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The general structure of the partition function of an anyon gas is discussed, especially in relation to statements made in Phys. Rev. Lett. 68 (1992) 1621 and Phys. Rev. Lett. 69( 1992) 2877.

High Energy Physics - Theory · Physics 2016-09-06 G. Amelino-Camelia , L. Hua

The purpose of these notes is to give a short survey of an interesting connection between partition functions of supersymmetric gauge theories and hypergeometric functions and to present the recent progress in this direction.

Mathematical Physics · Physics 2016-08-19 Ilmar Gahramanov

In this paper we examine various properties/constructions which are known for reductive groups and we do some experiments to see to what extent they generalize to symmetric spaces.

Representation Theory · Mathematics 2009-09-13 G. Lusztig

We analyse various structural and order-theoretical aspects of abstract separation systems and partial lattices, as well as the relationship between the different submodularity conditions one can impose on them.

Combinatorics · Mathematics 2025-05-20 Christian Elbracht , Jay Lilian Kneip , Maximilian Teegen

We will generalize the concept of aggregation function for mathematical structures as a certain function between quantales. In fact, these functions turn to be exactly the lax morphism of quantales. This provides a global framework for the…

Category Theory · Mathematics 2026-04-30 Alejandro Fructuoso-Bonet , Jesús Rodríguez-López

This paper describes in basic terms what a "Thin Group" is, as well as its uses in various subjects.

Number Theory · Mathematics 2018-12-07 Alex Kontorovich , D. Darren Long , Alexander Lubotzky , Alan W. Reid

The constraints on the models for the structure formation arising from various cosmological observations at different length scales are reviewed. The status of different models for structure formation is examined critically in the light of…

Astrophysics · Physics 2007-05-23 T. Padmanabhan

Structure functions are a measure of the partonic structure of hadrons, which is important for any process which involves colliding hadrons. They are a key ingredient for deriving partons distributions in nucleons. In recent years dramatic…

High Energy Physics - Phenomenology · Physics 2015-05-27 A. De Roeck , R. S. Thorne

Transit functions serve not only as abstractions of betweenness and convexity but are also closely connected with clustering systems. Here, we investigate the canonical transit functions of binary clustering systems inspired by pyramids,…

Discrete Mathematics · Computer Science 2024-01-30 Manoj Changat , Ameera Vaheeda Shanavas , Peter F. Stadler

Nucleon structure functions are shown to have a qualitative (or `formal') relation to the classical elliptic theta functions. In particular, theta_1'/2 shows a clear resemblance to a non-singlet structure function like xF_3. In the…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. G. Scott

Recent results on structure functions and parton distribution functions at HERA are presented. Results on the measurements of the structure functions F2, FL and F3 will be covered, as well as the results of the most recent QCD fits to…

High Energy Physics - Experiment · Physics 2007-05-23 C. Targett-Adams

In this manuscript the idea of soft convex structures is given and some of their properties are investigated. Also, soft convex sets, soft concave sets and soft convex hull operator are defined and their properties are studied. Moreover,…

General Mathematics · Mathematics 2024-05-31 José Sanabria , Adolfo Pimienta , Semiramis Zambrano

Interconnected dynamic systems are a pervasive component of our modern infrastructures. The complexity of such systems can be staggering, which motivates simplified representations for their manipulation and analysis. This work introduces…

Systems and Control · Computer Science 2015-03-19 E. Yeung , J. Goncalves , H. Sandberg , S. Warnick

This paper surveys some results and methods in topological transformation groups.

Algebraic Topology · Mathematics 2009-09-25 Alejandro Adem , James F. Davis

A way to add an extra dimension is briefly discussed.

Classical Analysis and ODEs · Mathematics 2007-10-15 Stephen Semmes

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

Recent results obtained within ECFA/DESY and ECFA Study by the Higgs and gamma gamma /e gamma physics working groups are presented.

High Energy Physics - Phenomenology · Physics 2011-01-13 Maria Krawczyk

In this short article, we give a summary of the Sylow $p$-subgroups of the finite simple groups of classical Lie type.

Group Theory · Mathematics 2025-08-14 Hannah Knight

Rejoinder: Classifier Technology and the Illusion of Progress [math.ST/0606441]

Statistics Theory · Mathematics 2007-06-13 David J. Hand

Discrete convex functions are used in many areas, including operations research, discrete-event systems, game theory, and economics. The objective of this paper is to investigate basic operations such as direct sum, splitting, and…

Optimization and Control · Mathematics 2020-08-31 Kazuo Murota
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