Skip to main
Math equations
George Mason University
Events

Geometry MMA Seminar: Rigorous Dimension Estimates for Fractals and How to Find Them

Oct 7, 2024, 10:30 - 11:30 AM

 

Speaker: Erik Wendt, University of Connecticut

Title:  Rigorous Dimension Estimates for Fractals and How to Find Them

 

Abstract:  Estimating the Hausdorff dimension of conformal fractals has been an active area of research since Jarnik's work in the 1920s, with applications in number theory (e.g., Zaremba's conjecture) and hyperbolic geometry (e.g., Patterson-Sullivan theory). While many systems, such as the continued fraction IFS and the Apollonian gasket, have well-established dimension bounds, a broader theoretical and computational framework is lacking. In this talk, I will discuss my thesis research, which aims to bridge this gap, and explore open questions I am currently investigating and those I plan to pursue. 

 

Time: Monday, October 7, 2024 – 10:30am-11:30am

Place: Exploratory Hall, Room 4106