Lecture 1: Roal and Harmonic Analysis by Prof. Thiele
Lecture Series
From playlist Lecture Recordings
Camillo De Lellis: Ill-posedness for Leray solutions of the ipodissipative Navier-Stokes equations
Abstract: In a joint work with Maria Colombo and Luigi De Rosa we consider the Cauchy problem for the ipodissipative Navier-Stokes equations, where the classical Laplacian −Δ is substited by a fractional Laplacian (−Δ)α. Although a classical Hopf approach via a Galerkin approximation shows
From playlist Partial Differential Equations
Jonathan Hickman: The helical maximal function
The circular maximal function is a singular variant of the familiar Hardy--Littlewood maximal function. Rather than take maximal averages over concentric balls, we take maximal averages over concentric circles in the plane. The study of this operator is closely related to certain GMT packi
From playlist Seminar Series "Harmonic Analysis from the Edge"
Ciprian Demeter: Decoupling theorems and their applications
We explain how a certain decoupling theorem from Fourier analysis finds sharp applications in PDEs, incidence geometry and analytic number theory. This is joint work with Jean Bourgain. The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Part
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Mark Veraar: H∞-calculus and the heat equation with rough boundary conditions
Abstract: In this talk we consider the Laplace operator with Dirichlet boundary conditions on a smooth domain. We prove that it has a bounded H∞-calculus on weighted Lp-spaces for power weights which fall outside the classical class of Ap-weights. Furthermore, we characterize the domain of
From playlist Analysis and its Applications
How to find a Harmonic Conjugate Complex Analysis
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to find a Harmonic Conjugate Complex Analysis
From playlist Complex Analysis
On The Complexity of Computing Roots and Residuosity Over Finite Fields - Swastik Kopparty
Swastik Kopparty Member, School of Mathematics February 1, 2011 We study the complexity of computing some basic arithmetic operations over GF(2^n), namely computing q-th root and q-th residuosity, by constant depth arithmetic circuits over GF(2) (also known as AC^0(parity)). Our main resul
From playlist Mathematics
MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015 View the complete course: http://ocw.mit.edu/RES-18-009F15 Instructor: Cleve Moler An ODE involving higher order derivatives is rewritten as a vector system involving only first order deri
From playlist MIT Learn Differential Equations
MAE5790-10 van der Pol oscillator
Origins of the van der Pol oscillator in radio engineering. Strongly nonlinear limit. Liénard transformation. Relaxation oscillations. Weakly nonlinear limit. Energy method for estimating the amplitude of the limit cycle. Reading: Strogatz, "Nonlinear Dynamics and Chaos", Sections 7.4--7.
From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University
Complex analysis: Harmonic functions
This lecture is part of an online undergraduate course on complex analysis. We study the question: when is a function u the real part of a holomorphic function w=u+iv? An easy necessary condition is that u mist be harmonic. We use the Caucy-Riemann equations to show that this condition is
From playlist Complex analysis
Samit Dasgupta: An introduction to auxiliary polynomials in transcendence theory, Lecture I
Broadly speaking, transcendence theory is the study of the rationality or algebraicity properties of quantities of arithmetic or analytic interest. For example, Hilbert’s 7th problem asked ”Is a b always transcendental if a 6= 0, 1 is algebraic and b is irrational algebraic?” An affirmativ
From playlist Harmonic Analysis and Analytic Number Theory
Introduction to additive combinatorics lecture 11.2 --- Part of the proof of Roth's theorem
Roth's theorem, one of the fundamental results of additive combinatorics, states that for every positive δ and every positive integer k there exists a positive integer n such that every subset of {1,2,...,n} of size at least δn contains an arithmetic progression of length 3. (This was late
From playlist Introduction to Additive Combinatorics (Cambridge Part III course)
TU Wien Rendering #26 - Low Discrepancy Sequences
In this segment we explore a subset of Quasi-Monte Carlo methods called low discrepancy series. Examples of this are the Halto and Van der Corput series. These are deterministically generated sample sequences that stratify well even in high dimensional Euclidean spaces. Surprisingly, rando
From playlist TU Wien Rendering / Ray Tracing Course
Linear ODEs with Constant Coefficients: The Harmonic Oscillator
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Partial Differential Equations
Complex Analysis 04: Harmonic Functions
Complex Analysis 04. Harmonic functions and the harmonic conjugate
From playlist MATH2069 Complex Analysis
Martin Stöhr - More is Different NonScalability of Approximation in Modeling Noncovalent Interaction
Recorded 01 April 2022. Martin Stöhr of the University of Luxembourg Department of Physics and Materials Science presents "Why More is Different: The (Non-)Scalability of Approximations in Modeling Non-covalent Interactions" at IPAM's Multiscale Approaches in Quantum Mechanics Workshop. Ab
From playlist 2022 Multiscale Approaches in Quantum Mechanics Workshop
Samit Dasgupta: An introduction to auxiliary polynomials in transcendence theory, Lecture II
Broadly speaking, transcendence theory is the study of the rationality or algebraicity properties of quantities of arithmetic or analytic interest. For example, Hilbert’s 7th problem asked ”Is a b always transcendental if a 6= 0, 1 is algebraic and b is irrational algebraic?” An affirmativ
From playlist Harmonic Analysis and Analytic Number Theory
Decoupling in harmonic analysis and applications to number theory - Jean Bourgain
Jean Bourgain IBM von Neumann Professor, School of Mathematics March 23, 2015 Decoupling inequalities in harmonic analysis permit to bound the Fourier transform of measures carried by hyper surfaces by certain square functions defined using the geometry of the hyper surface. The original
From playlist Mathematics