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Renaud Parentani has given a vast contribution to the development of gravitational analogue models as tools to explore various important aspects of general relativity and of quantum field theory in curved space-time. In these systems,…

Quantum Gases · Physics 2025-04-23 Alessia Biondi , Maria Luisa Chiofalo , Massimo Mannarelli , Silvia Trabucco

We study the two-point correlation function of density perturbations in a spherically symmetric void universe model which does not employ the Copernican principle. First we solve perturbation equations in the inhomogeneous universe model…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-25 Ryusuke Nishikawa , Chul-Moon Yoo , Ken-ichi Nakao

We present an approach for accurate estimation of the covariance of 2-point correlation functions that requires fewer mocks than the standard mock-based covariance. This can be achieved by dividing a set of mocks into jackknife regions and…

We propose a prescription for describing correlation functions in higher-dimensional defect conformal field theories (DCFTs) by those in ancillary conformal field theories (CFTs) without defects, which is a vast generalization of the image…

High Energy Physics - Theory · Physics 2022-12-09 Tatsuma Nishioka , Yoshitaka Okuyama , Soichiro Shimamori

Debugging accumulation of floating-point errors is hard; ideally, computer should track it automatically. Here we consider twofold approximation of an exact real with value + error pair of floating-point numbers. Normally, value + error sum…

Numerical Analysis · Computer Science 2014-01-06 Evgeny Latkin

We continue the study of the correlation functions for the point stochastic processes introduced in Part I (G.Olshanski, math.RT/9804086). We find an integral representation of all the correlation functions and their explicit expression in…

Representation Theory · Mathematics 2007-05-23 Alexei Borodin

The estimation of the correlation between time series is often hampered by the asynchronicity of the signals. Cumulating data within a time window suppresses this source of noise but weakens the statistics. We present a method to estimate…

Data Analysis, Statistics and Probability · Physics 2009-02-18 Bence Toth , Janos Kertesz

A variety of techniques have been proposed to train machine learning classifiers that are independent of a given feature. While this can be an essential technique for enabling background estimation, it may also be useful for reducing…

High Energy Physics - Phenomenology · Physics 2022-02-09 Aishik Ghosh , Benjamin Nachman

Coulomb interactions of point charges can be calculated in $\mathcal{O}$(N) computation using the fast multipole method and direct calculations between charges nearby. It reduces computational cost dramatically, however, because of its…

Computational Physics · Physics 2023-01-02 Yasuhiro Kajima

We propose a recursive algorithm for the calculation of multi-baryon correlation functions that combines the advantages of a recursive approach with those of the recently proposed unified contraction algorithm. The independent components of…

High Energy Physics - Lattice · Physics 2013-05-30 Jana Günther , Bálint C. Tóth , Lukas Varnhorst

The Bayesian two-step change point detection method is popular for the Hawkes process due to its simplicity and intuitiveness. However, the non-conjugacy between the point process likelihood and the prior requires most existing Bayesian…

Machine Learning · Statistics 2024-10-16 Zeyue Zhang , Xiaoling Lu , Feng Zhou

Recently there has been progress on the computation of two- and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS_4 x CP^3, and examine the suggested procedure…

High Energy Physics - Theory · Physics 2011-03-22 D. Arnaudov , R. C. Rashkov

This short report gives a non-asymptotic rate of convergence proof for solving a two-block coordinate descent problem. This non-asymptotic proof is a simple result that can be derived easily from available results in the literature. We give…

Optimization and Control · Mathematics 2019-01-28 Seyyed Mohammad Rouzban , Reshad Hosseini

Heterogeneous materials abound in nature and man-made situations. Examples include porous media, biological materials, and composite materials. Diverse and interesting properties exhibited by these materials result from their complex…

Materials Science · Physics 2009-11-13 Y. Jiao , F. H. Stillinger , S. Torquato

Various properties of the general two-center two-electron integral over the explicitly correlated exponential function are analyzed for the potential use in high precision calculations for diatomic molecules. A compact one dimensional…

Chemical Physics · Physics 2015-06-11 Krzysztof Pachucki

Padmanabhan (1996) has suggested a model to relate the nonlinear two - point correlation function to the linear two - point correlation function. In this paper, we extend this model in two directions: (1) By averaging over the initial…

Astrophysics · Physics 2015-06-24 Dipak Munshi , T. Padmanabhan

We compute analytically and in closed form the four-point correlation function in the plane, and the two-point correlation function in the upper half-plane, of layering vertex operators in the two dimensional conformally invariant system…

Mathematical Physics · Physics 2020-08-26 Federico Camia , Valentino F. Foit , Alberto Gandolfi , Matthew Kleban

Cluster Perturbation Theory (CPT) is a computationally economic method commonly used to estimate the momentum and energy resolved single-particle Green's function. It has been used extensively in direct comparisons with experiments that…

Strongly Correlated Electrons · Physics 2020-02-20 P. T. Raum , G. Alvarez , Thomas Maier , V. W. Scarola

We have computed the simplest five point function in $\mathcal{N} = 4$ SYM at two loops using the hexagonalization approach to correlation functions. Along the way we have determined all two-particle mirror contributions at two loops and we…

High Energy Physics - Theory · Physics 2020-08-26 Thiago Fleury , Vasco Goncalves

As the new-generation precision experiments such as MOLLER and P2 look for physics beyond Standard Model, it is becoming increasingly important to evaluate the higher-order electroweak radiative corrections to a sub-percent level of…

High Energy Physics - Theory · Physics 2019-12-11 A. Aleksejevs , S. Barkanova