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An elementary approach to the construction of Coxeter group representations is presented.

Representation Theory · Mathematics 2007-05-23 Ron M. Adin , Francesco Brenti , Yuval Roichman

We present the results of a NNLO QCD analysis of the World data on unpolarized DIS Non-Singlet Structure functions.

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Blümlein , H. Böttcher , A. Guffanti

We present a selection of results contributing to a structure theory of totally disconnected locally compact groups.

Group Theory · Mathematics 2021-10-13 Pierre-Emmanuel Caprace , George A. Willis

A brief review of the construction and classifiaction of the bicovariant differential calculi on quantum groups is given.

High Energy Physics - Theory · Physics 2007-05-23 B. Jurco

We present a diagram surveying equivalence or strict implication for properties of different nature (algebraic, model theoretic, topological, etc.) about groups definable in o-minimal structures. All results are well-known and an extensive…

Logic · Mathematics 2020-10-29 Annalisa Conversano

We summarize the main results of the spin physics Working Group Session of DIS 2007, the 15th International Workshop on ``Deep-Inelastic Scattering and Related Subjects''.

High Energy Physics - Phenomenology · Physics 2011-11-10 Daniel Boer , Delia Hasch , Gerhard Mallot

Subaddivity type matrix inequalities for concave funcions and symetric norms are given.

Functional Analysis · Mathematics 2008-04-08 Jean-Christophe Bourin , Eun-Young Lee

In the framework of conventional Regge theory we present a common description of total photon-proton cross-section and proton structure functions in the region $0 \leq Q^2 \leq 5 \ {\rm GeV}^2$. Using it as an initial condition in the…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Capella , A. Kaidalov , C. Merino , J. Tran Thanh Van

We comment on the uniqueness of t-evolution$(t=log(Q^2/\Lambda^2))$ of non-singlet structure functions at low x obtained fromDGLAP equations.

High Energy Physics - Phenomenology · Physics 2007-05-23 D K Choudhury , Atri Deshamukhya

We have shown that the relationship between the DIS structure functions is stable for a nuclear target with mass number A at $x{\leq}10^{-3}$. Numerical results are provided for the specific nuclei 12C and 208Pb using the nuclear PDF…

High Energy Physics - Phenomenology · Physics 2025-08-05 G. R. Boroun

This is a survey on rigidity and geometrization results obtained with the help of the discrete Hilbert-Einstein functional, written for the proceedings of the "Discrete Curvature" colloquium in Luminy.

Metric Geometry · Mathematics 2013-12-24 Ivan Izmestiev

In this work, we exploit the operator content of the $(D_{4}, A_{6})$ conformal algebra. By constructing a $Z_{2}$-invariants fusion rules of a chosen subalgebra and by resolving the bootstrap equations consistent with these rules, we…

High Energy Physics - Theory · Physics 2009-11-07 S. Balaska , K. Demmouche

In this paper we study octonion regular functions and the structural differences between regular functions in octonion, quaternion, and Clifford analyses.

Classical Analysis and ODEs · Mathematics 2019-01-10 Janne Kauhanen , Heikki Orelma

Identities and inequalities for the cosine and sine functions are obtained.

Classical Analysis and ODEs · Mathematics 2020-01-13 Iosif Pinelis

A model for shadowing in nuclear structure functions at small $x$ and small or moderate $Q^2$ is presented using the relation with diffraction that arises from Gribov's reggeon calculus. A reasonable description of the experimental data is…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. L. Albacete , N. Armesto , A. Capella , A. B. Kaidalov , C. A. Salgado

We present a set of formulas to extract the longitudinal structure function from the proton structure function and its derivatives with respect to lnQ2 in the next-to-next-to-leading order of the perturbative theory at low x based on a hard…

High Energy Physics - Phenomenology · Physics 2020-10-20 B. Rezaei , G. R. Boroun

Structure functions of rough fracture surfaces in isotropic materials exhibit complicated scaling properties due to the broken isotropy in the fracture plane generated by a preferred propagation direction. Decomposing the structure…

Materials Science · Physics 2009-11-11 Eran Bouchbinder , Itamar Procaccia , Shani Sela

This thesis is an exposition of the author's contribution on effective descent morphisms in various categories of generalized categorical structures. It consists of: Chapter 1, where an elementary description of descent theory and the…

Category Theory · Mathematics 2025-02-14 Rui Prezado

Recent experimental results contributing to the understanding of the structure of the nucleon are reviewed. They include the final NMC results on proton and deuteron structure functions; a re-analysis of the CCFR data on F2 and xF3; new…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Chekelian

The explicit expressions for the non-singlet DIS structure function g_1 at small $x$ are obtained by resumming the leading logarithmic contributions. The role played by the fits for the initial parton densities currently used in the DGLAP…

High Energy Physics - Phenomenology · Physics 2009-11-11 B. I. Ermolaev , M. Greco , S. I. Troyan
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