26 citations · 49 across the 13 of their papers we have counts for
17 papers
Self-Similar Structure of - and Biperiodic Fibonacci Words
Darby Bortz, Nicholas Cummings, Suyi Gao +4
Defining the biperiodic Fibonacci words as a class of words over the alphabet , and two specializations the Fibonacci and classical Fibonacci words, we provide a self-…
Hausdorff Dimension of Generalized Fibonacci Word Fractals
Tyler Hoffman, Benjamin Steinhurst
Fibonacci word fractals are a class of fractals that have been studied recently, though the word they are generated from is more widely studied in combinatorics. The Fibonacci word…
Witt-Burnside functor attached to and -adic Lipschitz continuous functions
Lance Edward Miller, Benjamin Steinhurst
Dress and Siebeneicher gave a significant generalization of the construction of Witt vectors, by producing for any profinite group , a ring-valued functor . This p…
Bond percolation on a non-p.c.f. Sierpiński Gasket, iterated barycentric subdivision of a triangle, and Hexacarpet
Derek Lougee, Benjamin Steinhurst
We investigate bond percolation on the iterated barycentric subdivision of a triangle, the hexacarpet, and the non-p.c.f. Sierpinski gasket. With the use of the diamond fractal, we…
The Casimir Effect on Laakso Sapces
Roberk Kesler, Benjamin Steinhurst
We explore the properties of an analog to the Casimir effect on Laakso spaces such as the dependence on the separation of the plates and boundary effects. We also mention some resu…
Spectral Analysis and Dirichlet Forms on Barlow-Evans Fractals
Benjamin Steinhurst, Alexander Teplyaev
We develop the foundation of the spectral analysis on Barlow-Evans projective limit fractals, or vermiculated spaces, which corresponds to symmetric Markov processes on these space…