Probabilistic inequalities | Stochastic processes | Statistical inequalities
In mathematics, the Cheeger bound is a bound of the second largest eigenvalue of the transition matrix of a finite-state, discrete-time, reversible stationary Markov chain. It can be seen as a special case of Cheeger inequalities in expander graphs. Let be a finite set and let be the transition probability for a reversible Markov chain on . Assume this chain has stationary distribution . Define and for define Define the constant as The operator acting on the space of functions from to , defined by has eigenvalues . It is known that . The Cheeger bound is a bound on the second largest eigenvalue . Theorem (Cheeger bound): (Wikipedia).
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From playlist Science Unplugged: General Relativity
General Relativity to Quantum gravity (Intro for dummies?)
Support me on Patreon: https://www.patreon.com/quahntasy A brief introduction to Newtonian Gravity(or Gravity for dummies) ,General Relativity and Quantum gravity (Loop Quantum gravity). The whole idea of general relativity is that matter influence spacetime curvature. Incorporating this i
From playlist Gravity
T. Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 2)
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a lower bound on Ricci curvature. We will first state and prove the laplacian comparison theorem for manifolds with a lower bound on the Ricci curvature, and derive some important consequences
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
T. Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 3)
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a lower bound on Ricci curvature. We will first state and prove the laplacian comparison theorem for manifolds with a lower bound on the Ricci curvature, and derive some important consequences
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
T. Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 4)
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a lower bound on Ricci curvature. We will first state and prove the laplacian comparison theorem for manifolds with a lower bound on the Ricci curvature, and derive some important consequences
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
T. Richard - Lower bounds on Ricci curvature, with a glimpse on limit spaces (Part 1)
The goal of these lectures is to introduce some fundamental tools in the study of manifolds with a lower bound on Ricci curvature. We will first state and prove the laplacian comparison theorem for manifolds with a lower bound on the Ricci curvature, and derive some important consequences
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
D. Semola - Boundary regularity and stability under lower Ricci bounds
The theory of non smooth spaces with lower Ricci Curvature bounds has undergone huge developments in the last thirty years. On the one hand the impetus came from Gromov’s precompactness theorem and the Cheeger-Colding theory of Ricci limit spaces. On the other hand “synthetic” theories of
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
D. Semola - Boundary regularity and stability under lower Ricci bounds (version temporaire)
The theory of non smooth spaces with lower Ricci Curvature bounds has undergone huge developments in the last thirty years. On the one hand the impetus came from Gromov’s precompactness theorem and the Cheeger-Colding theory of Ricci limit spaces. On the other hand “synthetic” theories of
From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics
Universal Law of Gravitation - Part 2 | Physics | Don't Memorise
This video explains the concept of the Universal Law of Gravitation. ✅To learn more about Gravitation, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=lbOXZ2tcTgc&utm_term=%7Bkeyword%7D In this video,
From playlist Physics
Nicolás García Trillos: "From clustering with graph cuts to isoperimetric inequalities..."
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop II: PDE and Inverse Problem Methods in Machine Learning "From clustering with graph cuts to isoperimetric inequalities: quantitative convergence rates of Cheeger cuts on data clouds" Nicolás García Trillos - University of Wisconsin-Madis
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
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From playlist Science Unplugged: General Relativity
Higher-Order Cheeger Inequalities - Luca Trevisan
Luca Trevisan Stanford University March 27, 2012 A basic fact of algebraic graph theory is that the number of connected components in an undirected graph is equal to the multiplicity of the eigenvalue zero in the Laplacian matrix of the graph. In particular, the graph is disconnected if an
From playlist Mathematics
JEE Main Physics Thermodynamics #2 Thermodynamic Process
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 Match List I with List II: List I List II a) isothermal (i) pressure constant b) isochoric
From playlist JEE (MAIN) PHYSICS THERMODYNAMICS
AWESOME SUPERCONDUCTOR LEVITATION!!!
A quantum levitator it's a circular track of magnets above which a razor-thin disc magically levitates, seeming to defy the laws of physics. The key to the levitator is the disc, which is made of superconducting material sandwiched between layers of gold and sapphire crystal. A piece of fo
From playlist THERMODYNAMICS
The structure of noncollapsed Gromov-Hausdorff limit spaces - Jeff Cheeger [2017]
slides for this talk: https://drive.google.com/file/d/1pvkn4Qew5ZHrDpvs9txzFOsFFDqYfA3E/view?usp=sharing Name: Jeff Cheeger Event: Workshop: Geometry of Manifolds Event URL: view webpage Title: The structure of noncollapsed Gromov-Hausdorff limit spaces with Ricci Curvature bounded below
From playlist Mathematics
Universal Gravitational Potential Energy Derivation
Calculus is used to derive the Universal Gravitational Potential Energy equation. Want Lecture Notes? http://www.flippingphysics.com/universal-gravitational-potential-energy-derivation.html This is an AP Physics C: Mechanics topic. Content Times: 0:00 Equation Review 0:41 Conservative For
From playlist JEE Physics Unit 6 - Gravitation and NEET Unit VI - Gravitation
A quick definition of density. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.paypal.
From playlist Chemistry glossary
Ricci Curvature: Some Recent Progress and Open Questions - Jeff Cheeger [2016]
Slides for this talk: https://drive.google.com/open?id=1p9JK7EXKLyy_WxIfbrw02wjjoRm5E1je Name: Jeff Cheeger Event: Simons Collaboration on Special Holonomy Workshop Event URL: view webpage Title: Ricci Curvature: Some Recent Progress and Open Questions Date: 2016-09-09 @1:15 PM Location:
From playlist Mathematics
#Physics #Mechanics #Engineering #NicholasGKK #Shorts
From playlist General Mechanics