by Luke Brown, Giovanni Ferrer, Gamal Mograby, Luke G. Rogers, Karuna Sangam

We consider criteria for the differentiability of functions with continuous Laplacian on the Sierpinski Gasket and its higher-dimensional variants $$SG_N$$, N>3, Continue reading →

by Antoni Brzoska, Courtney George, Samantha Jarvis, Luke G. Rogers, Alexander Teplyaev

We provide the foundation of the spectral analysis of the Laplacian on the orbital Schreier graphs of the basilica group, the iterated monodromy group of the quadratic polynomial $$z^2−1$$. Continue reading →