Calculus of Variations and Integral Equations
In this course you will learn, Calculus of Variations, Integral Equations, Concepts of the calculus of variations, Variational problems with the fixed boundaries, Variational problems with moving boundaries, etc.
Optimal Control, Guidance and Estimation
Comprehensive exploration of optimal control theory, guidance systems, and estimation techniques for aerospace applications, covering LQR, dynamic programming, and Kalman filters.
Mathematics
Explore advanced mathematical concepts including closed sets, matrices, calculus variations, probability, and complex analysis. Gain insights into diverse topics for a comprehensive understanding of higher mathematics.
Principle of Least Action and Lagrange's Equations of Mechanics - Basics of Calculus of Variations
Explore variational principles in mechanics, including the Principle of Least Action and Lagrange's equations. Learn calculus of variations techniques and their applications in physics and engineering problems.
From Frank Ramsey to René Thom: Beyond Optimization
Explorez les problèmes d'optimisation en calcul des variations issus de la théorie économique et découvrez une nouvelle approche de solution basée sur les EDO implicites de Thom.
Desigualdade Isoperimétrica - PAPMEM Janeiro 2024
Explore a desigualdade isoperimétrica em matemática avançada. Aprofunde seus conhecimentos sobre geometria e cálculo, aprimorando suas habilidades de ensino no nível médio.
Persistence in Functional Topology
Explore functional topology's evolution, connecting persistent homology to critical point theory and calculus of variations. Gain insights into Morse's theory and its application to minimal surfaces.
Exploring Variational Functions - Calculus of Variations and Geometric Measure Theory
Dive into variational problems and bounded Hessian functions with Luigi Ambrosio. Explore the intersection of Calculus of Variations and Geometric Measure Theory, inspired by machine learning insights.
Waists, Widths and Symplectic Embeddings
Explore geometric measures of manifolds and their applications to symplectic embeddings. Discover area estimates for minimal submanifolds and quantitative symplectic camels in this advanced mathematics talk.
Entropy and C^0 Stability of Hypersurfaces - IPAM at UCLA
Explore entropy's role in hypersurface complexity, focusing on sphere rigidity, stability properties, and generalizations in higher dimensions. Gain insights into cutting-edge research in geometric analysis.
Topological Properties of Hypersurfaces with Low Entropy - IPAM at UCLA
Explore topological properties of hypersurfaces with low entropy, focusing on Colding-Minicozzi entropy, mean curvature flow, and closed hypersurfaces in this advanced mathematics lecture.
Singularities and Diffeomorphism - IPAM at UCLA
Explore singularities and diffeomorphism in calculus of variations, covering special cases, classification, and applications in probability and geometry.
Harmonic Analysis Techniques for -Almost- Minimizers
Explore harmonic analysis techniques for (almost-)minimizers, focusing on free boundary theory and calculus of variations. Learn about applications to geometric measure theory and domain geometry.
Regularity of Free Boundaries in Obstacle Problems - Lecture III
Explore free boundary problems in PDE, focusing on regularity of solutions and interfaces. Learn about Stefan and obstacle problems, key results, and current research challenges.
Regularity of Free Boundaries in Obstacle Problems Lecture I
Explore regularity of free boundaries in obstacle problems, covering key concepts, proofs, and current research in this mathematical field of PDE and Geometric Measure Theory.
On Yuansi Chen's Work on the KLS Conjecture III
Explores recent progress on the KLS conjecture in high-dimensional geometry, focusing on Eldan's Stochastic Localization technique and its implications for the slicing problem.
On Yuansi Chen's Work on the KLS Conjecture I
Explore the KLS conjecture in high-dimensional geometry, its implications for Bourgain's slicing problem, and recent progress using Eldan's Stochastic Localization technique.
On Ulam's Problem 19 and Related Problems - IPAM at UCLA
Explore uniqueness problems related to Ulam's Problem 19 from the Scottish book, presented by Dima Ryabogin at IPAM's Calculus of Variations workshop.
On a Conjectural Symmetric Version of the Ehrhard Inequality
Explores a conjectural symmetric version of Ehrhard's inequality for Gaussian measures, discussing minimizers, equality cases, and connections to Brascamp-Leib inequality on convex sets.
Size of Line Intersections in High Dimensional L_p-Balls and Product Measures
Explore high-dimensional geometry with Bo'az Klartag as he discusses line intersections in L_p-balls and product measures, examining the isodiametric inequality and its implications.
Variational Proofs of Isoperimetric Inequalities
Explore variational proofs of isoperimetric inequalities, their generalizations, and open problems in this advanced mathematics lecture by Steven Heilman at IPAM's workshop.