Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Rare Event Statistics and Molecular Bet-Hedging in Enzyme Systems

Explore how cells optimize enzyme placement through molecular bet-hedging strategies, revealing localization-delocalization transitions and design principles for synthetic systems.

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

Thymic Selection of T Cells - A Problem in Extreme Value Statistics

Explore how extreme value statistics models T cell selection, analyzing thymic survival rates and CTL recognition of foreign antigens through mathematical frameworks.

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

How Can Superstatistics Approach Be Applied to Investigate Complex Biological Systems

Explore superstatistics framework for modeling complex biological systems, moving beyond traditional analytical approaches with practical examples from environment to cosmic rays.

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

Extreme Statistics in Molecular and Cellular Biology

Explore rare stochastic events in cell biology through asymptotic computations and discover how modeling reveals molecular organizations in synaptic transmission.

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

Mathematical Fluid Dynamics of Atmospheric and Oceanic Flows

Explore mathematical fluid dynamics for atmospheric and oceanic flows, focusing on thin-shell approximation in rotating spherical coordinates and perturbation theory for atmospheric modeling.

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

Balance, Jets and Coherent Structures in Geophysical Fluid Dynamics - Lecture 2

Explore balance, jets, and coherent structures in geophysical fluid dynamics through an in-depth lecture by David Dritschel.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

Balance, Jets and Coherent Structures in Geophysical Fluid Dynamics - Lecture 1

Explore geophysical fluid dynamics, focusing on balance, jets, and coherent structures in planetary-scale flows.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Waves and Wind-Driven Flows in the Ocean - Lecture 1

Explore ocean dynamics through waves and wind-driven flows in this comprehensive lecture, focusing on Kelvin-Stuart vortices and their applications in fluid mechanics and plasma physics.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Waves and Wind-Driven Flows in the Ocean - Lecture 4

Explore Kelvin-Stuart vortices' stability in fluid mechanics, plasma physics, and planetary rings. Analyze nonlinear stability and linear instability for various perturbations.

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

Ocean Diffusivity: Stochastic Approaches in Numerical Modeling

Explore stochastic approaches in ocean modeling, including Monte-Carlo methods, perturbed conditions, and stochastic dissipation operators for improved numerical simulations.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Ocean Modeling: Stochastic Approaches to Numerical Simulations

Explore stochastic approaches in ocean modeling, including Monte-Carlo methods, perturbed initial conditions, and stochastic boundary conditions and dissipation operators for improved numerical simulations.

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

Waves and Wind-Driven Flows in the Ocean - Lecture 3

Explore ocean dynamics through waves and wind-driven flows, focusing on Kelvin-Stuart vortices, their stability, and applications in fluid mechanics and plasma physics.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Waves and Wind-Driven Flows in the Ocean - Lecture 2

Explore Kelvin-Stuart vortices in fluid mechanics, plasma physics, and planetary rings. Analyze stability, applications, and magnetic island equilibria in 2D ideal MHD equations.

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

B∞-Algebra Structures and Their Applications in Mathematics and Physics

Explore B∞-algebra structures, their relation to G∞ algebras, and their appearance in various mathematical contexts. Investigate ongoing research on canonical B∞-algebra structures.

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

Exploring Boundary Conditions of Bicolored Maps: Universal Behaviors and New Structures

Explore boundary conditions of bicolored maps, uncovering universal behaviors and new structures in map enumeration and random map models.

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