Work

Equilibrium Stability for Open Zooming Systems

Year: 2025

Type: preprint

Abstract: We prove that for a wide family of open zooming systems and zooming potentials we have equilibrium stability, i.e., the equilibrium states depend continuously on the dynamics and the potential. We consider the open zooming systems with special holes and quite general contractions and zooming potentials with locally Hölder induced potential, which include the Hölder ones. We also prove stability for skew-products with the base being a zooming system like above.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2502.08693

Authors: Bilbao, Rafael A., Santana, Eduardo

Institutions: Pedagogical and Technological University of Colombia, Universidade Federal de Alagoas

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4407570923

Cites:

Cited by:

Related to: 10