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In this paper we introduce new estimators of the coefficient functions in the varying coefficient regression model. The proposed estimators are obtained by projecting the vector of the full-dimensional kernel-weighted local polynomial…

统计理论 · 数学 2012-03-05 Young K. Lee , Enno Mammen , Byeong U. Park

The scaling dimensions of charged operators in conformal field theory have recently been predicted to exhibit universal behavior in the large charge limit. We verify this behavior in the 2+1 dimensional CPN model. Specifically, we…

高能物理 - 理论 · 物理学 2018-08-13 Anton de la Fuente

The SU(3) octet SS-PP correlator and the difference of the singlet and octet scalar correlators are computed within Resonance Chiral Theory. The calculation is carried on up to the one-loop level, i.e., up to next-to-leading order in the…

高能物理 - 唯象学 · 物理学 2011-02-15 J. J. Sanz-Cillero

This note presents absolute bounds on the size of the coefficients of the characteristic and minimal polynomials depending on the size of the coefficients of the associated matrix. Moreover, we present algorithms to compute more precise…

符号计算 · 计算机科学 2011-11-10 Jean-Guillaume Dumas

A non-trivial consequence of the super-correlator/super-amplitude duality is that the integrand of the four-point correlation function of stress-tensor multiplets in planar N=4 super Yang-Mills contains a certain combination of n-point…

高能物理 - 理论 · 物理学 2018-08-01 Paul Heslop , Vuong-Viet Tran

The near-threshold expansion of the $\pi \pi$ amplitude is developed using the crossing-covariant independent variables. The independent threshold parameters entering the real part of the amplitude in an explicitly Lorentz-invariant way are…

高能物理 - 唯象学 · 物理学 2007-05-23 A. A. Bolokhov , T. A. Bolokhov , I. S. Manida , M. V. Polyakov , S. G. Sherman

It is well known that perturbative pressure calculations show poor convergence. Calculations using a two particle irreducible (2PI) effective action show improved convergence at the 3 loop level, but no calculations have been done at 4…

高能物理 - 理论 · 物理学 2016-07-20 M. E. Carrington , B. A. Meggison , D. Pickering

In this article, a model of random hermitian matrices is considered, in which the measure $\exp(-S)$ contains a general U(N)-invariant potential and an external source term: $S=N\tr(V(M)+MA)$. The generalization of known determinant…

凝聚态物理 · 物理学 2009-10-30 P. Zinn-Justin

Monte-Carlo simulations are routinely used for estimating the scaling exponents of complex systems. However, due to finite-size effects, determining the exponent values is often difficult and not reliable. Here we present a novel technique…

计算物理 · 物理学 2013-03-05 Indrek Mandre , Jaan Kalda

An approximation to the many-body London dispersion energy in molecular systems is expressed as a functional of the occupied orbitals only. The method is based on the local-RPA theory. The occupied orbitals are localized molecular orbitals…

化学物理 · 物理学 2015-12-25 Bastien Mussard , Janos Angyan

We present a fast method for estimating the cosmic microwave background polarization power spectra using unbiased estimates of heuristically-weighted correlation functions. This extends the O(N_pix^(3/2)) method of Szapudi et al. (2001) to…

天体物理学 · 物理学 2009-11-07 Gayoung Chon , Anthony Challinor , Simon Prunet , Eric Hivon , Istvan Szapudi

The usual strategy for deducing the $\pi\mbox{--}\pi^\ast$ electronic energy (or optical bandgap) in a molecule with an "infinite" number of conjugated double bonds consists in fitting a function with some adjustable parameters to the…

材料科学 · 物理学 2015-12-18 K. Razi Naqvi

We consider the response of a multicomponent body to $n$ fields, such as electric fields, magnetic fields, temperature gradients, concentration gradients, etc., where each component, which is possibly anisotropic, may cross couple the…

材料科学 · 物理学 2016-02-23 Mordehai Milgrom , Graeme W. Milton

The calculation of the characteristic function of the signal fluctuations due to clustered astrophysical sources is performed in this paper. For the typical case of power-law differential number counts and two-point angular correlation…

宇宙学与河外天体物理 · 物理学 2019-07-10 Francisco Argüeso , Diego Herranz , Luigi Toffolatti , Joaquín González-Nuevo

We investigate numerically the transverse and longitudinal correlation lengths of the three-dimensional O(4) model as a function of the external field H. From our data we calculate the scaling function of the transverse correlation length,…

高能物理 - 格点 · 物理学 2015-06-25 J. Engels , L. Fromme , M. Seniuch

The analysis of all published results on electrons and holes impact ionization coefficients in 4H-SiC at 300K have been performed. It is shown that the most plausible approximation of dependencies $\alpha_{n,p}$ on the electric field…

其他凝聚态物理 · 物理学 2016-05-04 A. S. Kyuregyan

In this article, we examine the Poissonian pair correlation (PPC) statistic for higher-dimensional real sequences. Specifically, we demonstrate that for $d\geq 3$, almost all $(\alpha_1,\ldots,\alpha_d) \in \mathbb{R}^d$, the sequence…

数论 · 数学 2024-07-25 Tanmoy Bera , Mithun Kumar Das , Anirban Mukhopadhyay

Standard maximum likelihood estimation cannot be applied to discrete energy-based models in the general case because the computation of exact model probabilities is intractable. Recent research has seen the proposal of several new…

机器学习 · 计算机科学 2012-02-20 Benjamin Marlin , Nando de Freitas

In QM/MM indirect free energy simulation, QM/MM corrections can be obtained from integration of partial derivatives of alchemical Hamiltonians or from perturbation-based estimators including free energy perturbation (FEP) and acceptance…

化学物理 · 物理学 2018-10-05 Xiaohui Wang , Zhaoxi Sun

Pade Approximants can be used to go beyond Vector Meson Dominance in a systematic approximation. We illustrate this fact with the case of the pion vector form factor and extract values for the first two coefficients of its Taylor expansion.…

高能物理 - 唯象学 · 物理学 2008-11-26 P. Masjuan , S. Peris , J. J. Sanz-Cillero