Stochastic Analysis Courses and Certifications

Fields Institute

Cyclic Stochastic Fluid Flows with Time-Varying Generator - Asymptotic Periodic Analysis

Explore asymptotic periodic analysis of cyclic stochastic fluid flows featuring time-varying generators in this advanced mathematical presentation.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Systematic Jump Risk in Stochastic Analysis - Lecture

Explore systematic jump risk in stochastic analysis with Jean Jacod's insightful conference talk on advanced mathematical concepts and applications.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Alan Turing Institute

Deep Learning Volatility - Blanka Horvath, Kings College London

Explore deep learning for option pricing and calibration, including neural network perspectives, rough volatility, and model recognition in financial mathematics.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

A Geometric View on Stochastic Euler Equations

Explore geometric approaches to stochastic Euler equations, combining infinite-dimensional geometry and stochastic analysis to establish local well-posedness of non-linear PDEs.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Regularization by Noise for the Stochastic Transport Equation

Explore regularization by noise for stochastic transport equations, focusing on uniqueness and regularity of solutions under different drift conditions and the impact of Brownian motion.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

High Mode Transport Noise Improves Vorticity Blow Up Control in 3D

Explores regularizing effects of transport noise on 3D Navier-Stokes equations, demonstrating improved vorticity control and well-posedness under specific noise conditions.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Formal Verification of Embedded Linux Systems Using Trace-Based Models

Explore trace-based models for formal verification of embedded Linux systems, focusing on safety-critical aspects, real-time properties, and system instrumentation techniques.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Yudovich Theory for Rough Path Perturbations of Euler's Equation - Lecture 2

Delve into Yudovich Theory for rough path perturbations of Euler's equation in this advanced lecture by Torstein Nilssen, exploring mathematical aspects of fluid flow equations and recent developments in the field.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

A Short but Up-to-Date Introduction to Partially Parabolic or Dissipative Systems - Lecture 1

Dive into the mathematical foundations of fluid dynamics, exploring Euler and Navier-Stokes equations, Onsager's conjecture, and recent breakthroughs in the field of hydrodynamics.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Regularization by Noise - Lecture 5

Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this comprehensive lecture.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Regularization by Noise - Lecture 4

Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this in-depth lecture.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Regularization by Noise - Lecture 3

Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this in-depth lecture.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Statistical Solutions of Fluids and Their Computation

Explore statistical solutions of fluid dynamics and computational methods. Gain insights into Euler and Navier-Stokes equations, Onsager's conjecture, and recent breakthroughs in fluid mechanics research.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Regularization by Noise - Lecture 1

Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this comprehensive lecture.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Regularization by Noise - Lecture 2

Dive into regularization by noise in fluid dynamics, exploring advanced mathematical concepts and their applications to Euler and Navier-Stokes equations in this comprehensive lecture.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video