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This paper introduces the correlation-of-divergency coefficient, c-delta, a custom statistical measure designed to quantify the similarity of internal divergence patterns between two groups of values. Unlike conventional correlation…

Methodology · Statistics 2026-03-10 Johan F. Hoorn

We derive a simple analytical expression for the level correlation function of an integrable system. It accounts for both the lack of correlations at smaller energy scales and for global rigidity (level number conservation) at larger…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. A. Serota , J. M. A. S. P. Wickramasinghe

This work presents a guide for the use of some of the functions of the R package "multiColl" for the detection of near multicollinearity. The main contribution, in comparison to other existing packages in R or other econometric software, is…

Computation · Statistics 2019-11-01 Román Salmerón , Catalina García , José García

In molecular liquids such as water, time-delayed influences between microscopic or mesoscopic variables are typically probed using time-correlation functions, which are symmetric under detailed balance and therefore blind to dynamical…

Chemical Physics · Physics 2026-04-22 Leon Huet , Vittorio Del Tatto , Debarshi Banerjee , Alessandro Laio , Ali A. Hassanali

Multiparticle correlators are mathematical objects frequently encountered in quantum field theory and collider physics. By translating multiparticle correlators into the language of graph theory, we can gain new insights into their…

High Energy Physics - Phenomenology · Physics 2020-03-04 Patrick T. Komiske , Eric M. Metodiev , Jesse Thaler

Learning exchange correlation functionals, used in quantum chemistry calculations, from data has become increasingly important in recent years, but training such a functional requires sophisticated software infrastructure. For this reason,…

Machine Learning · Computer Science 2023-09-29 Advika Vidhyadhiraja , Arun Pa Thiagarajan , Shang Zhu , Venkat Viswanathan , Bharath Ramsundar

An algorithm is developed for structure identification of amorphous carbonaceous nanomaterials with a joint x-ray and neutron diffraction data analysis, using the data on the chemical composition of the sample from other diagnostics. The…

Materials Science · Physics 2013-01-16 V. S. Neverov , V. V. Voloshinov , A. B. Kukushkin , A. S. Tarasov

Multi-particle collision dynamics is an appealing numerical technique aiming at simulating fluids at the mesoscopic scale. It considers molecular details in a coarse-grained fashion and reproduces hydrodynamic phenomena. Here, the…

Soft Condensed Matter · Physics 2019-03-28 H. Híjar

Detecting dependence between variables is a crucial issue in statistical science. In this paper, we propose a novel metric called label projection correlation to measure the dependence between numerical and categorical variables. The…

Methodology · Statistics 2025-06-24 Yixiao Liu , Pengjian Shang

Correlators between event planes of different harmonics in relativistic heavy-ion collisions have the potential to provide crucial information on the initial state of the matter formed in these collisions. We present a new procedure for…

Nuclear Theory · Physics 2013-08-28 Rajeev S. Bhalerao , Jean-Yves Ollitrault , Subrata Pal

FcsIT is a platform-independent, open-source tool for calculating the correlation and fitting fluorescence correlation spectroscopy data. The software is written in Python and uses a powerful Dear PyGUI engine for its interface. It provides…

Quantitative Methods · Quantitative Biology 2026-04-01 Tomasz Kalwarczyk

Manifold matching works to identify embeddings of multiple disparate data spaces into the same low-dimensional space, where joint inference can be pursued. It is an enabling methodology for fusion and inference from multiple and massive…

Machine Learning · Statistics 2012-09-18 Ming Sun , Carey E. Priebe , Minh Tang

The postulate of the existence of a jamming phase diagram (Liu and Nagel, Nature 396, 21 EP (1998aa)) provides a theoretical basis for the classification of a wide range of amorphous solids (colloidal, molecular and emulsion glasses,…

Soft Condensed Matter · Physics 2020-02-04 Ruru Li , Daniel Lester

Multivariate density moments (correlators) of arbitrary order are obtained for the multiplicative self-similar cascade. This result is based on the calculation by Greiner, Eggers and Lipa (reference [1]) where the correlators of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Bialas , J. Czyzewski

We present LBsoft, an open-source software developed mainly to simulate the hydro-dynamics of colloidal systems based on the concurrent coupling between lattice Boltzmann methods for the fluid and discrete particle dynamics for the…

This article is intended to an introductory lecture in material physics, in which the modern computational group theory and the electronic structure calculation are in collaboration. The effort of mathematicians in field of the group…

Materials Science · Physics 2019-08-08 Akihito Kikuchi

Atomic-level simulations are widely used to study biomolecules and their dynamics. A common goal in such studies is to compare simulations of a molecular system under several conditions -- for example, with various mutations or bound…

Biomolecules · Quantitative Biology 2025-01-07 Martin Vögele , Neil J. Thomson , Sang T. Truong , Jasper McAvity , Ulrich Zachariae , Ron O. Dror

We study empirical statistical and gap distributions of several important tilings of the plane. In particular, we consider the slope distributions, the angle distributions, pair correlation, squared-distance pair correlation, angle gap…

Metric Geometry · Mathematics 2017-07-19 Maxie D. Schmidt

In this letter, we analyze the dipole-dipole correlations obtained from the molecular dynamics simulations for strongly- and weakly-polar model liquids. As a result, we found that cross-correlations contribution to the systems total dipole…

Soft Condensed Matter · Physics 2022-07-07 Kajetan Koperwas , Marian Paluch

Calibration refers to the estimation of unknown parameters which are present in computer experiments but not available in physical experiments. An accurate estimation of these parameters is important because it provides a scientific…

Methodology · Statistics 2019-03-21 Chih-Li Sung , Ying Hung , William Rittase , Cheng Zhu , C. F. Jeff Wu