Geodesic
A Bound on the Number of Invariant Measures
Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 123-124

Voir la notice de l'article provenant de la source Cambridge University Press

For τ a piecewise C2 transformation, we present a method for obtaining an upper bound for the number of independent absolutely continuous measures invariant under τ.Let τ = [0,1] and let τ:I→ J be a piecewise C2transformation with infI1 |dτ/dx| > 1, where I1= I-P and P denotes the points of discontinuity of τ and τ′
DOI : 10.4153/CMB-1981-022-9
Mots-clés : 28DOS 
Boyarsky, Abraham. A Bound on the Number of Invariant Measures. Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 123-124. doi: 10.4153/CMB-1981-022-9
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[1] 1. Lasota, A. and Yorke, J. A., On the existence of invariant measures for piecewise monotonie transformations, Trans. Amer. Math. Soc. 186 (1962), 481-488. Google Scholar

[2] 2. Li, T.Y. and Yorke, J. A., Ergodic transformations from an interval into itself, Trans. Amer. Math. Soc. 235 (1962), 183-192. Google Scholar

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