We study a topologically exact, negative Schwarzian unimodal map without neutral periodic points whose critical point is non-recurrent and flat. Assuming that the critical order is polynomial or logarithmic, we establish the large deviation principle and provide a partial description of the minimizers of the rate function. We apply our main results to a certain parametrized family of unimodal maps in the same topological conjugacy class, and determine the sets of minimizers.
|Number of pages||22|
|Journal||Journal of the Mathematical Society of Japan|
|Publication status||Published - 2022|
- Flat critical point
- Large deviation principle
- Unimodal map
ASJC Scopus subject areas