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Derivation of two-time second-order correlation function by following approaches such as stochastic differential equation, coherent-state propagator, and quasi-statistical distribution function is presented. In the process, the time…

Quantum Physics · Physics 2024-06-18 Sintayehu Tesfa

Two-color second-order correlations of the light scattered near-resonantly by a quantum dot were measured by means of spectrally-filtered coincidence detection. The effects of filter frequency and bandwidth were studied under monochromatic…

Quantum Physics · Physics 2015-05-20 M. Peiris , B. Petrak , K. Konthasinghe , Y. Yu , Z. C. Niu , A. Muller

Using multiple integral representations, we derive exact expressions for the correlation functions of the spin-1/2 Heisenberg chain at the free fermion point.

High Energy Physics - Theory · Physics 2015-06-26 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

Two-point correlation functions (2PCF) are widely used to characterize how points cluster in space. In this work, we study the problem of measuring the 2PCF over a large set of points, restricted to a subset satisfying a property of…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Max Hamilton , Daniel Sheldon , Subhransu Maji

The Two-Point Angular Correlation Function is a standard analysis tool used to study angular anisotropies. Since BATSE's sky exposure (the angular sampling of gamma-ray bursts) is anisotropic, the TPACF should at some point identify…

Astrophysics · Physics 2009-10-30 Xiaoling Chen , Jon Hakkila

We derive exact analytic results for several four-point correlation functions for statistical models exhibiting phase separation in two-dimensions. Our theoretical results are then specialized to the Ising model on the two-dimensional strip…

Statistical Mechanics · Physics 2021-10-27 Alessio Squarcini , Antonio Tinti

We compute N-point correlation functions of non-unitary (2k-1, 2) minimal matter coupled to 2D quantum gravity on a sphere using the continuum Liouville field approach. A gravitational dressing of the matter primary field with the minimum…

High Energy Physics - Theory · Physics 2009-10-22 Shun-ichi Yamaguchi

Much of interesting complex biological behaviour arises from collective properties. Important information about collective behaviour lies in the time and space structure of fluctuations around average properties, and two-point correlation…

Quantitative Methods · Quantitative Biology 2022-02-17 Tomás S. Grigera

I present some preliminary results, obtained in collaboration with C. Bernard and A. Soni, for the lattice evaluation of 2- and 3-point gluon correlation functions in momentum space, with emphasis on the amputated 3-gluon vertex function.…

High Energy Physics - Lattice · Physics 2009-10-22 Claudio Parrinello

We show that in boundary CFTs, there exists a one-to-one correspondence between the boundary operator expansion of the two-point correlation function and a power series expansion of the layer susceptibility. This general property allows the…

High Energy Physics - Theory · Physics 2020-12-11 Parijat Dey , Tobias Hansen , Mykola Shpot

We formulate and prove an exact relation which expresses the moments of the two-point conductance for an open disordered electron system in terms of certain density correlators of the corresponding closed system. As an application of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Rochus Klesse , Martin R. Zirnbauer

We develop a model for the redshift-space correlation function, valid for both dark matter particles and halos on scales $>5\,h^{-1}$Mpc. In its simplest formulation, the model requires the knowledge of the first three moments of the…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-08 Davide Bianchi , Will J. Percival , Julien Bel

We analyze the random Euclidean bipartite matching problem on the hypertorus in $d$ dimensions with quadratic cost and we derive the two--point correlation function for the optimal matching, using a proper ansatz introduced by Caracciolo et…

Disordered Systems and Neural Networks · Physics 2015-06-23 Sergio Caracciolo , Gabriele Sicuro

Uncertainty relations for light pulses found in [Phys. Rev. A {\bf 86}, 022118 (2012)] were derived in the three-dimensional case which emphasized the localization in a volume. Here we derive the uncertainty relation for light beams in the…

Optics · Physics 2013-11-07 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

We present a method for calculating explicit expressions of the shear three-point function for various cosmological models. The method is applied here to the one-halo model in case of power law density profiles for which results are…

Astrophysics · Physics 2007-05-23 F. Bernardeau

The two-pion correlation function can be defined as a ratio of either the measured momentum distributions or the normalized momentum space probabilities. We show that the first alternative avoids certain ambiguities since then the…

Nuclear Theory · Physics 2008-11-26 Q. H. Zhang , P. Scotto , U. Heinz

We examine the dependence of the spatial two-point correlation function of quasars $\xi_{qq}(r,z)$ at different redshifts on the initial power spectrum in flat cosmological models. Quasars and other elements of the large-scale structure of…

Astrophysics · Physics 2007-05-23 B. Novosyadlyj , Yu. Chornij

We explore how to compute, classically at strong coupling, correlation functions of local operators corresponding to classical spinning string states. The picture we obtain is of `fattened' Witten diagrams, the evaluation of which turns out…

High Energy Physics - Theory · Physics 2014-11-20 Romuald A. Janik , Piotr Surowka , Andrzej Wereszczynski

In two-dimensional statistical physics, correlation functions of the O(N) and Potts models may be written as sums over configurations of non-intersecting loops. We define sums associated to a large class of combinatorial maps (also known as…

High Energy Physics - Theory · Physics 2023-10-11 Linnea Grans-Samuelsson , Jesper Lykke Jacobsen , Rongvoram Nivesvivat , Sylvain Ribault , Hubert Saleur

In this work, we provide a method which allows to compute exactly the multipoint and multi-time correlation functions of a one-dimensional stochastic model of dimer adsorption-evaporation with random (uncorrelated) initial states. In…

Statistical Mechanics · Physics 2016-08-31 Mauro Mobilia
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