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Assemblies of anisotropic particles commonly appear in studies of active many-body systems. However, in two dimensions, the geometric ramifications of the finite density of such objects are not entirely understood. To fully characterize…

Biological Physics · Physics 2019-05-29 Jakov Lovrić , Sara Kaliman , Wolfram Barfuß , Gerd E. Schröder-Turk , Ana-Sunčana Smith

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

Methodology · Statistics 2017-01-23 Björn Görder , Michael Kolonko

An approach is proposed to analyze the azimuthal distribution of particles produced on the away side in heavy-ion collisions without background subtraction. Measures in terms of factorial moments are suggested that can suppress the…

Nuclear Theory · Physics 2008-11-26 Charles B. Chiu , Rudolph C. Hwa

Non-identical particle femtoscopy probes not only the size of the emitting system, but also the emission asymmetries between particles of different mass, which are intimately related with the collective behavior of matter. We apply the…

Nuclear Theory · Physics 2015-03-13 Adam Kisiel

We propose a novel method for testing isotropy of a three-dimensional distribution using Shannon entropy. We test the method on some Monte Carlo simulations of isotropic and anisotropic distributions and find that the method can effectively…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-24 Biswajit Pandey

Motivated by the central role played by rotationally symmetric distributions in directional statistics, we consider the problem of testing rotational symmetry on the hypersphere. We adopt a semiparametric approach and tackle problems where…

Methodology · Statistics 2021-04-27 Eduardo García-Portugués , Davy Paindaveine , Thomas Verdebout

Self-similar sets with open set condition, the linear objects of fractal geometry, have been considered mainly for crystallographic data. Here we introduce new symmetry classes in the plane, based on rotation by irrational angles. Examples…

Metric Geometry · Mathematics 2023-01-02 Christoph Bandt , Dmitry Mekhontsev

In this paper, we have obtained conditions on parameters that result in dispersive ordering and star ordering among two unequal sets of random variables from Proportional hazard rate and Proportional reversed hazard rate family of…

Statistics Theory · Mathematics 2020-03-02 Madhurima Datta , Nitin Gupta

We evaluate the impact of recent developments in hadron phenomenology on extracting possible fundamental tensor interactions beyond the standard model. We show that a novel class of observables, including the chiral-odd generalized parton…

High Energy Physics - Phenomenology · Physics 2015-10-21 Aurore Courtoy , Stefan Baessler , Martin Gonzalez-Alonso , Simonetta Liuti

Randomized search algorithms for hard combinatorial problems exhibit a large variability of performances. We study the different types of rare events which occur in such out-of-equilibrium stochastic processes and we show how they cooperate…

Statistical Mechanics · Physics 2009-11-07 Andrea Montanari , Riccardo Zecchina

We consider deflection of polarizable molecules by inhomogeneous optical fields, and analyze the role of molecular orientation and rotation in the scattering process. It is shown that molecular rotation induces spectacular rainbow-like…

Atomic Physics · Physics 2015-05-14 E. Gershnabel , I. Sh. Averbukh

The jet shape is a simple measure of how widely a jet's energy is spread. At present jet shape distributions have only been calculated to leading order in perturbative QCD. In this paper we consider how much these predictions should be…

High Energy Physics - Phenomenology · Physics 2009-10-30 Michael H. Seymour

We present a Monte Carlo algorithm for selectively sampling radial distribution functions and effective interaction potentials in asymmetric liquid mixtures. We demonstrate its efficiency for hard-sphere mixtures, and for model systems with…

Soft Condensed Matter · Physics 2009-11-13 J. G. Malherbe , Werner Krauth

Self-assembly of particles with short-range attraction and long-range repulsion (SALR) interactions on a flat and on a spherical surface is compared. Molecular dynamics (MD) simulations are performed for the two systems having the same area…

Soft Condensed Matter · Physics 2018-11-20 Jakub Pękalski , Alina Ciach

First order shape optimization methods, in general, require a large number of iterations until they reach a locally optimal design. While higher order methods can significantly reduce the number of iterations, they exhibit only local…

Numerical Analysis · Mathematics 2026-04-01 A. Cesarano , B. Endtmayer , P. Gangl

Using variational autoencoders trained on known physics processes, we develop a one-sided threshold test to isolate previously unseen processes as outlier events. Since the autoencoder training does not depend on any specific new physics…

High Energy Physics - Experiment · Physics 2019-06-14 Olmo Cerri , Thong Q. Nguyen , Maurizio Pierini , Maria Spiropulu , Jean-Roch Vlimant

We study the mismatch between a full calculation of non-global single-logarithms in the large-N_c limit and an approximation based on free azimuthal averaging, and the consequent angular-ordered pattern of soft gluon radiation in QCD. We…

High Energy Physics - Phenomenology · Physics 2010-10-27 Andrea Banfi , Gennaro Corcella , Mrinal Dasgupta

The existing object classification techniques based on descriptive features rely on object alignment to compute the similarity of objects for classification. This paper replaces the necessity of object alignment through sorting of feature.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-08 Bimal Kumar Ray

Ion Beam Sputtering (IBS) is a cost-effective technique able to produce ordered nanopatterns on the surfaces of different materials. To date, most theoretical studies of this process have focused on systems which become amorphous under…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 Javier Renedo , Javier Muñoz-García , Mario Castro , Rodolfo Cuerno

A spatial point pattern is called anisotropic if its spatial structure depends on direction. Several methods for anisotropy analysis have been introduced in the literature. In this paper, we give an overview of nonparametric methods for…

Methodology · Statistics 2018-03-01 Tuomas Rajala , Claudia Redenbach , Aila Särkkä , Martina Sormani