The singularity spectrum is a function used in Multifractal analysis to describe the fractal dimension of a subset of points of a function belonging to a group of points that have the same Hölder exponent. Intuitively, the singularity spectrum gives a value for how "fractal" a set of points are in a function. More formally, the singularity spectrum of a function, , is defined as: Where is the function describing the Hölder exponent, of at the point . is the Hausdorff dimension of a point set. (Wikipedia).
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From playlist Science Unplugged: Black Holes
Are there physicists trying to understand singularities?
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From playlist Science Unplugged: Black Holes
The Phantom Singularity | Space Time
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/DonateSPACE Be sure to check out the Infinite Series episode Singularities Explained https://youtu.be/0pIRibivolA or How I Learned to Stop Worrying and Divide by Zero. Support us
From playlist Space Time!
The Technological Singularity Explained Try Dashlane on your first device for FREE: http://dashlane.com/aperture pls get me to 10k on instagram!: https://www.instagram.com/mcewen/ The technological singularity is one of the most popular topics in computer science today. The implications
From playlist Science & Technology 🚀
Astronomy - Ch. 23: Black Holes (4 of 10) Diagram of an Active Black Hole
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn about the different parts, the singularity, Schwartchild radius, event horizon, matter falling into the black hole, acc
From playlist ASTRONOMY 23 BLACK HOLES
C72 What to do about the singular point
Now that we can calculate a solution at analytical points, what can we do about singular points. It turns out, not all singular points are created equal. The regular and irregular singular point.
From playlist Differential Equations
What is a Singularity, Exactly?
The singularity. Both the black hole singularity and the AI singularity. Predictions by Ray Kurzweil. Hi! I'm Jade. Subscribe to Up and Atom for new physics, math and computer science videos every week! *SUBSCRIBE TO UP AND ATOM* https://www.youtube.com/c/upandatom Visit the Up and Ato
From playlist AI
https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu
From playlist Mathematics
Complex analysis: Singularities
This lecture is part of an online undergraduate course on complex analysis. We discuss the different sorts of singularities of a holomorphic function (removable singularities, poles, essential singularities, branch-points, limits of singularities, natural boundaries) and give examples of
From playlist Complex analysis
Commutative algebra 34 Geometry of normalizations
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We discuss the geometric meaning of finite morphisms and normal rings. Finite morphisms have the property that in the map of
From playlist Commutative algebra
André Voros - Resurgent Theta-functions...
Resurgent Theta-functions: a conjectured gateway into dimension D superior at 1 quantum mechanics Resurgent analysis of the stationary Schrödinger equation (exact-WKB method) has remained exclusivelyconfined to 1D systems due to its underlying linear-ODE techniques.Here, b
From playlist Resurgence in Mathematics and Physics
Hypersurface Singularities and Spectral Invariants - Yusuke Kawamoto
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Hypersurface Singularities and Spectral Invariants Speaker: Yusuke Kawamoto Affiliation: ETH Zurich Date: February 17, 2023 We discuss the relation between hypersurface singularities (e.g. ADE, E˜6,E˜7,E˜8,
From playlist Mathematics
A (Potential) Finite-Time Singularity and Thermalization in the 3D Axisymmetric... by Rahul Pandit
DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December
From playlist Statistical Physics of Complex Systems - 2022
The Bouncing Scenario by Patrick Peter
PROGRAM: PHYSICS OF THE EARLY UNIVERSE - AN ONLINE PRECURSOR ORGANIZERS: Robert Brandenberger (McGill University, Montreal, Canada), Jerome Martin (Institut d'Astrophysique de Paris, France), Subodh Patil (Instituut-Lorentz for Theoretical Physics, Leiden, Netherlands) and L Sriramkumar (
From playlist Physics of The Early Universe - An Online Precursor
Symplectic Dynamics of Integrable Hamiltonian Systems - Alvaro Pelayo
Alvaro Pelayo Member, School of Mathematics April 4, 2011 I will start with a review the basic notions of Hamiltonian/symplectic vector field and of Hamiltonian/symplectic group action, and the classical structure theorems of Kostant, Atiyah, Guillemin-Sternberg and Delzant on Hamiltonian
From playlist Mathematics
Spectra of metric graphs and crystalline measures - Peter Sarnak
Members' Seminar Topic: Spectra of metric graphs and crystalline measures Speaker: Peter Sarnak Affiliation: Professor, School of Mathematics Date: February 10, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Integrability in the Laplacian Growth Problem by Eldad Bettelheim
Program : Integrable systems in Mathematics, Condensed Matter and Statistical Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L
From playlist Integrable systems in Mathematics, Condensed Matter and Statistical Physics
Stuff From The Future - What is the Singularity?
Will computers of the future have the ability to design themselves? Is it possible that human beings may be able to download their consciousness onto machines? Join TechStuff's Jonathan Strickland as he takes a closer look at the singularity http://howstuffworks.com http://itunes.apple
From playlist Stuff From the Future
The Spectral Proper Orthogonal Decomposition
I made this video in an attempt to popularize the Spectral POD technique. It is an incredibly powerful analysis tool for understanding the data coming from a multitude of sensors. It elevates the Fourier Transform to a whole new level; hence I call it "The Mother of All Fourier Transforms"
From playlist Summer of Math Exposition 2 videos