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We derive the exact beyond-linear fluctuation dissipation relation, connecting the response of a generic observable to the appropriate correlation functions, for Markov systems. The relation, which takes a similar form for systems governed…

Statistical Mechanics · Physics 2008-07-03 E. Lippiello , F. Corberi , A. Sarracino , M. Zannetti

A new method for the experimental study of bin-bin correlations is proposed. It is shown that this method is able to reveal important additional information on bin-bin correlations, beyond that of factorial-correlator measurements.

High Energy Physics - Phenomenology · Physics 2007-05-23 S. V. Chekanov , W. Kittel , V. I. Kuvshinov

We present the generalization of recently introduced observables for the studies of correlated fluctuations of different anisotropic flow amplitudes, dubbed Symmetric Cumulants. We introduce a new set of higher order observables and outline…

Nuclear Experiment · Physics 2020-08-19 Cindy Mordasini , Ante Bilandzic , Deniz Karakoç , Seyed Farid Taghavi

We derive an identity connecting any two second-order linear recurrence sequences having the same recurrence relation but whose initial terms may be different. Binomial and ordinary summation identities arising from the identity are…

General Mathematics · Mathematics 2019-01-28 Kunle Adegoke

We propose a method for detecting differential gene expression that exploits the correlation between genes. Our proposal averages the univariate scores of each feature with the scores in correlation neighborhoods. In a number of real and…

Statistics Theory · Mathematics 2007-06-13 Robert Tibshirani , Larry Wasserman

A new method to study the long-range correlations in multiparticle production is developped. It is proposed to study the joint factorial moments or cumulants of multiplicity distributions in several (more than two) bins. It is shown that…

High Energy Physics - Phenomenology · Physics 2015-05-27 A. Bialas , K. Zalewski

An experiment to study the entropy method for an anomaly detection system has been performed. The study has been conducted using real data generated from the distributed sensor networks at the Intel Berkeley Research Laboratory. The…

Cryptography and Security · Computer Science 2017-03-14 A. A. Waskita , H. Suhartanto , L. T. Handoko

Person re-identification is a key challenge for surveillance across multiple sensors. Prompted by the advent of powerful deep learning models for visual recognition, and inexpensive RGB-D cameras and sensor-rich mobile robotic platforms,…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Frank Hafner , Amran Bhuiyan , Julian F. P. Kooij , Eric Granger

We propose an approach to measuring nonresonant coupled systems, which gives a parametrically smaller error than the conventional fast projective measurements. The approach takes into account that, due to the coupling, excitations are not…

Quantum Physics · Physics 2009-03-05 L. Fedichkin , M. Shapiro , M. I. Dykman

A rewiew of the development of formalism to describe correlations and fluctuations in multiparticle production is presented. The milestones of history of this development and some obvious sources of correlations in experimental data are…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Fialkowski

We present a number of independent flow observables that can be measured using multiparticle azimuthal correlations in heavy-ion collisions. Some of these observables are already well known, such as v2{2} and v2{4}, but most are new--in…

Nuclear Theory · Physics 2012-06-18 Rajeev S. Bhalerao , Matthew Luzum , Jean-Yves Ollitrault

The current development of digital image correlation, whose displacement uncertainty is well below the pixel value, enables one to better characterise the behaviour of materials and the response of structures to external loads. A general…

Classical Physics · Physics 2016-08-16 François Hild , Stéphane Roux

The method of Probability Density Profile Analysis has been introduced previously as a tool to find the best match between a set of experimentally generated Residual Dipolar Couplings and a set of known protein structures. While it proved…

Biomolecules · Quantitative Biology 2019-11-07 Ryan Yandle , Rishi Mukhopadhyay , Homayoun Valafar

An experimental scheme is introduced to measure multiple parameters that are encoded in the phase quadrature of a light beam. Using a modal description and a spectrally-resolved homodyne detection, it is shown that all of the information is…

Optics · Physics 2017-03-29 Valérian Thiel , Jonathan Roslund , Pu Jian , Claude Fabre , Nicolas Treps

Using real-world study data usually requires contractual agreements where research results may only be published in anonymized form. Requiring formal privacy guarantees, such as differential privacy, could be helpful for data-driven…

Cryptography and Security · Computer Science 2024-07-08 Jonas Allmann , Saskia Nuñez von Voigt , Florian Tschorsch

Recent measurements at RHIC of angular correlations of same-sign vs. opposite sign pairs have been interpreted as evidence for large-scale fluctuations of parity-odd fields. In this paper, we provide alternative explanations of the same…

Nuclear Theory · Physics 2010-02-10 Scott Pratt

Requirements for correlation measurements in high--multiplicity events are discussed. Attention is focussed on detection of so--called hot spots, two--particle rapidity correlations, two--particle momentum correlations (for quantum…

Nuclear Theory · Physics 2008-11-26 David Seibert

In this paper, the defining properties of a valid measure of the dependence between two random variables are reviewed and complemented with two original ones, shown to be more fundamental than other usual postulates. While other popular…

Methodology · Statistics 2019-12-03 Gery Geenens , Pierre Lafaye de Micheaux

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

We investigate the two-points correlation function for several boundary-driven interacting particle systems. Our goal is to show that the time evolution of that correlation function is solution to a partial differential equation that can be…

Probability · Mathematics 2024-10-24 P. Gonçalves , B. Salvador