Large deviations theory | Mathematical principles | Asymptotic analysis | Probability theorems
In mathematics — specifically, in large deviations theory — the contraction principle is a theorem that states how a large deviation principle on one space "pushes forward" (via the pushforward of a probability measure) to a large deviation principle on another space via a continuous function. (Wikipedia).
What is length contraction? Length contraction gives the second piece (along with time dilation) of the puzzle that allows us to reconcile the fact that the speed of light is constant in all reference frames.
From playlist Relativity
Proof: The Product Rule of Differentiation
This video explains the proof of the product rule using the limit definition of the derivative. Site: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Differentiation Using the Product Rule
The Product Rule of Differentiation (Introduction)
This video is a new version of the introductory video to the product rule of differentiation. Site: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Differentiation Using the Product Rule
Special Relativity C3 Length Contraction
Relativistic length contraction.
From playlist Physics - Special Relativity
Teach Astronomy - Dynamics of Expansion
http://www.teachastronomy.com/ General relativity makes a strong connection between the dynamics of the universal expansion, which is to say the rate of increase of the size with time, the density of matter, and the curvature of space itself. In an empty universe space is not curved. The
From playlist 22. The Big Bang, Inflation, and General Cosmology
Proof - The Product Rule of Differentiation
This video proves the product rule of differentiation. http://mathispower4u.com
From playlist Calculus Proofs
Product Rule (1 of 2: It's Complicated...)
More resources available at www.misterwootube.com
From playlist Introduction to Differentiation
Special Relativity C2 Length Contraction
Relativistic length contraction.
From playlist Physics - Special Relativity
Large deviations of Markov processes (Part - 1) by Hugo Touchette
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Yier Lin (Columbia) -- Short time large deviations of the KPZ equation
We establish the Freidlin--Wentzell Large Deviation Principle (LDP) for the Stochastic Heat Equation with multiplicative noise in one spatial dimension. That is, we introduce a small parameter $\sqrt{\epsilon}$ to the noise, and establish an LDP for the trajectory of the solution. Such a F
From playlist Columbia SPDE Seminar
Joscha Prochno: The large deviations approach to high-dimensional convex bodies II
Given any isotropic convex body in high dimension, it is known that its typical random projections will be approximately standard Gaussian. The universality in this central limit perspective restricts the information that can be retrieved from the lower-dimensional projections. In contrast
From playlist Workshop: High dimensional spatial random systems
Rules of differentiation -- Calculus I
This lecture is on Calculus I. It follows Part I of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus I
Benjamin Gess: "Large deviations for conservative, stochastic PDE and non-equilibrium fluctuations"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Large deviations for conservative, stochastic PDE and non-equilibrium fluctuations" Benjamin Gess - Universität Leipzig Abstract: Macroscopic fluctuation theory provides a general
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Large deviations theory applied to large scale (...) - P. Reimberg - Workshop 1 - CEB T3 2018
Paulo Reimberg (IPhT) / 20.09.2018 Large deviations theory applied to large scale structure cosmology ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : ht
From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology
Large deviations in periodically driven systems by Grant M Rotskoff
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Joscha Prochno: The large deviations approach to high-dimensional convex bodies, lecture III
Given any isotropic convex body in high dimension, it is known that its typical random projections will be approximately standard Gaussian. The universality in this central limit perspective restricts the information that can be retrieved from the lower-dimensional projections. In contrast
From playlist Workshop: High dimensional spatial random systems
Maria Gordina - Large deviations principle for sub-Riemannian random walks on Carnot groups
Recorded 11 February 2022. Maria Gordina of the University of Connecticut, Mathematics, presents "Large deviations principle for sub-Riemannian random walks on Carnot groups" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: We prove a large deviations princi
From playlist Workshop: Calculus of Variations in Probability and Geometry
Matrix liberation process - Y. Ueda - Workshop 2 - CEB T3 2017
Yoshimichi Ueda / 24.10.17 Matrix liberation process We introduce a natural random matrix counterpart of the so-called liberation process introduced by Voiculescu in the framework of free probability, and consider its possible LDP in the large N limit. ---------------------------------
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
On a local Lyapunov function for the McKean-Vlasov dynamics by Rajesh Sundaresan
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Introduction to Big-Omega Notation
This video introduces Big-Omega notation. http://mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)