1 citations · 1 across the 2 of their papers we have counts for
3 papers
Measurable Riemannian structure on higher dimensional harmonic Sierpinski gaskets
Sara Chari, Joshua Frisch, Daniel J. Kelleher +1
We prove existence of a measurable Riemannian structure on higher-dimensional harmonic Sierpinski gasket fractals and deduce Gaussian heat kernel bounds in the geodesic metric. Our…
Magnetic Laplacians of locally exact forms on the Sierpinski Gasket
Jessica Hyde, Daniel J. Kelleher, Jesse Moeller +2
We give a mathematically rigorous construction of a magnetic Schrödinger operator corresponding to a field with flux through finitely many holes of the Sierpinski Gasket. The opera…
From Self-Similar Structures to Self-Similar Groups
Daniel J. Kelleher, Benjamin A. Steinhurst, Chuen-Ming M. Wong
We explore the relationship between limit spaces of contracting self-similar groups and self-similar structures. We give the condition on a contracting group such that its limit sp…