Asymptotics Courses and Certifications

Fields Institute

Asymptotics of Multivariate Algebraic Generating Functions

Explore the mathematical theory behind asymptotics of multivariate algebraic generating functions in this Fields Institute presentation by Tia Ruza from University of Waterloo.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Subleading Asymptotics of ECH Capacities and Symplectic Packing Problems

Explore subleading asymptotics of ECH capacities in toric domains and their connection to symplectic packing problems, with applications to packing stability failures.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Galileo Galilei Institute (GGI)

Attractors and Asymptotics

Explore the mathematical concepts of attractors and asymptotics in this comprehensive lecture by Michal Spalinski at the Galileo Galilei Institute.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Asymptotics of High Energy Harmonic Maps from Riemann Surfaces - Lecture 3

Explore advanced mathematical analysis of harmonic maps from Riemann surfaces, focusing on high-energy asymptotic behavior in this specialized geometry lecture.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Asymptotics of High Energy Harmonic Maps from Riemann Surfaces - Lecture 2

Explore advanced mathematical analysis of harmonic maps from Riemann surfaces, focusing on high-energy asymptotic behavior and geometric properties in this specialized lecture.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Asymptotics of High Energy Harmonic Maps from Riemann Surfaces - Lecture 1

Explore asymptotic behavior of high-energy harmonic maps from Riemann surfaces in this advanced mathematical analysis lecture by Mike Wolf.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Analysis of Transport Phenomena

Master mathematical modeling techniques for transport phenomena, covering scaling, asymptotics, fluid mechanics, convection, and electrochemical transport in this graduate-level introduction.

• MITx Online
• 2-9 weeks, 10-12 hours a week
• On-Demand
• Free Online Course

Ryan O'Donnell

Factorial Asymptotics, Stirling's Formula - Lecture 3b of CS Theory Toolkit

Explore factorial asymptotics and Stirling's Formula in this graduate-level lecture, covering mathematical techniques for theoretical computer science research.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

The Asymptotics of Betti Numbers in Preferential Attachment Clique Complexes

Explore the higher-order connectivity of preferential attachment networks through Betti numbers, examining growth rates and asymptotic behavior in this advanced mathematical analysis.

• YouTube
• 46 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number

Explores conjectural asymptotics of prime orders of points on elliptic curves over number fields, advancing understanding in arithmetic geometry and modular curve theory.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Asymptotics of Large Autocovariance Matrices by Monika Bhattacharjee

Explore the mathematical intricacies of large autocovariance matrices and their asymptotic behavior in this insightful talk by Monika Bhattacharjee, part of the Asian-Oceanian Women in Mathematics inaugural meeting.

• YouTube
• 33 minutes
• On-Demand
• Free Video

ICTP Mathematics

Asymptotics of the Averaged Characteristic Polynomial for Ginibre Ensemble

Explore asymptotics of averaged characteristic polynomials in Ginibre Ensemble, covering Coulomb gas, Szego curves, orthogonal polynomials, and partition functions in random matrix theory.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Weyl Asymptotics for Poincare-Steklov Eigenvalues in Domains with Lipschitz Boundaries

Explorez les asymptotiques de Weyl pour les valeurs propres de Poincaré-Steklov dans un domaine à frontière lipschitzienne, avec une approche basée sur l'approximation par des problèmes réguliers.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Off-Diagonal Spectral Cluster Asymptotics on Zoll Manifolds

Explore off-diagonal spectral cluster asymptotics on Zoll manifolds, examining universal asymptotic behavior of spectral cluster kernels and implications for monochromatic random waves in Riemannian geometry.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Global Asymptotics of Jack-Deformed Random Young Diagrams via Lukasiewicz Paths

Explores discrete analogues of log-gas systems, examining universal formulas for global asymptotics in various temperature regimes, using weighted lattice paths and revealing phase transition phenomena.

• YouTube
• 50 minutes
• On-Demand
• Free Video