Computational Mathematics: Dynamics, Geometry, and Algebra in Numerical Integration
Explore computational mathematics at the intersection of dynamics, geometry, and algebra, focusing on geometric numerical integration and structure-preserving discretization of differential equations.
MM Principle of Optimization - CGSI 2023
Explore the MM Principle of Optimization in computational genomics, covering algorithms, applications in signal processing, and machine learning techniques.
Modeling X with Partial Differential Equations
Explore advanced PDE modeling techniques using NDSolve and finite element methods for engineering applications, including axisymmetric regions and hyperelastic solid mechanics.
Statistical Limits of Causal Inference
Explore fundamental limits of causal effect estimation in observational data, examining personalized effects, non-smooth settings, and discrete scenarios without assuming prior causal inference knowledge.
A Summary of Methods for Solving Differential Equations Involving Automorphic Forms
Explore advanced techniques for solving differential equations with automorphic forms, enhancing mathematical problem-solving skills in complex analysis and number theory.
The Clever Way to Count Tanks - World War II Statistical Analysis
Discover how mathematics and probability solved the mystery of Nazi Germany's tank production during World War II, featuring insights from Dr James Grime on this fascinating historical application.
Signal Recovery, Restriction Theory, and Applications - Lecture 4
Explore signal recovery techniques using Fourier transforms and restriction theory. Delve into improved recovery conditions for multiple transmissions and continuous aspects of the problem.
Automorphisms of Rigid Geometric Structures à la Zimmer-Gromov
Explore automorphisms of rigid geometric structures through Zimmer-Gromov's approach in this advanced mathematics lecture by Karin Melnick.
An Introduction to State-Space Models, Particle Filters, and Sequential Monte Carlo - Lecture 1
Explore state-space models, particle filters, and sequential methods in Bayesian statistics with Nicolas Chopin's comprehensive introduction to these advanced mathematical concepts.
Geometry and Topology of Spaces of Structured Matrices
Explore geometric and topological aspects of structured matrices, including momentum maps, frame spaces, and applications in compressed sensing and graph theory.
Solving PDEs in Domains with Complex Evolving Morphology - Rothschild Lecture
Explore mathematical challenges in solving PDEs on evolving domains, focusing on biological applications. Learn abstract frameworks, well-posedness theory, and numerical methods for complex geometries.
Variational Methods in Image Processing and Advanced Materials Analysis - Kirk Lecture
Explore variational methods in image processing and advanced materials analysis, focusing on density measures, image denoising, and quantum dot formation in semiconductors.
Three Character Archetypes in Energy Optimization - Kirk Lecture
Explore the intersection of pure and applied mathematics in energy optimization through three key figures: Newton, Lagrange, and Moreau. Gain insights into sustainable electricity management.
Torsion in String Topology
Explore torsion in string topology with Florian Naef, delving into algebraic and topological aspects related to the Grothendieck-Teichmüller group.
Factorization of the Calderón Problem Through the Born Approximation
Explore analytic techniques in dynamics and geometry, focusing on the Calderón problem and its factorization through the Born approximation.
Marked Length Spectrum Rigidity for Surfaces with Anosov Geodesic Flows
Explorez les techniques analytiques en dynamique et géométrie, en mettant l'accent sur la rigidité du spectre de longueur marqué pour les surfaces à flux géodésique d'Anosov.
Data to Differential Equations: Discovering Mathematical Models for Biological Systems
Explore data-driven techniques for discovering governing equations in complex biological systems, focusing on PDEs and innovative mathematical methods for modeling phenomena like arterial flow and tissue fracture.
Signal Recovery, Restriction Theory, and Applications - Lecture 2
Explore signal recovery techniques using Fourier transforms and restriction theory, with applications to multiple transmissions and continuous problems in mathematics.
Structure of Feigenbaum Henon Maps
Explore Feigenbaum Henon maps structure in dynamical systems with Mikhail Lyubich's conference talk, part of a broad meeting celebrating Marcelo Viana's 60th birthday at IMPA.
Stability of the Lyapunov Exponents Under Random Noise
Explore stability of Lyapunov exponents under random noise in dynamical systems. Gain insights from expert Silvius Klein at this international mathematics conference celebrating Marcelo Viana's 60th birthday.
Shuffling Cards and Random Matrix Theory
Explore card shuffling and random matrix theory with Stanford's Persi Diaconis in this IMPA 70th anniversary conference talk on mathematical applications in everyday phenomena.