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A brief review of the modern QCD theory of diffractive DIS is given.

High Energy Physics - Phenomenology · Physics 2017-08-23 N. N. Nikolaev

Infrared evolution equations for small-$x$ behaviour of the non-singlet structure functions $f_1^{NS}$ and $g_1^{NS}$ are obtained and solved in the next-to-leading approximation, to all orders in $\alpha_s$, and including running…

High Energy Physics - Phenomenology · Physics 2010-03-25 B. I. Ermolaev , M. Greco , S. I. Troyan

This paper examines the relationship between gestures' function and form in design collaboration. It adopts a cognitive design research viewpoint. The analysis is restricted to gesticulations and emblems. The data analysed come from an…

Human-Computer Interaction · Computer Science 2010-10-14 Willemien Visser

A review on the theoretical aspects and the experimental results of polarized deep inelastic scattering and of other hard scattering processes is presented. The following items are discussed: longitudinally polarized structure functions,…

High Energy Physics - Phenomenology · Physics 2011-01-25 Bodo Lampe , Ewald Reya

We review some of the basic mathematical results about density functional theory.

Mathematical Physics · Physics 2023-04-12 Heinz Siedentop

Recent progress in the field of spin physics of high energy particle interactions is reviewed with particular emphasis on the spin structure functions as measured in polarized deep inelastic lepton-nucleon scattering (DIS). New measurements…

High Energy Physics - Experiment · Physics 2011-07-19 Uta Stosslein

In this paper, we study shape functions depending on closed submanifolds. We prove a new structure theorem that establishes the general structure of the shape derivative for this type of shape function. As a special case we obtain the…

Optimization and Control · Mathematics 2016-04-19 K. Sturm

I discuss and connect a number of topics in small-x physics at HERA and at LHC, pointing out recent progress and open questions in theory and phenomenology.

High Energy Physics - Phenomenology · Physics 2008-08-08 Markus Diehl

Shadowing corrections to structure functions of heavy nuclei are calculated at very low values of Bjorken-$x$ and at values of the momentum transfer relevant to recent experiments. Good agreement is obtained with data from the E665…

Nuclear Theory · Physics 2008-11-26 W. Melnitchouk , A. W. Thomas

The small-x behavior of structure functions in the saturation region is determined by the non-linear generalization of the BFKL equation. I suggest the effective field theory for the small-x evolution which solves formally this equation.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ian Balitsky

These notes derive a number of technical results on nonlinear contraction theory, a comparatively recent tool for system stability analysis. In particular, they provide new results on the preservation of contraction through system…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Nicolas Tabareau , Jean-Jacques Slotine

After briefly explaining the idea of photon structure functions (\f2gam\ , \flgam) I review the current theoretical and experimental developements in the subject of extraction of \qvph\ from a study of the Deep Inelastic Scattering (DIS). I…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rohini M. Godbole

We summarize the theory talks given in Working Group 4 `Polarized Lepton Nucleon Scattering' at the DIS 99 workshop. The significant progress made over the last year on many of the interesting topics in `spin physics' is documented.

High Energy Physics - Phenomenology · Physics 2008-11-26 W. Vogelsang

In this short survey article, we showcase a number of non-trivial geometric problems that have recently been resolved by marrying methods from functional calculus and real-variable harmonic analysis. We give a brief description of these…

Differential Geometry · Mathematics 2019-09-18 Lashi Bandara

A short summary of main results of theoretical talks presented at XXIX International Symposium on Multiparticle Dynamics is given.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Kaidalov

The Searches Working Group discussed a variety of topics relating to present and future measurements of searches at LEP 2. The individual contributions are included separately.

An extraction of the longitudinal proton structure function FL(x,Q2) from H1 data at low Q2 (about 1 GeV2) and low Bjorken x (about 0.00005) is reported. The analysis is based on the data collected in a dedicated low Q2 running period in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ewelina Maria Lobodzinska

In \cite{X-Z DCS1}, we introduced discrete conformal structures on surfaces with boundary via an axiomatic framework, and provided a classification of such discrete conformal structures. The present work focuses on the rigidity and…

Differential Geometry · Mathematics 2025-07-25 Xu Xu , Chao Zheng

This note deals with certain properties of convex functions. We provide results on the convexity of the set of minima of these functions, the behaviour of their subgradient set under restriction, and optimization of these functions over an…

Optimization and Control · Mathematics 2017-03-21 Miel Sharf , Daniel Zelazo

In this paper, we consider detecting and estimating breaks in heterogeneous mean functions of high-dimensional functional time series which are allowed to be cross-sectionally correlated and temporally dependent. A new test statistic…

Methodology · Statistics 2023-04-17 Degui Li , Runze Li , Han Lin Shang
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