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We perform a stability analysis of a recently proposed sum rule for pion Compton scattering at fixed angle and moderate Mandelstam invariants. The sum rule is found to be sensitive to the parameter $\lambda^2$, the contour radius of a…

High Energy Physics - Phenomenology · Physics 2009-10-22 Claudio Coriano' , Hsiang-nan Li

We study the distribution regression problem assuming the distribution of distributions has a doubling measure larger than one. First, we explore the geometry of any distributions that has doubling measure larger than one and build a small…

Machine Learning · Computer Science 2022-03-02 Ilqar Ramazanli

In samples from a heavy-tailed distribution a second-order approximation is often use to approximate the tail function. Based on the parameters of the approximation, an optimal sample fraction can be estimated which is then used to estimate…

Statistics Theory · Mathematics 2016-12-15 J. Martin van Zyl

We introduce a stochastic model to explain a double power-law distribution which exhibits two different Paretian behaviors in the upper and the lower tail and widely exists in social and economic systems. The model incorporates fitness…

Physics and Society · Physics 2011-04-25 D. D. Han , J. H. Qian , Y. G. Ma

Signature kinematic variables and characteristic concentrations in phase space of double parton scattering are discussed. These properties should allow the double parton contribution to $pp \rightarrow b \bar{b} \rm {jet jet} X$ at Large…

High Energy Physics - Phenomenology · Physics 2011-06-02 Edmond L. Berger

Double parton scattering is sensitive to correlations between the two partons in the hadron, including correlations in flavor, spin, color, momentum fractions and transverse separation. We obtain a first estimate of the size of these…

High Energy Physics - Phenomenology · Physics 2013-02-12 Hsi-Ming Chang , Aneesh V. Manohar , Wouter J. Waalewijn

We use a large single particle tracking data set to analyze the short time and small spatial scale motion of quantum dots labeling proteins in cell membranes. Our analysis focuses on the jumps which are the changes in the position of the…

Quantitative Methods · Quantitative Biology 2015-01-08 Flor A. Espinoza , Stanly L. Steinberg

We propose a formalism for calculating the event cross-section of parton interactions. In this formalism, we use the light-front bound-state wave function to expand scattering initial state. This leads to an expression of the cross-section…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hung Hsiang Liu

Recent CDF measurements of the inclusive cross section for a double parton scattering attach a great importance to any theoretical calculations of two-particle distribution functions. Using a parton interpretation of the leading logarithm…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. M. Snigirev

In this paper we establish a multivariate exchangeable pairs approach within the framework of Stein's method to assess distributional distances to potentially singular multivariate normal distributions. By extending the statistics into a…

Probability · Mathematics 2010-04-06 Gesine Reinert , Adrian Röllin

The effective cross section of double parton scattering in high-energy hadron collisions has been measured in proton--proton collisions, with significant variation among final-state observables, contrary to the idea of a universal value.…

High Energy Physics - Phenomenology · Physics 2026-05-14 Joao Vitor C. Lovato , Edgar Huayra , Emmanuel G. de Oliveira

We extend QCD sum rule analysis to moderate energy fixed angle Compton scattering. In this kinematic region there is a strong similarity to the sum rule treatment of electromagnetic form factors, although the four-point amplitude requires a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano' , Anatoly Radyushkin , George Sterman

We consider a model applicable in many communication systems where the sum of n stochastic sinusoidal signals of the same frequency, but with random amplitudes as well as phase angles is present. The exact probability distribution of the…

Information Theory · Computer Science 2019-11-13 Y. Maghsoodi , A. Al-Dweik

Computing the similarity between two probability distributions is a recurring theme across control. We introduce a unified family of distances between the probability distributions of two random variables that is based on the discrepancy…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Alexandros E. Tzikas , Arec Jamgochian , Nazim Kemal Ure , Mykel J. Kochenderfer , Stephen P. Boyd

This paper investigates the problem of distributed stochastic approximation in multi-agent systems. The algorithm under study consists of two steps: a local stochastic approximation step and a diffusion step which drives the network to a…

Multiagent Systems · Computer Science 2014-10-28 Gemma Morral , Pascal Bianchi , Gersende Fort

We describe the gluon parton distribution function (PDF) in the proton, deduced by data from the ATLAS and HERA experiments, in the framework of the parton statistical model. The best fit parameters involved in the Planck formula that…

High Energy Physics - Phenomenology · Physics 2023-07-12 Loredana Bellantuono , Roberto Bellotti , Franco Buccella

We show that double parton distributions, which are important in describing double parton scattering processes in hadron collisions, can be directly computed from correlations of equal-time nonlocal Euclidean operators on the lattice in the…

High Energy Physics - Phenomenology · Physics 2023-05-12 Jian-Hui Zhang

We briefly recall the main physical features of the parton distributions in the quantum statistical picture of the nucleon. Some predictions from a next-to-leading order QCD analysis are successfully compared to recent unpolarized and…

High Energy Physics - Phenomenology · Physics 2011-12-02 Jacques Soffer

A finite dimensional abstract approximation and convergence theory is developed for estimation of the distribution of random parameters in infinite dimensional discrete time linear systems with dynamics described by regularly dissipative…

Optimization and Control · Mathematics 2019-03-15 Melike Sirlanci , Susan E. Luczak , I. Gary Rosen

Every sufficiently big matrix with small spectral norm has a nearby low-rank matrix if the distance is measured in the maximum norm (Udell & Townsend, SIAM J Math Data Sci, 2019). We use the Hanson--Wright inequality to improve the estimate…

Numerical Analysis · Mathematics 2025-04-09 Stanislav Budzinskiy