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Dynamics, Geometry and Groups Seminar
Friday, September 20th, 2024

Time: 11:30 a.m.  Place: Jeffery Hall, Room 202

Speaker: Neil MacVicar (°ÄÃÅÁùºÏ²Ê¿ª½±ÏÖ³¡)

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.