Banach Center Courses

On the Boundary of an Immediate Attracting Basin of a Hyperbolic Entire Function

Explore the boundary dynamics of hyperbolic entire functions' immediate attracting basins. Gain insights into complex analysis and dynamical systems theory.

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

Dynamically Defined Random Fractals

Explore dynamically defined random fractals and their mathematical properties through expert insights from Karoly Simon of Budapest University of Technology and Economics.

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

Fast Evaluation of Real and Complex Polynomials

Explore efficient techniques for evaluating real and complex polynomials, enhancing computational skills in mathematical analysis and numerical methods.

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

Estimating Hausdorff Dimension via Iterated Function Schemes

Explore methods for estimating Hausdorff dimension using iterated function schemes, presented by Mark Pollicott from the University of Warwick.

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

Quasisymmetry and Self-Similarity of Siegel Disks

Explore quasisymmetry and self-similarity in Siegel disks, delving into advanced mathematical concepts with Denis Gaidashev from Uppsala University.

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

Changing the Fibered Multiplier of an Attracting Invariant Curve for a QPF Map

Explore techniques for modifying fibered multipliers of attracting invariant curves in quasi-periodically forced maps, enhancing understanding of dynamical systems.

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

Improvement of Newton's Method

Explore advanced techniques to enhance Newton's Method, focusing on optimization and convergence strategies for solving nonlinear equations efficiently.

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

Horn Maps of Semi-Parabolic Hénon Maps

Explore horn maps of semi-parabolic Hénon maps, delving into complex dynamics and mathematical theory with expert Fabrizio Bianchi from the University of Pisa.

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

Cantor Julia Sets

Explore Cantor Julia sets and their mathematical properties through an in-depth analysis by Vyron Vellis from the University of Tennessee, Knoxville.

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

Indecomposable Continua in Exponential Dynamics

Explore indecomposable continua in exponential dynamics, delving into advanced mathematical concepts and their applications.

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

Area Property and Convergence of Thurston's Iteration for Post-Singularly Infinite Entire Functions

Explore Thurston's iteration convergence for post-singularly infinite entire functions, focusing on area property implications and mathematical insights.

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

Constructing Periodic Boundary Points Through Pesin's Theory

Explore Pesin's theory to construct periodic boundary points, delving into advanced mathematical concepts and applications.

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

The Mandelbrot Set and Its Satellite Copies

Explore the fascinating world of the Mandelbrot set and its satellite copies, delving into complex mathematical concepts and intricate geometric patterns.

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

Chaotic Dynamics at the Boundary of a Basin of Attraction via Non-Transversal Intersections for a Non-Global Smooth Diffeomorphism

Explore chaotic dynamics at attraction basin boundaries through non-transversal intersections in non-global smooth diffeomorphisms.

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

Forward Compositions of Inner Functions

Explore forward compositions of inner functions, delving into advanced mathematical concepts and their applications in complex analysis.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video