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We investigate percolation on a randomly directed lattice, an intermediate between standard percolation and directed percolation, focusing on the isotropic case in which bonds on opposite directions occur with the same probability. We…

Disordered Systems and Neural Networks · Physics 2018-12-19 Aurelio W. T. de Noronha , André A. Moreira , André P. Vieira , Hans J. Herrmann , José S. Andrade , Humberto A. Carmona

We provide a general method to construct local infrared subtraction counterterms for unresolved radiative contributions to differential cross sections, to any order in perturbation theory. We start from the factorised structure of virtual…

High Energy Physics - Phenomenology · Physics 2018-12-26 Lorenzo Magnea , Ezio Maina , Giovanni Pelliccioli , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

We present an optimised multipole algorithm for computing the three-point correlation function (3PCF), tailored for application to large-scale cosmological datasets. The algorithm builds on a $in\, situ$ interpretation of correlation…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Wenjie Ju , Longlong Feng , Zhiqi Huang , Xin Sun , Weishan Zhu

We give a complete factorization of the invariant factors of resultant matrices built from birational parameterizations of rational plane curves in terms of the singular points of the curve and their multiplicity graph. This allows us to…

Commutative Algebra · Mathematics 2012-03-20 Laurent Buse , Carlos D'Andrea

In this paper we consider the fragmentation of a parton into a jet with small jet radius $R$. Perturbatively, logarithms of $R$ can appear, which for narrow jets can lead to large corrections. Using soft-collinear effective theory, we…

High Energy Physics - Phenomenology · Physics 2016-12-28 Lin Dai , Chul Kim , Adam K. Leibovich

We present a study of connectivity percolation in suspensions of hard spherocylinders by means of Monte Carlo simulation and connectedness percolation theory. We focus attention on polydispersity in the length, the diameter and the…

Soft Condensed Matter · Physics 2015-06-02 Hugues Meyer , Paul van der Schoot , Tanja Schilling

The effect of the correlations in the diluteness pattern in the systems with non-integral dimensionality, on $\nu=\frac{4}{5}$ superdiffusion process is considered in this paper. These spatial correlations have proved to be very effective…

Statistical Mechanics · Physics 2019-09-04 J. Cheraghalizadeh , M. N. Najafi

We present new results for the 3-point correlation function, \zeta, measured as a function of scale, luminosity and colour from the final version of the two-degree field galaxy redshift survey (2dFGRS). The reduced three point correlation…

Astrophysics · Physics 2009-11-11 E. Gaztanaga , P. Norberg , C. M. Baugh , D. J. Croton

We compare results of $k_t$-factorization approach and next-to-leading order collinear-factorization approach for dijet correlations in proton-proton collisions at RHIC energies. We discuss correlations in azimuthal angle as well as…

High Energy Physics - Phenomenology · Physics 2008-11-26 Antoni Szczurek , Anna Rybarska , Gabriela Slipek

We use SLE(6) paths to construct a process of continuum nonsimple loops in the plane and prove that this process coincides with the full continuum scaling limit of 2D critical site percolation on the triangular lattice -- that is, the…

Probability · Mathematics 2009-11-11 Federico Camia , Charles M. Newman

Let $S$ be a finite set of points in the Euclidean plane. Let $D$ be a Delaunay triangulation of $S$. The {\em stretch factor} (also known as {\em dilation} or {\em spanning ratio}) of $D$ is the maximum ratio, among all points $p$ and $q$…

Computational Geometry · Computer Science 2013-08-30 Ge Xia

The crystal structure and local spontaneous polarization of (BaTiO3)m/(SrTiO3)n superlattices is calculated using a first-principles density functional theory method. The in-plane lattice constant is 1% larger than the SrTiO3 substrate to…

Materials Science · Physics 2013-05-29 Karen Johnston , Xiangyang Huang , Jeffrey B. Neaton , Karin M. Rabe

An arithmetical discrete plane is said to have critical connecting thickness if its thickness is equal to the infimum of the set of values that preserve its $2$-connectedness. This infimum thickness can be computed thanks to the fully…

Discrete Mathematics · Computer Science 2014-06-27 Valérie Berthé , Damien Jamet , Timo Jolivet , Xavier Provençal

We consider matrix factorizations and homological mirror symmetry on the torus T^2 using a Landau-Ginzburg description. We identify the basic matrix factorizations of the Landau-Ginzburg superpotential and compute the full spectrum, taking…

High Energy Physics - Theory · Physics 2009-11-13 Johanna Knapp , Harun Omer

Correlation functions in the O(n) models below the critical temperature are considered. Based on Monte Carlo (MC) data, we confirm the fact stated earlier by Engels and Vogt, that the transverse two-plane correlation function of the O(4)…

Statistical Mechanics · Physics 2016-08-24 J. Kaupuzs , R. V. N. Melnik , J. Rimsans

We derive the nonlinear k_\perp-factorization for the spectrum of jets in high-mass diffractive deep inelastic scattering as a function of three hard scales - the virtuality of the photon Q^2, the transverse momentum of the jet and the…

High Energy Physics - Phenomenology · Physics 2009-11-11 N. N. Nikolaev , W. Schäfer , B. G. Zakharov , V. R. Zoller

Long- and short-range correlations for pairs of charged particles are studied via two-particle angular correlations in pp collisions at $\sqrt{s}=13$ TeV and p$-$Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$ TeV. The correlation functions…

Nuclear Experiment · Physics 2024-04-15 ALICE Collaboration

Observables which discriminate boosted topologies from massive QCD jets are of great importance for the success of the jet substructure program at the Large Hadron Collider. Such observables, while both widely and successfully used, have…

High Energy Physics - Phenomenology · Physics 2016-05-19 Andrew J. Larkoski , Ian Moult , Duff Neill

We study the resummation of the $0$-jettiness resolution variable $\mathcal{T}_0$ for the top-quark pair production process in hadronic collisions. Starting from an effective theory framework we derive a factorisation formula for this…

High Energy Physics - Phenomenology · Physics 2022-02-02 Simone Alioli , Alessandro Broggio , Matthew A. Lim

We compute the two and three-point correlation functions of chiral primary operators in the large N limit of the (0,2), d=6 superconformal theory. We also consider the operator product expansion of Wilson surfaces in the (0,2) theory and…

High Energy Physics - Theory · Physics 2009-10-31 Richard Corrado , Bogdan Florea , Robert McNees
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