Year: 2012
Type: article
Abstract: For a sequence of subadditive potentials, a method of choosing state points with negative growth rates for an ergodicdynamical system was given in [5]. This paper firstgeneralizes this result to the non-ergodic dynamics, and thenproves that under some mild additional hypothesis, one can choosepoints with negative growth rates from a positive Lebesgue measureset, even if the system does not preserve any measure that isabsolutely continuous with respect to Lebesgue measure.
Authors: Eleonora Catsigeras, Yun Zhao
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2107562050