Unsolved problems in number theory | Random matrices | Zeta and L-functions | Analytic number theory | Conjectures
In mathematics, Montgomery's pair correlation conjecture is a conjecture made by Hugh Montgomery that the pair correlation between pairs of zeros of the Riemann zeta function (normalized to have unit average spacing) is which, as Freeman Dyson pointed out to him, is the same as the pair correlation function of random Hermitian matrices. (Wikipedia).
SPSS for Beginners 5: Correlations
Updated video: SPSS for Beginners – Correlation https://youtu.be/6EH5DSaCF_8 This video demonstrates how to calculate correlations in SPSS and how to interpret correlation matrices.
From playlist RStats Videos
Conceptual Questions about Correlation
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Conceptual Questions about Correlation
From playlist Statistics
Pearson's Correlation 1: Correlations and Scatterplots
In this video, I discuss Pearson's Correlation and Scatterplots. Other concepts covered include direction of correlations, the coefficient of determination, and variance shared. Data used for this demonstration is from the CORE2016 project (ID: OER29/15 CCY), the National Institute of Educ
From playlist Pearson Correlation in SPSS
RELATIONSHIPS Between Variables: Standardized Covariance (7-1)
Correlation is a way of measuring the extent to which two variables are related. The term correlation is synonymous with “relationship.” Variables are related when changes in one variable are consistently associated with changes in another variable. Dr. Daniel reviews Variance, Covariance,
From playlist Correlation And Regression in Statistics (WK 07 - QBA 237)
Jon Keating: Random matrices, integrability, and number theory - Lecture 2
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
Jon Keating: Random matrices, integrability, and number theory - Lecture 3
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
Statistics of the Zeros of the Zeta Function: Mesoscopic and Macroscopic Phenomena - Brad Rodgers
Brad Rodgers University of California, Los Angeles March 27, 2013 We review the well known microscopic correspondence between random zeros of the Riemann zeta-function and the eigenvalues of random matrices, and discuss evidence that this correspondence extends to larger mesoscopic collect
From playlist Mathematics
Random Matrix Theory and Zeta Functions - Peter Sarnak
Random Matrix Theory and Zeta Functions - Peter Sarnak Peter Sarnak Institute for Advanced Study; Faculty, School of Mathematics February 4, 2014 We review some of the connections, established and expected between random matrix theory and Zeta functions. We also discuss briefly some recen
From playlist Mathematics
Opening Remarks and History of the math talks - Peter Sarnak, Hugh Montgomery and Jon Keating
50 Years of Number Theory and Random Matrix Theory Conference Topic: Opening Remarks and History of the math talks Speakers: Peter Sarnak, Hugh Montgomery and Jon Keating Date: June 21 2022
From playlist Mathematics
Covariance (8 of 17) What is the Correlation Coefficient?
Visit http://ilectureonline.com for more math and science lectures! To donate:a http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn what is and how to find the correlation coefficient of 2 data sets and see how it corresponds to the graph of the data
From playlist COVARIANCE AND VARIANCE
Jon Keating: Random matrices, integrability, and number theory - Lecture 4
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
Some probabilistic ideas at the interface of random matrix theory and zeta - Ashkan Nikeghbali
Ashkan Nikeghbali UZH April 3, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
This video explains how to find the correlation coefficient which describes the strength of the linear relationship between two variables x and y. My Website: https://www.video-tutor.net Patreon: https://www.patreon.com/MathScienceTutor Amazon Store: https://www.amazon.com/shop/theorga
From playlist Statistics
Peter Sarnak "Some analytic applications of the trace formula before and beyond endoscopy" [2012]
2012 FIELDS MEDAL SYMPOSIUM Date: October 17, 2012 11.00am-12.00pm We describe briefly some of the ways in which the trace formula has been used in a non comparative way. In particular we focus on families of automorphic L-functions symmetries associated with them which govern the distrib
From playlist Number Theory
Intro to the Correlation Coefficient
Brief intro to the correlation coefficient. What it means to have negative correlation, positive correlation or zero correlation. Pearson's, sample and population formulas.
From playlist Correlation
Emanuel Carneiro: Extremal functions, hilbert spaces, and bounds for the Riemann zeta function
The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 15.7.2014
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Scatterplots, Part 3: The Formula Behind the Correlation Coefficient
We use the Scatterplots & Correlation app to explain the formula behind the correlation coefficient. The app allows you to find and plot the z-scores, showing the 4 quadrants in which points on the scatterplot can fall.
From playlist Chapter 3: Relationships between two variables