Szego limit theorems on the Sierpinski gasket
  We use the existence of localized eigenfunctions of the Laplacian on the Sierpinski gasket to formulate and prove analogues of the strong Szego limit theorem in this fractal setting. Furthermore, we recast some of our results in terms of equally distributed sequences. 
Kasso A. Okoudjou, Luke G. Rogers, Robert S. Strichartz