INI Seminar Room 2 Courses

Curved Translation Principle in Generalized Conformal Calculus

Delve into advanced mathematical concepts of curved translation principles and their application in generalized conformal calculus through an expert-led exploration of theoretical frameworks.

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

(2, 3, 5)-Distributions and Contact Lines

Delve into advanced mathematical concepts exploring twistor geometry and its relationship with Schrödinger equations, focusing on (2,3,5)-distributions and contact line theory in mathematical physics.

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

Conformal Aspects of Submanifolds and Curves

Delve into advanced mathematical concepts exploring conformal geometry, focusing on the theoretical foundations and applications of submanifolds and curves in twistor theory.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Partial G-Structures and Partial Cartan Geometries

Delve into advanced mathematical concepts of partial G-structures and Cartan geometries through an in-depth exploration of twistor theory with Professor Andreas Cap.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

The Nonlinear Anderson Problem - A Vital Challenge in Wave Localization

Delve into Anderson localization and wave behavior in disordered media, exploring nonlinear interactions, chaos theory, and quantum mechanics through advanced mathematical frameworks and theoretical models.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Stationary Random Walks with a Switch

Explore the mathematical theory of switching random walks, focusing on invariant measures, recurrence properties, and connections to reflected random walks on positive half-lines.

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

Central Limit Theorem for Superdiffusive Processes

Explore superdiffusive processes and their central limit theorems, focusing on obliquely reflected Brownian motion in parabolic domains and phase transitions in parameter-dependent models.

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

On a Skew Stable Lévy Process - Lecture 3

Delve into advanced stochastic processes with Professor Pilipenko as he explores skew stable Lévy processes, their relationship to Brownian motion, and solutions to stochastic differential equations with local time.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Perturbed Random Walks and Skew Brownian Motion - Lecture 2

Delve into advanced stochastic analysis exploring perturbed random walks, scaling limits, and their convergence to skew Brownian motion through rigorous mathematical frameworks and explicit formulas.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Generalized Skorokhod's Reflecting Problem - Lecture 1

Delve into advanced stochastic theory exploring Skorokhod's reflection problem, focusing on reflected diffusion processes, regime changes, and applications in storage processes and heavy traffic limits.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Polynomial Approximation and Interpolation with Exponential Weights - New Results and Applications

Delve into advanced mathematical concepts of polynomial approximation and interpolation using exponential weights, exploring new findings and practical applications in high-dimensional spaces.

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

A Sparse, Flexible Framework with Confidence Measure Based on the Relevance Vector Machine

Delve into advanced mathematical concepts of Relevance Vector Machine, exploring sparse frameworks and confidence measures for high-dimensional space discretization and recovery.

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

Invariant Measures of the Infinite Atlas Model: Domains of Attraction, Extremality, and Equilibrium Fluctuations

Delve into advanced stochastic systems analysis, focusing on invariant measures of infinite Atlas models, their domains of attraction, and equilibrium fluctuations in mathematical sciences.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Stochastic Epidemic Models with Varying Infectivity and Susceptibility

Explore mathematical modeling of epidemics through stochastic approaches, examining how varying levels of infectivity and susceptibility impact disease spread patterns and population dynamics.

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

Geometric Approach to the Lower Estimates of the Supremum of Some Random Processes

Delve into geometric methods for estimating lower bounds of random process suprema, exploring mathematical approaches with Professor Kashin from the Steklov Mathematical Institute.

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