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We generalize the degree-organizational view of real-world networks with broad degree-distributions in a landscape analogue with mountains (high-degree nodes) and valleys (low-degree nodes). For example, correlated degrees between adjacent…

Physics and Society · Physics 2008-02-01 Jacob Bock Axelsen , Sebastian Bernhardsson , Martin Rosvall , Kim Sneppen , Ala Trusina

Random tilings or packings in the plane are characterized by a size distribution of individual elements (domains) and by the statistics of neighbor relations between the domains. Most systems occurring in nature or technology have a…

Soft Condensed Matter · Physics 2011-12-07 Matthew P. Miklius , Sascha Hilgenfeldt

Node betweenness has been studied recently by a number of authors, but until now less attention has been paid to edge betweenness. In this paper, we present an exact analytic study of edge betweenness in evolving scale-free and…

Networking and Internet Architecture · Computer Science 2007-12-13 Attila Fekete , Gábor Vattay , Ljupco Kocarev

We investigate event-by-event fluctuations for ensembles with non-fixed multiplicity. Moments of event observable distributions, like total energy distribution, total transverse momentum distribution, etc, are shown to be related to the…

Nuclear Theory · Physics 2016-08-15 M. Belkacem , Z. Aouissat , M. Bleicher , H. Stöcker , W. Greiner

The first moment the chirality-odd twist-3 parton distribution $e(x)$ is related to the pion-nucleon $\sigma$-term which is important for phenomenology. However, the possible existence of a singular contribution proportional to $\delta(x)$…

High Energy Physics - Phenomenology · Physics 2020-12-01 J. P. Ma , G. P. Zhang

Nuclear collisions exhibit long-range rapidity correlations not present in proton-proton collisions. Because the correlation structure is wide in relative pseudorapidity and narrow in relative azimuthal angle, it is known as the ridge.…

Nuclear Theory · Physics 2015-05-14 George Moschelli , Sean Gavin

The kappa distribution of velocities appears routinely in the study of collisionless plasmas present in Earth's magnetosphere, the solar wind among other contexts where particles are unable to reach thermal equilibrium. Originally justified…

Statistical Mechanics · Physics 2025-10-28 Sergio Davis , Biswajit Bora , Cristian Pavez , Leopoldo Soto

We introduce the Zeta Tail(a) probability distribution as a new model for random damage-event counts in risk analysis. Although readily motivated as an analogue of the Geometric(p) distribution, Zeta Tail(a) has received little attention in…

Methodology · Statistics 2025-07-09 Michael R. Powers

Measurements of charged dihadron DeltaEta-DeltaPhi correlations from the CMS collaboration are presented for PbPb collisions at a center-of-mass energy of 2.76 TeV per nucleon pair over a broad range of pseudorapidity and the full range of…

Nuclear Experiment · Physics 2019-08-13 Jeremy Callner

Distributions, i.e., subsets of tangent bundles formed by piecing together subspaces of tangent spaces, are commonly encountered in the theory and application of differential geometry. Indeed, the theory of distributions is a fundamental…

Differential Geometry · Mathematics 2023-09-20 Andrew D. Lewis

Intermolecular correlations lower values of both diffusion and entropy. We present an analysis of the existing relations between long-time diffusion (D) and entropy. S. A recently proposed inequality, a lower bound, by Sorkin et al.,…

Statistical Mechanics · Physics 2024-06-14 Subhajit Acharya , Biman Bagchi

The evaluation of the number of ways we can distribute energy among a collection of particles in a system is important in many branches of modern science. In particular, in multiparticle production processes the measurements of particle…

High Energy Physics - Phenomenology · Physics 2021-01-05 Maciej Rybczyński , Zbigniew Włodarczyk

We discuss a general method to construct correlated binomial distributions by imposing several consistent relations on the joint probability function. We obtain self-consistency relations for the conditional correlations and conditional…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. Hisakado , K. Kitsukawa , S. Mori

An interpretation of the ridge phenomenon found in pp collisions at 7 TeV is given in terms of enhancement of soft partons due to energy loss of semihard jets. A description of ridge formation in nuclear collisions can directly be extended…

High Energy Physics - Phenomenology · Physics 2011-03-02 Rudolph C. Hwa , C. B. Yang

We present a phenomenological analysis of data on both inclusive and semi-inclusive spin asymmetries. We examine the impact of the semi-inclusive results presented by SMC on the determination of polarized parton distributions performing…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Kurzela , J. Bartelski , S. Tatur

This paper briefly reviews the striking experimental observation of a ridge-like dihadron correlation structure in high multiplicity proton-proton collisions at the Large Hadron Collider (LHC). Recent progress of both experimental and…

Nuclear Experiment · Physics 2012-06-04 Wei Li

The ridge particles associated with a near-side jet are identified as medium partons kicked by the jet near the surface. They carry direct information on the parton momentum distribution at the moment of jet-parton collisions and the…

High Energy Physics - Phenomenology · Physics 2011-01-04 Cheuk-Yin Wong

Rare events have played an increasing role in molecular phylogenetics as potentially homoplasy-poor characters.In this contribution we analyze the phylogenetic information content from a combinatorial point of view by consid-ering the…

Discrete Mathematics · Computer Science 2017-06-15 Marc Hellmuth , Maribel Hernandez-Rosales , Yangjing Long , Peter F. Stadler

We use a generalised version of the individual-based Tangled Nature model of evolutionary ecology to study the relationship between ecosystem structure and evolutionary history. Our evolved model ecosystems typically exhibit interaction…

Populations and Evolution · Quantitative Biology 2007-05-23 Simon Laird , Henrik Jeldtoft Jensen

We show that the "ridge" phenomenon in the two-particle angular correlation function, as observed by the CMS experiment, can be reproduced by implementing an impact parameter dependent azimuthal correlation of the scattering planes of…

High Energy Physics - Phenomenology · Physics 2012-05-17 Sara Alderweireldt , Pierre Van Mechelen