Year: 2021
Type: preprint
Abstract: We study open zooming systems and potentials with uniqueness of equilibrium states. The uniqueness is established for a certain class of zooming potentials when the map is topologically exact, including the null one. Also, with equilibrium stability, we prove that there exists a countable and an open sets of continuous potentials with uniqueness which are both dense in the set of continuous potentials with finiteness. The results here are related to the works [14] and [49] where finiteness and stability are studied.
Source: arXiv (Cornell University)
Authors: Bilbao, Rafael A., Santana, Eduardo
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4388787237