no code implementations • 31 Aug 2020 • Joe P. Chen, Federico Sau
Motivated by the recent preprint [arXiv:2004. 08412] by Ayala, Carinci, and Redig, we first provide a general framework for the study of scaling limits of higher order fields.
Probability 60F05, 60K35, 82C22
no code implementations • 12 Sep 2019 • Joe P. Chen, Ruoyu Guo
In this paper we establish the spectrum of the magnetic Laplacian, as a set of real numbers with multiplicities, on the Sierpinski gasket graph ($SG$) where the magnetic fluxes equal $\alpha$ through the upright triangles, and $\beta$ through the downright triangles.
Mathematical Physics Mesoscale and Nanoscale Physics Combinatorics Mathematical Physics Probability Spectral Theory 05C50, 11C20, 32M25, 37F50, 47A10, 58J50, 82D40
