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Tag Archives: fractals
Local Fractal Zeta Functions
The 2020 Joint Mathematics Meetings were held in Denver last week. While at the Joint Meetings, I had the opportunity to present some of my more recent work in the AMS Special on Fractal Geometry, Dynamical Systems, and Applications. Slides … Continue reading
Fractals 6 Slides
On Saturday, I will be presenting some of my recent work, which extends Michel Lapidus’s theory of complex dimensions in \(\mathbb{R}^n\) to a larger class of homogeneous metric measure spaces. In particular, I will be discussing the complex dimensions of … Continue reading
Fractal Music(?)
In the past, I have treated fractals visually. For instance, in my treatment of the Mandelbrot set, I chose points in the complex plane to represent pixels in an image, applied the iterative function \(z_{n+1} = z_{n}^2 + z_0\) to … Continue reading
LEGO Fractals
My daughter has recently started playing with DUPLO blocks pretty consistently, which has me thinking about LEGO—the toy of my youth (and hopefully her’s in a couple of years, too!). In some ways, LEGO is an ideal medium for exploring … Continue reading