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The theory of deep inelastic scattering structure functions is reviewed with an emphasis put on the QCD expectations of their behaviour in the region of small values of the Bjorken parameter $x$.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Kwiecinski

We report on the design, fabrication, and testing of ferroelectric patterned materials in the guided-wave and polaritonic regime. We demonstrate their functionality and exploit polariton confinement for amplification and coherent control…

In this talk I review the behaviour of structure functions at low values of Bjorken $x$ and discuss the theoretical underpinnings with particular attention to resummation schemes. I present the need for 'less inclusive' events to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Rahul Basu

We summarize recent experimental and theoretical results, which were reported in the working group on Structure Functions and Low-x at the DIS 2007 workshop.

High Energy Physics - Phenomenology · Physics 2007-07-31 A. Glazov , S. Moch , K. Nagano

Using a simple picture of the constituent quark as a composite system of point-like partons, we construct the polarized parton distributions by a convolution between constituent quark momentum distributions and constituent quark structure…

High Energy Physics - Phenomenology · Physics 2011-07-19 Sergio Scopetta , Vicente Vento , Marco Traini

We investigate the relations between the spin structure functions in the scaling and resonance regions. We examine the possible duality between the two, and draw inferences for the behavior of the asymmetry A_1 at large x. Finally, we point…

High Energy Physics - Phenomenology · Physics 2009-10-31 Carl E. Carlson , Nimai C. Mukhopadhyay

A complex-analytic structure within the unit disk of the complex plane is presented. It can be used to represent and analyze a large class of real functions. It is shown that any integrable real function can be obtained by means of the…

Complex Variables · Mathematics 2019-02-19 Jorge L. deLyra

This paper presents a detailed symbolic approach to the study of self-similar tilings. It uses properties of addresses associated with graph-directed iterated function systems to establish conjugacy properties of tiling spaces. Tiles may be…

Dynamical Systems · Mathematics 2020-11-30 Michael F. Barnsley , Louisa F. Barnsley , Andrew Vince

We give a short survey on plurisubharmonic interpolation, with focus on possibility of connecting two given plurisubharmonic functions by plurisubharmonic geodesic.

Complex Variables · Mathematics 2023-07-07 Alexander Rashkovskii

In this paper we suggest how the mathematical concept of hyperstructures may be a useful tool in the study of the higher, hierachical structure of languages.

General Mathematics · Mathematics 2018-06-15 Nils A. Baas

We study a functorial construction from the category of monoids to the category of set-operads and we give some combinatorial examples of applications.

Combinatorics · Mathematics 2012-08-07 Samuele Giraudo

This is the text of an introductory lecture delivered at the IHES summer school on motives in July, 2006.

Algebraic Geometry · Mathematics 2007-10-30 Minhyong Kim

A survey is given of recent developments on the resummed small-$x$ evolution, in a framework based on the renormalization group equation, of non--singlet and singlet structure functions in both unpolarized and polarized deep--inelastic…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Blümlein , S. Riemersma , A. Vogt

Exponential-constructible functions are an extension of the class of constructible functions. This extension was formulated by Cluckers-Loeser in the context of semi-algebraic and sub-analytic structures, when they studied stability under…

Logic · Mathematics 2018-02-26 Saskia Chambille , Pablo Cubides Kovacsics , Eva Leenknegt

This paper presents the basic ideas and properties of elliptic functions and elliptic integrals as an expository essay. It explores some of their numerous consequences and includes applications to some problems such as the simple pendulum,…

Complex Variables · Mathematics 2007-07-10 A. Lesfari

We employ the notions of `sequential function' and `interrogation' (dialogue) in order to define new partial combinatory algebra structures on sets of functions. These structures are analyzed using J. Longley's preorder-enriched category of…

Logic · Mathematics 2009-05-19 Jaap van Oosten

Traditional mathematical notation can lead to confusion. Expressions that appear to define composite functions sometimes do not. A particular example with engineering applications is studied in detail.

History and Overview · Mathematics 2016-01-21 Harold P. Boas

A series of physically motivated operations appearing in the study of composite materials are interpreted in terms of elementary continued fraction transforms of matrix valued, rational Stieltjes functions.

Mathematical Physics · Physics 2022-11-21 Graeme W. Milton , Mihai Putinar

In this expository article I describe classical results in the combinatorics of parking functions. Its English-Spanish translation is included. -- -- En este art\'iculo de difusi\'on matem\'atica describo resultados cl\'asicos en la…

History and Overview · Mathematics 2024-04-25 J. Carlos Martínez Mori

The paper studies complementary choice functions, i.e. monotonic and consistent choice functions. Such choice functions were introduced and used in the work \cite{RY} for investigation of matchings with complementary contracts. Three…

Combinatorics · Mathematics 2022-09-15 Vladimir Danilov
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