Irreducibility of the Dispersion Polynomial for Periodic Graphs

Autor:	Faust, Matthew, Garcia, Jordy Lopez
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematical Physics Mathematics - Spectral Theory 47A75 (Primary) 14M25 52B20 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We use methods from algebra and discrete geometry to study the irreducibility of the dispersion polynomial of a discrete periodic operator associated to a periodic graph after changing the period lattice. We provide numerous applications of these results to discrete periodic operators associated to families of graphs which include dense periodic graphs, and a family containing the hexagonal and diamond lattices. Comment: 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.11534 Zobrazit plný text záznamu View this record from Arxiv