Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Self-affine Systems and Hausdorff Dimension Theory - Lecture 2A

Simons Semester on Dynamics via YouTube

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the mathematical foundations of self-affine systems in this 45-minute lecture from the Simons Semester on Dynamics series. Delve into the dimension theory of iterated function systems (IFS), moving beyond well-understood conformal transformations to examine the more complex realm of non-conformal maps, particularly affine transformations. Learn how to calculate the Hausdorff dimension of planar self-affine sets under specific conditions of strong separation of cylinders and strong irreducibility of linear parts. Study both foundational work by Falconer and recent mathematical developments through collaborative research with Antti Kaenmaki, Mike Hochman, and Ariel Rapaport.

Syllabus

Balázs Bárány (Budapest University of Technology and Economics), lecture 2a

Taught by

Simons Semester on Dynamics

Reviews

Start your review of Self-affine Systems and Hausdorff Dimension Theory - Lecture 2A

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.