Statistical Stability of Interval Maps with Critical Points and Singularities

• Type: Article in International Scientific Journal
• Date: 2025

Authors

alves, jf (Author) FCUP; Gama, D (Author) Other; Luzzatto, S (Author) Other

Journal

Title: Journal of Dynamics and Differential Equations

ISSN: 1040-7294

Publisher: Springer Nature

Indexing

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Other information

Authenticus ID: P-018-TS0

DOI: 10.1007/s10884-025-10432-8

Abstract (EN): We prove strong statistical stability of a large class of one-dimensional maps which may have an arbitrary finite number of non-degenerate critical points and/or singularities, and satisfy some expansion and bounded recurrence conditions. This generalises known results for maps with critical points and bounded derivatives and, in particular, proves statistical stability of Lorenz-like maps with critical points and singularities. We introduce a natural metric on the space of maps with discontinuities which does not seem to have been used before in the literature.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24