Some Arguments in Equidistribution - Lecture 1
Explore fundamental concepts of ergodic theory, from measure-preserving systems to Birkhoff's theorem, with applications to circle rotations and flows on the 2-torus.
Some Arguments in Equidistribution - Lecture 5
Delve into advanced concepts of equidistribution theory, exploring measure preservation, ergodicity, and the Birkhoff ergodic theorem through practical examples and mathematical proofs.
Some Arguments in Equidistribution - Lecture 8
Delve into advanced concepts of ergodic theory, including measure preservation, Birkhoff's theorem, and hyperbolic automorphisms through practical examples and mathematical proofs.
The Mathematics of Scales and Modes - Maths and Music
Explore mathematical framework for scales and modes using 12-tone chromatic scale. Learn interval sequences, scale types, and connections to clock arithmetic and discrete calculus.
Measuring Weight - Elementary Mathematics Explained
Explore the fundamentals of weight measurement, from ancient techniques to modern systems. Learn about scales, metric units, and practical applications in everyday life and science.
Exploring the MASCHINE+ Auto Sampler - Native Instruments
Explore MASCHINE+ Auto Sampler's creative potential for sound design, CPU optimization, and unique instrument sampling. Learn techniques for transforming sounds and expanding your music production capabilities.
Hammers + Waves from Skybox Audio - Native Instruments
Explore skybox Audio's innovative piano collections, featuring robotic sampling for a human touch. Product specialist demonstrates acoustic, chime, electric, and prepared instruments.
Corinna Ulcigrai - Dynamics and Arithmetics of Higher Genus Surface Flows
Explore dynamics of higher genus surface flows, examining discrete systems, arithmetic conditions, and ergodic integrals. Gain insights into mixing, shearing, and local linearization techniques.
Mini-course on Hardy Spaces - Part 3
Explore Hardy spaces with a focus on rotation, generalization, and approximate identities. Delve into uniform boundedness, Poisson PR constructions, and harmonic functions.
Artin Reciprocity via Spheres
Explore Artin reciprocity through spheres, covering functionality, logical construction, global fields, spectra, and K theory in this advanced mathematics lecture.
Inverse Problems and the Anisotropic Calderón Conjecture
Explore geometric inverse problems, focusing on the Calderon Problem and its anisotropic variant. Learn about harmonic functions, complex geometric optics, and wave equation properties in this advanced mathematics lecture.
Donald Coxeter and Geometry
Explore Donald Coxeter's contributions to geometry, including non-Euclidean geometries, higher dimensions, and connections to art and music in this engaging mathematical journey.
A Categorical Description of Discriminants
Explore a categorical approach to discriminants in toric homological mirror symmetry, including B-side categories, spherical functors, and K-theoretic evidence. Joint work with Ludmil Katzarkov presented.
Non-Archimedean Quantum K-Theory and Gromov-Witten Invariants
Explore non-archimedean geometry's role in Gromov-Witten invariants, focusing on derived approaches, K-theory, and motivic cohomology. Learn about geometric relations and their implications for numerical invariants.
Mixing for Nonlinear PDEs, Perturbed by Bounded Random Forces - I
Explore mixing phenomena in nonlinear PDEs under bounded random perturbations. Gain insights into mathematical techniques for analyzing stochastic partial differential equations.
Dynamics of the Geodesic Flow on Surfaces Without Conjugate Points - Lecture 4
Explore geodesic flow dynamics on surfaces without conjugate points, focusing on uniqueness and ergodicity of maximal entropy measure and mixing properties of the flow.
Ergodicity in Smooth Dynamics - Lecture 9
Explore ergodicity in smooth dynamics with expert Amie Wilkinson, delving into advanced mathematical concepts and their applications in dynamical systems.
Ergodicity in Smooth Dynamics - Lecture 5
Explore ergodicity in smooth dynamics with experts Rodriguez-Hertz and Wilkinson, delving into advanced concepts and applications in this comprehensive lecture.
Ergodicity in Smooth Dynamics - Lecture 4
Explore ergodicity in smooth dynamics with expert Amie Wilkinson, delving into advanced mathematical concepts and their applications in dynamical systems.
Ergodicity in Smooth Dynamics - Lecture 2
Explore advanced concepts in ergodic theory and smooth dynamical systems, focusing on measure-preserving transformations and their properties in continuous-time systems.
Introduction to Ergodic Theory - Lecture 5
Explore fundamental concepts and applications of ergodic theory, delving into mathematical principles that govern long-term behavior of dynamical systems.