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Conformal Correlation Functions
This chapter discusses the central object in conformal field theory: correlation functions. It is shown how Wightman functions can be analytically...
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Fast Algorithms and Efficient Statistics: N-Point Correlation Functions
We present here a new algorithm for the fast computation of N-Point correlation functions in large astronomical data sets. The algorithm is based on...
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Correlation Functions of Photospheric Magnetic Fields in Solar Active Regions
We used magnetograms acquired with the Helioseismic and Magnetic Imager (HMI) on board the Solar Dynamics Observatory (SDO) to calculate and analyze...
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Correlation functions of scalar field theories from homotopy algebras
We present expressions for correlation functions of scalar field theories in perturbation theory using quantum A ∞ algebras. Our expressions are...
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On Virial Expansions of Correlation Functions. Canonical Ensemble
We present a brief survey of works of the Kyiv School of Mathematicians published in Soviet journals in the 1940–70s. The main results are formulated...
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Real time lattice correlation functions from differential equations
We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian...
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Correlation
By ‘correlation’, this book primarily refers to temporal correlation. This chapter defines the auto- and cross-correlation functions and presents...
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Symmetry-resolved modular correlation functions in free fermionic theories
As a new ingredient for analyzing the fine structure of entanglement, we study the symmetry resolution of the modular flow of U(1)-invariant...
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Applied Analysis of Differences by Cross-Correlation Functions
The testing of the statistically significant similarities between two different data series cannot be measured using by Wilcoxon or T paired test,...
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Virial expansions for correlation functions in canonical ensemble
The Kirkwood–Salzburg type equations are considered as nonlinear equations for the correlation functions of the canonical ensemble. Their solutions...
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On Correlation Functions in the Coordinate and the Algebraic Bethe Ansatz
The Bethe ansatz, both in its coordinate and its algebraic version, is an exceptional method to compute the eigenvectors and eigenvalues of...
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MD Simulation and Analysis of the Pair Correlation Functions, Self-Diffusion Coefficients and Orientational Correlation Times in Aqueous KCl Solutions at Different Temperatures and Concentrations
In this study, we investigate some structural and dynamical properties of aqueous KCl solutions at different temperatures and concentrations. We...
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On taylor correlation functions in isotropic turbulent flows
A turbulent flow can be characterized by Taylor correlation functions which are obtained empirically, understood by statistical mechanics and...
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Algebraic Bethe ansatz approach to the correlation functions of the one-dimensional bosons with attraction
We consider a model of a one-dimensional Bose gas with attraction. We study ground state equal-time correlation functions in this model using the...
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Correlation Functions and the Spectrum of the Initial Fluctuations
The comparison of the observed distribution of galaxies in space with the expectations of different models of the origin of large scale structures is...
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Nearest-Neighbour Correlation Functions for the Supersymmetric XYZ Spin Chain and Painlevé VI
We study nearest-neighbour correlation functions for the ground state of the supersymmetric XYZ spin chain with odd length and periodic boundary...
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A novel method for calculating Bose–Einstein correlation functions with Coulomb final-state interaction
Measurements of Bose–Einstein correlations played a crucial role in the discovery and the subsequent detailed exploration of the Quark-Gluon-Plasma...
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Holography and correlation functions of huge operators: spacetime bananas
We initiate the study of holographic correlators for operators whose dimension scales with the central charge of the CFT. Differently from light...
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Building Correlation Immune Functions from Sets of Mutually Orthogonal Cellular Automata
Correlation immune Boolean functions play an important role in the implementation of efficient masking countermeasures for side-channel attacks in...
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Multi-point Correlation Functions in the Boundary XXZ Chain at Finite Temperature
We consider multi-point correlation functions in the open XXZ chain with longitudinal boundary fields and in a uniform external magnetic field. We...