Approximating the invariant densities of transformations with infinitely many pieces on the interval
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- by P. Góra and A. Boyarsky PDF
- Proc. Amer. Math. Soc. 105 (1989), 922-928 Request permission
Abstract:
Let $I = [0,1]$ and $\tau :I \to I$ be a piecewise continuous, expanding transformation with infinitely many pieces of monotonicity. We construct a sequence of transformations $\left \{ {{\tau _n}} \right \}$, each having a finite partition, such that their invariant densities converge in ${L_1}$ to the invariant density of $\tau$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 922-928
- MSC: Primary 58F11
- DOI: https://doi.org/10.1090/S0002-9939-1989-0953006-3
- MathSciNet review: 953006