesons. The…

High Energy Physics - Phenomenology · Physics 2017-06-14 Göran Fäldt , Andrzej Kupsc

We present a new extraction of unpolarized Dihadron Fragmentation Functions, which describe the probability density for an unpolarized parton to fragment into a $\pi^+ \pi^-$ pair. Our analysis is based on data from the BELLE collaboration.…

High Energy Physics - Phenomenology · Physics 2025-09-16 Virgile Mahaut , Luca Polano , Alessandro Bacchetta , Valerio Bertone , Matteo Cerutti , Marco Radici , Lorenzo Rossi

This work considers the subdiffusion problem with non-positive memory, which not only arises from physical laws with memory, but could be transformed from sophisticated models such as subdiffusion or subdiffusive Fokker-Planck equation with…

Numerical Analysis · Mathematics 2025-05-09 Wenlin Qiu , Xiangcheng Zheng

Expansions over Legendre functions are suggested as a model-independent way of compact presentation of modern precise and high-statistics data for two-hadron reactions. Some properties of the expansions are described.

High Energy Physics - Phenomenology · Physics 2016-11-01 Ya. I. Azimov

The diagram technique for the one-band Hubbard model is formulated for the case of moderate to strong Hubbard repulsion. The expansion in powers of the hopping constant is expressed in terms of site cumulants of electron creation and…

Strongly Correlated Electrons · Physics 2007-05-23 A. Sherman

While exploiting the generalized Parseval equality for the Mellin transform, we derive the reciprocal inverse operator in the weighted L_2-space related to the Hilbert transform on the nonnegative half-axis. Moreover, employing the…

Classical Analysis and ODEs · Mathematics 2013-12-09 Semyon Yakubovich

The randomized $p$-value, (nonrandomized) mid-$p$-value and abstract randomized $p$-value have all been recommended for testing a null hypothesis whenever the test statistic has a discrete distribution. This paper provides a unifying…

Computation · Statistics 2014-12-02 Joshua D Habiger

The generalized negative binomial distribution (GNB) is a new flexible family of discrete distributions that are mixed Poisson laws with the mixing generalized gamma (GG) distributions. This family of discrete distributions is very wide and…

Methodology · Statistics 2018-09-18 Andrey K. Gorshenin , Victor Yu. Korolev

The polarization of $\Lambda_b$ baryon has been measured in ALEPH, OPAL and DELPHI experiments. A significant loss on the transfer of the $b$ quark polarization to the $\Lambda_b$ baryon polarization has been noticed. This implies that the…

High Energy Physics - Phenomenology · Physics 2011-01-25 Tsung-Wen Yeh

Meta-analytic methods may be used to combine evidence from different sources of information. Quite commonly, the normal-normal hierarchical model (NNHM) including a random-effect to account for between-study heterogeneity is utilized for…

Methodology · Statistics 2020-02-25 Christian Röver , Tim Friede

The modified Bessel function of the first kind, $I_{\nu}(x)$, arises in numerous areas of study, such as physics, signal processing, probability, statistics, etc. As such, there has been much interest in recent years in deducing properties…

Probability · Mathematics 2013-11-07 Prakash Balachandran , Weston Viles , Eric D. Kolaczyk

A pure birth stochastic process with several initial conditions is considered.We analyze multiplicity distributions of e^+e^- collisions and e-p collisions, usigthe Modified Negative Binomial Distribution (MNBD) and the Laguerre-type…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Biyajima , T. Osada , K. Takei

In this work we show that the latest LHC data on multiplicity moments $C_2-C_5$ are well described by a two-step model in the form of a convolution of the Poisson distribution with energy-dependent source function. For the source function…

High Energy Physics - Phenomenology · Physics 2011-10-18 Michal Praszalowicz

Using a method mixing Mellin-Barnes representation and Borel resummation we show how to obtain hyperasymptotic expansions from the (divergent) formal power series which follow from the perturbative evaluation of arbitrary "$N$-point"…

High Energy Physics - Theory · Physics 2014-11-20 Samuel Friot , David Greynat

Hypothesis testing results often rely on simple, yet important assumptions about the behaviour of the distribution of p-values under the null and the alternative. We examine tests for one dimensional parameters of interest that converge to…

Statistics Theory · Mathematics 2021-08-06 Yanbo Tang , Radu Craiu , Lei Sun