Hyperbolic geometry | Riemann surfaces
In mathematics, a Fuchsian model is a representation of a hyperbolic Riemann surface R as a quotient of the upper half-plane H by a Fuchsian group. Every hyperbolic Riemann surface admits such a representation. The concept is named after Lazarus Fuchs. (Wikipedia).
The Atom A5 The Bohr Model of the Hydrogen Atom
The Bohr model of the atom.
From playlist Physics - The Atom
The Atom A4 The Bohr Model of the Hydrogen Atom
The Bohr model of the atom.
From playlist Physics - The Atom
The Atom A3 The Bohr Model of the Hydrogen Atom
The Bohr model of the atom.
From playlist Physics - The Atom
Strong minimality for Painleve equations and Fuchsian equations Strong minimality is a central notion in model theory which has an interpretation in differential algebra as a functional transcendence statement. We will talk about some new proofs of strong minimality for differential equat
From playlist DART X
A quantum Ehrenfest model, in 3D
This is a 3D rendering of a solution of Schrödinger's equation in an Ehrenfest-urns-like configuration, similar to the 2D rendering https://youtu.be/AymX67nEdOo The classical Ehrenfest urn model is a simplified model of a gas contained in two communicating containers, introduced in 1907 b
From playlist Schrödinger's equation
Towards Strong Minimality and the Fuchsian Triangle Groups - J. Nagloo - Workshop 3 - CEB T1 2018
Joel Nagloo (City University of New York) / 29.03.2018 Towards Strong Minimality and the Fuchsian Triangle Groups From the work of Freitag and Scanlon, we have that the ODEs satisfied by the Hauptmoduls of arithmetic subgroups of SL2(Z) are strongly minimal and geometrically trivial. A c
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Parahoric Torsors and Degeneration of Moduli Spaces by Vikraman Balaji
Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
(PP 6.3) Gaussian coordinates does not imply (multivariate) Gaussian
An example illustrating the fact that a vector of Gaussian random variables is not necessarily (multivariate) Gaussian.
From playlist Probability Theory
Ax-Lindemann-Weierstrass Theorem (ALW) for Fuchsian automorphic functions - Joel Nagloo
Joint IAS/Princeton University Number Theory Seminar Topic: Ax-Lindemann-Weierstrass Theorem (ALW) for Fuchsian automorphic functions Speaker: Joel Nagloo Affiliation: City University of New York Date: January 21, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
G. McShane - Volumes of hyperbolics manifolds and translation distances
Schlenker and Krasnov have established a remarkable Schlaffli-type formula for the (renormalized) volume of a quasi-Fuchsian manifold. Using this, some classical results in complex analysis and Gromov-Hausdorff convergence for sequences of open 3-manifolds due to Brock-Bromberg one obtain
From playlist Ecole d'été 2016 - Analyse géométrique, géométrie des espaces métriques et topologie
What is the Bohr model of the atom?
This video looks at the pioneering work of Niels Bohr who proposed a novel model of the atom in 1913 which would lay the foundations for a quantum mechanical treatment ten years later. After discussing the limitations of Thomson's Plum Pudding model and Rutherford's Nuclear model, Bohr's q
From playlist Quantum Physics
Boundaries of quasi-Fuchsian spaces and continuous/discontinuous (Lecture -1) by Ken'ichi Ohshika
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Representations of Fuchsian groups, parahoric group schemes by Vikraman Balaji
DISCUSSION MEETING : MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE : 10 February 2020 to 14 February 2020 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classif
From playlist Moduli Of Bundles And Related Structures 2020
A quantum Ehrenfest model in 3D, shooting straight at the channel
This is the obligatory variant of the video https://youtu.be/4hCrR3_zxJY showing a quantum particle in an Ehrenfest urns-type configuration, in which the initial state is a wave packet aimed directly at the channel connecting the urns. We have seen a 2D version of this situation in the vid
From playlist Schrödinger's equation
John Morgan, Perelman's work on the Poincaré Conjecture and geometrization of 3-manifolds
2018 Clay Research Conference, CMI at 20 Correction: the work cited at 1:02:30 is of Richard Bamler.
From playlist CMI at 20
(ML 19.1) Gaussian processes - definition and first examples
Definition of a Gaussian process. Elementary examples of Gaussian processes.
From playlist Machine Learning
(ML 16.7) EM for the Gaussian mixture model (part 1)
Applying EM (Expectation-Maximization) to estimate the parameters of a Gaussian mixture model. Here we use the alternate formulation presented for (unconstrained) exponential families.
From playlist Machine Learning
Hyperbolic geometry, Fuchsian groups and moduli spaces (Lecture 1) by Subhojoy Gupta
ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME: 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This wi
From playlist Geometry and Topology for Lecturers
Rigidity & flexibility of entropies of boundary maps associated to Fuchsian groups Prof. Katok (PSU)
http://math.columbia.edu/~walterfest/walterfest2020/abstracts/katok.html
We discuss Hossenfelder's recent papers on Quantum Mechanics frameworks, see https://arxiv.org/search/?searchtype=author&query=Hossenfelder Here's my notes while reading the paper, links are found at the beginning of it https://gist.github.com/Nikolaj-K/37faa8a7a7afb5fa376ee09ebba0a545
From playlist Physics