Publications

Spectrum of the Laplacian on Regular Polyhedra

We study eigenvalues and eigenfunctions of the Laplacian on the surfaces of four of the regular polyhedrons: tetrahedron, octahedron, …
Evan Greif, Daniel Kaplan, Robert Strichartz, Samuel Wiese
DOI DATA

A Convex Surface with Fractal Curvature

We construct an example of a convex surface whose curvature is a fractal measure related to the Sierpinski Gasket. The construction …
Iancu Dima, Rachel Popp, Robert Strichartz, Samuel Wiese
DOI DATA

Spectrum of the Laplacian on Snowflake Domains and filled-in Julia sets

We compute the spectrum of the Laplacian on snowflake domains and chosen filled-in Julia sets, their box-counting dimension and area …
Robert Strichartz, Samuel Wiese
DOI DATA

The Frequency of Convergent Games under Best-Response Dynamics

Generating payoff matrices of normal-form games at random, we calculate the frequency of games with a unique pure strategy Nash …
Samuel Wiese, Torsten Heinrich
arXiv

Spectrum of the Laplacian on the Projective Hexagasket

One way to create new fractals from old fractals is to identify points. We use spectral decimation to investigate the spectrum of the …
Jeffrey Marino, Robert Strichartz, Samuel Wiese

Clockwork Best-Response Dynamics and Equilibrium Convergence in Random Multiplayer Games

We show that the playing sequence–the order in which players update their actions–is a crucial determinant of whether the …
Torsten Heinrich, Yoojin Jang, Luca Mungo, Marco Pangallo, Alex Scott, Bassel Tarbush, Samuel Wiese
arXiv