INI Seminar Room 2 Courses

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Restriction Theorems for Hankel Operators

Delve into advanced mathematical concepts of Hankel operators and restriction theorems through rigorous analysis and theoretical exploration of their properties and applications.

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

A Martingale Approach for the Elephant Random Walk with Stops and the Ewens-Pitman Process

Delve into advanced stochastic processes as Professor Bercu explores martingale approaches for elephant random walks with stops and the Ewens-Pitman process in this mathematical sciences seminar.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Anomalous Thermal Relaxation of Physical Systems

Delve into the mathematical principles of anomalous thermal relaxation in physical systems through an advanced physics seminar exploring stochastic processes and diffusion phenomena.

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

Selector Form of Weaver's Conjecture and Frame Sparsification

Delve into advanced mathematical concepts exploring Weaver's conjecture, frame sparsification, and their applications in high-dimensional spaces through expert analysis and theoretical frameworks.

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

Colliding Surface Waves and Novel Mechanisms of Laser Energy Absorption by Plasma

Explore novel mechanisms of laser energy absorption in plasma, including colliding surface waves and magnetic field applications for electron and ion energy transfer in fusion research.

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

How Helicity Helps Create Finite Dissipation Without Singularities

Delve into advanced fluid dynamics research examining how helicity influences vortex interactions, dissipation patterns, and mathematical modeling of Navier-Stokes equations in various vortex configurations.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Self-gravitating Bosonic and Axionic Systems and a Minimal Model for Pulsar Glitches

Delve into self-gravitating bosonic systems and dark matter halos through numerical simulations, exploring compact object formation, pulsar glitches, and axionic condensates in astrophysical contexts.

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

Non-archimedean Integration on Quotients

Explore advanced mathematical concepts in non-archimedean integration, focusing on quotient singularities, stringy Hodge numbers, and their connections to orbifold formulas and BPS-invariants.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video