In this article we consider iterated function systems that contain inverse maps, which we call IFS with inverses. We show that the invariant measures for IFS with inverses agree with the invariant measures for associated graph-directed IFS under the suitable choice of weight.
Citation: Yuki Takahashi. On iterated function systems with inverses[J]. AIMS Mathematics, 2025, 10(4): 9034-9041. doi: 10.3934/math.2025415
In this article we consider iterated function systems that contain inverse maps, which we call IFS with inverses. We show that the invariant measures for IFS with inverses agree with the invariant measures for associated graph-directed IFS under the suitable choice of weight.
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Yuki Takahashi. On iterated function systems with inverses[J]. AIMS Mathematics, 2025, 10(4): 9034-9041. doi: 10.3934/math.2025415
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