12 citations · 26 across the 5 of their papers we have counts for
5 papers
Spectral properties of graphs associated to the Basilica group
Antoni Brzoska, Courtney George, Samantha Jarvis +2
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 $…
Spectra of Magnetic Operators on the Diamond Lattice Fractal
Antoni Brzoska, Aubrey Coffey, Madeline Rooney +2
We adapt the well-known spectral decimation technique for computing spectra of Laplacians on certain symmetric self-similar sets to the case of magnetic Schrodinger operators and w…
Power dissipation in fractal AC circuits
Joe P. Chen, Luke G. Rogers, Loren Anderson +8
We extend Feynman's analysis of an infinite ladder circuit to fractal circuits, providing examples in which fractal circuits constructed with purely imaginary impedances can have c…
Dual graphs and modified Barlow--Bass resistance estimates for repeated barycentric subdivisions
Daniel J. Kelleher, Antoni Brzoska, Hugo Panzo +1
We prove Barlow--Bass type resistance estimates for two random walks associated with repeated barycentric subdivisions of a triangle. If the random walk jumps between the centers o…
Analysing properties of the C. Elegans neural network: mathematically modeling a biological system
Daniel J. Kelleher, Tyler M. Reese, Dylan T. Yott +1
The brain is one of the most studied and highly complex systems in the biological world. It is the information center behind all vertebrate and most invertebrate life, and thus has…