PofoliaShared via Pofolia

Journal de l’École polytechnique — Mathématiques· 2026Q1

Hyperbolic absolutely continuous invariant measures for C r one-dimensional maps

Alexandre Delplanque

Short summary

C r maps (r > 1) with a Lyapunov exponent greater than 1/r log ||f'||∞ on a set A of positive Lebesgue measure admit hyperbolic ergodic invariant measures absolutely continuous with respect to Lebesgue measure.

AI-generated from the title and abstract; the full text is not read.

TakeawaysIn the app
Key pointsIn the app
Ask the paperIn the app

The rest is in the Pofolia app

Takeaways, key points and questions to the paper; new summaries every day for your field. Free.

Sign in on the web to open

Field: Mathematical Physics

Mathematical PhysicsMathematics