The Coincidence of Rényi–Parry Measures for β -Transformation
We present a complete characterization of two different non-integers with the same Rényi–Parry measure. We prove that for two non-integers$\beta _{1},\beta _{2}>1$ , the Rényi–Parry measures coincide if and only if$\beta _{1}$is the root of equation$x^{2}-qx-p=0$ , where$p,q\in \mathbb{N}$with$p\...
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| Published in: | International mathematics research notices 2025-04, Vol.2025 (8) |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Citations: | Items that this one cites |
| Online Access: | Get full text |
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