Neil MacVicar (Queen's University)
Date
Friday September 20, 202411:30 am - 12:30 pm
Location
202 JEFFERY HALLEvent Category
Dynamics, Geometry and Groups Seminar
Friday, September 20th, 2024
Time: 11:30 a.m. Place: Jeffery Hall, Room 202
Speaker: Neil MacVicar (Queen's University)
Title: When are intersections of Cantor sets self-similar?
Abstract: Let C be the classical middle thirds Cantor set. The set C is an example of a self-similar set. In layman's terms, it is made up of smaller versions of itself. Given a real number t, we will look at conditions on t given by Deng, We, and Hen (2008) that imply that the intersection of C and C + t is also self-similar. We will see how their techniques have been generalized for other Cantor sets.