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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

In this summary we give a concise overview of the experimental and theoretical results, which were presented during the QCD and Hadronic Final State Working Group sessions at the DIS 2007 workshop.

High Energy Physics - Phenomenology · Physics 2011-11-10 Duncan Brown , Daniel Traynor , Alexander Savin , Giulia Zanderighi

We have initiated a programme to compute the lower moments of the unpolarised and polarised deep inelastic structure functions of the nucleon in the quenched approximation. We review our progress to date.

High Energy Physics - Lattice · Physics 2008-11-26 M. Goeckeler , R. Horsley , M. Ilgenfritz , H. Perlt , P. Rakow , G. Schierholz , A. Schiller

These lecture notes explain the construction and basic properties of the wonderful compactification of a complex semisimple group of adjoint type. An appendix discusses the more general case of a semisimple symmetric space.

Algebraic Geometry · Mathematics 2008-01-04 Sam Evens , Benjamin F Jones

These short notes are meant as a quick reference for the construction of SLR(1), of LR(1), and of LALR(1) parsing tables.

Formal Languages and Automata Theory · Computer Science 2018-11-26 Paola Quaglia

A new construction of Euler-Poincar\'e functions for real reductive groups is given. This construction also works for non-connected groups and representations that do not lift.

Representation Theory · Mathematics 2007-05-23 Anton Deitmar

The NLO generalization of the dipole factorization formula for the structure functions F_2 and F_L at low x is calculated using light front perturbation theory. That result gives some interesting insight into the kinematics of initial state…

High Energy Physics - Phenomenology · Physics 2012-03-13 Guillaume Beuf

This paper has been withdrawn by the author. The content of the previous versions is now covered by the more recent papers - math.DG/0610252 (concerning the Lie group structuren on the gauge groups) - math.DG/0612522 (concerning the weak…

Mathematical Physics · Physics 2009-09-29 Christoph Wockel

The longitudinal structure function for nucleons and nuclei is considered at fixed $\sqrt{s}$ and $Q^2$ to the minimum value of $x$ given by $Q^2/s$. This is done using the expansion method and color dipole model in the next-to-leading…

High Energy Physics - Phenomenology · Physics 2025-10-21 G. R. Boroun

This paper discusses some topics of enquiry concerning fractals, functions on them, and so on.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

I discuss the problem of computing the structure functions for very heavy nuclei at small Bjorken x. The approximations used in this description are physically motivated, and recent computations reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 L. McLerran

Many examples of zeta functions in number theory and combinatorics are special cases of a construction in homotopy theory known as a decomposition space. This article aims to introduce number theorists to the relevant concepts in homotopy…

Number Theory · Mathematics 2023-10-23 Andrew Kobin

The purpose of this paper is to survey the structure of closed and transitive transformation groups acting on a closed surface. In particular, we prove a number of relations between groups acting on the sphere that contain the rotation…

Geometric Topology · Mathematics 2015-03-04 Ferry Kwakkel

In this note we study the finite groups whose subgroup lattices are dismantlable.

Group Theory · Mathematics 2015-02-18 Marius Tarnauceanu

The structure properties of multidimensional Delsarte transmutation operators in parametirc functional spaces are studied by means of differential-geometric tools. It is shown that kernels of the corresponding integral operator expressions…

Mathematical Physics · Physics 2007-05-23 J. Golenia , Y. A. Prykarpatsky , A. M. Samoilenko , A. K. Prykarpatsky

Motivated by Quantum Mechanics considerations, we expose some cross product constructions on a groupoid structure. Furthermore, critical remarks are made on some basic formal aspects of the Hopf algebra structure.

General Physics · Physics 2011-05-25 Giuseppe Iurato

We present a new approach to semi-inclusive hard processes in QCD by means of $\it Fracture\;Functions$, hybrids between structure and fragmentation functions. We briefly motivate and describe it together with a list of possible…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Trentadue

The status of and ongoing developments in the measurements and theoretical studies of the structure of the photon have been presented at the PHOTON 2001 conference in Ascona. The results presented in the structure function session are…

High Energy Physics - Experiment · Physics 2017-08-23 Richard Nisius

In this paper we develop the functional calculus for elliptic operators on compact Lie groups without the assumption that the operator is a classical pseudo-differential operator. Consequently, we provide a symbolic descriptions of complex…

Functional Analysis · Mathematics 2014-05-15 Michael Ruzhansky , Jens Wirth

This paper studies properties of entropy functions that are induced by groups and subgroups. We showed that many information theoretic properties of those group induced entropy functions also have corresponding group theoretic…

Information Theory · Computer Science 2007-07-13 Terence H. Chan