45 citations · 165 across the 23 of their papers we have counts for
4 papers · 1 filter
Magnetostatic problems in fractal domains
Simone Creo, Maria Rosaria Lancia, Paola Vernole +2
We consider a magnetostatic problem in a 3D "cylindrical" domain of Koch type. We prove existence and uniqueness results for both the fractal and pre-fractal problems and we invest…
From non-symmetric particle systems to non-linear PDEs on fractals
Joe P. Chen, Michael Hinz, Alexander Teplyaev
We present new results and challenges in obtaining hydrodynamic limits for non-symmetric (weakly asymmetric) particle systems (exclusion processes on pre-fractal graphs) converging…
Magnetic fields on resistance spaces
Michael Hinz, Luke Rogers
On a metric measure space that supports a regular, strongly local resistance form we consider a magnetic energy form that corresponds to the magnetic Laplacian for a particle c…
Dirac and magnetic Schrödinger operators on fractals
Michael Hinz, Alexander Teplyaev
In this paper we define (local) Dirac operators and magnetic Schrödinger Hamiltonians on fractals and prove their (essential) self-adjointness. To do so we use the concept of 1-for…