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We characterize the high-temperature thermodynamics of rotating bosons and fermions in two- (2D) and three-dimensional (3D) isotropic harmonic trapping potentials. We begin by calculating analytically the conventional virial coefficients…

Quantum Gases · Physics 2020-08-12 C. E. Berger , K. J. Morrell , J. E. Drut

In this article, we introduce a new class of coupled fractional Lane-Emden boundary value problems. We employ a novel approach, the fractional Haar wavelet collocation method with the Newton-Raphson method. We analyze the conditions in two…

General Mathematics · Mathematics 2025-07-02 Lok Nath Kannaujiya , Narendra Kumar , Amit K. Verma

Massless spinning correlators in cosmology are extremely complicated. In contrast, the scattering amplitudes of massless particles with spin are very simple. We propose that the reason for the unreasonable complexity of these correlators…

High Energy Physics - Theory · Physics 2024-10-17 Daniel Baumann , Grégoire Mathys , Guilherme L. Pimentel , Facundo Rost

Calculations of topological observables in lattice gauge theories with traditional Monte Carlo algorithms have long been known to be a difficult task, owing to the effects of long autocorrelations times. Several mitigation strategies have…

High Energy Physics - Lattice · Physics 2023-10-19 Claudio Bonanno , Alessandro Nada , Davide Vadacchino

The paper is concerned with stochastic approximation procedures having three main characteristics: truncations with random moving bounds, a matrix valued random step-size sequence, and a dynamically changing random regression function. We…

Statistics Theory · Mathematics 2016-11-14 Teo Sharia , Lei Zhong

We investigate the behavior under Lorentz tranformations of perturbative coefficient functions in a collinear twist-3 formalism relevant for high-energy observables including transverse polarization of hadrons. We argue that those…

High Energy Physics - Phenomenology · Physics 2016-03-23 Koichi Kanazawa , Yuji Koike , Andreas Metz , Daniel Pitonyak , Marc Schlegel

We show that the variational representations for f-divergences currently used in the literature can be tightened. This has implications to a number of methods recently proposed based on this representation. As an example application we use…

Machine Learning · Computer Science 2012-06-22 Avraham Ruderman , Mark Reid , Dario Garcia-Garcia , James Petterson

A finite-support constraint on the parameter space is used to derive a lower bound on the error of an estimator of the correlation coefficient in the bivariate exponential distribution. The bound is then exploited to examine optimality of…

Methodology · Statistics 2017-02-13 W. J. Szajnowski

We propose a boundary-corrected weak Galerkin mixed finite element method for solving elliptic interface problems in 2D domains with curved interfaces. The method is formulated on body-fitted polygonal meshes, where interface edges are…

Numerical Analysis · Mathematics 2025-02-06 Yongli Hou , Yi Liu , Yanqiu Wang

Reconstructed-correlator methods have been used to investigate thermal effects in mesonic correlation functions in a fit-independent manner. This technique has recently been extended to the baryonic sector. In this work different ways of…

High Energy Physics - Lattice · Physics 2023-12-07 Ryan Bignell , Gert Aarts , Chris Allton , M. Naeem Anwar , Timothy J. Burns , Benjamin Jäger , Jon-Ivar Skullerud

Dispersion relations are fundamental characteristics of the dynamics of quantum and wave systems. In this work we introduce a simple technique to generate arbitrary dispersion relations in a modulated tilted lattice. The technique is…

Quantum Gases · Physics 2022-01-27 Jean Claude Garreau , Véronique Zehnlé

We discuss a method to construct hadronic scattering and decay amplitudes from Euclidean correlators, by combining the approach of a regulated inverse Laplace transform with the work of Maiani and Testa. Revisiting the original result, we…

High Energy Physics - Lattice · Physics 2021-06-30 Mattia Bruno , Maxwell T. Hansen

In this paper we propose a Local Orthogonal Decomposition method (LOD) for elliptic partial differential equations with inhomogeneous Dirichlet- and Neumann boundary conditions. For this purpose, we present new boundary correctors which…

Numerical Analysis · Mathematics 2014-07-18 Patrick Henning , Axel Målqvist

Investigating the main determinants of the mechanical performance of metals is not a simple task. Already known physical inspired qualitative relations between 2D microstructure characteristics and 3D mechanical properties can act as the…

Applications · Statistics 2020-02-05 Martina Vittorietti , Javier Hidalgo , Jilt Sietsma , Wei Li , Geurt Jongbloed

Particle based methods such as the Discrete Element Method and the Lattice Spring Method may be used for describing the behaviour of isotropic linear elastic materials. However, the common bond models employed to describe the interaction…

Computational Engineering, Finance, and Science · Computer Science 2021-07-06 Rahav Gowtham Venkateswaran , Ursula Kowalsky , Dieter Dinkler

We establish improved convergence rates for curved boundary element methods applied to the three-dimensional (3D) Laplace and Helmholtz equations with smooth geometry and data. Our analysis relies on a precise analysis of the consistency…

Numerical Analysis · Mathematics 2025-07-21 Luiz Maltez Faria , Pierre Marchand , Hadrien Montanelli

Chiral perturbation theory (CPT), the low-energy effective theory of QCD, can be used to describe QCD observables in the low-energy region in a model-independent way. At any given order in the chiral expansion, CPT introduces a finite…

High Energy Physics - Lattice · Physics 2007-05-23 Daniel Arndt

We examine the applicability of diffusive lattice Boltzmann methods to simulate the fluid transport through barrier coatings, finding excellent agreement between simulations and analytical predictions for standard parameter choices. To…

Computational Physics · Physics 2017-06-28 Kyle T. Strand , Aaron J. Feickert , Alexander J. Wagner

This work introduces meta estimators that combine multiple multifidelity techniques based on control variates, importance sampling, and information reuse to yield a quasi-multiplicative amount of variance reduction. The proposed meta…

Computational Physics · Physics 2023-01-19 Frederick Law , Antoine Cerfon , Benjamin Peherstorfer , Florian Wechsung

We show that the method of partial covariance is a very efficient way to introduce constraints (such as the centrality selection) in data analysis in ultra-relativistic nuclear collisions. The technique eliminates spurious event-by-event…

Nuclear Theory · Physics 2018-10-18 Wojciech Broniowski , Adam Olszewski
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