Ulam Meets Turing: Constructing Quadratic Maps with Non-Computable Physical Measures

Key Points

• Non-computable physical measures are pivotal for understanding quadratic maps and their complexities.
• The analysis demonstrates a new relationship between Ulam's problem and Turing's theories through quadratic mapping.
• Investigation into quadratic maps reveals their potential to expose non-computable measures, expanding computational applications.
• The findings highlight the need for exploring non-computable systems, which may possess unique properties and implications.