A non-autonomous p-Adic diffusion equation on time changing graphs

Autor:	Bradley, Patrick Erik, Ledezma, Ángel Morán
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics Mathematics - Probability 35Q68
Druh dokumentu:	Working Paper
Popis:	Motivated by the recently proven presence of ultrametricity in physical models (certain spin glasses) and the very recent study of Turing patterns on locally ultrametric state spaces, first non-autonomous diffusion operators on such spaces, where finitely many compact p-adic spaces are joined by a graph structure, are studied, including their Dirichlet and van Neumann eigenvalues. Secondly, the Cauchy problem for the heat equation associated with these operators is solved, its solution approximated by Trotter products, and thirdly, the corresponding Feller property as well as the Markov property (a Hunt process) is established. Comment: 30 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.21555 Zobrazit plný text záznamu View this record from Arxiv