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SUMMARY:Yan Huang (Chongqing University)
DTSTART:20250429T120000Z
DTEND:20250429T130000Z
DTSTAMP:20260423T035959Z
UID:OWNS/148
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/148/">T
 he Coincidence of Rényi–Parry Measures for β-Transformation</a>\nby Ya
 n Huang (Chongqing University) as part of One World Numeration seminar\n\n
 \nAbstract\nWe present a complete characterization of two non-integers wit
 h the same Rényi-Parry measure.\nWe prove that for two non-integers $\\be
 ta_1 \,\\beta_2 >1$\,  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 $p\\leq q$\, and $\\beta_2 = \\beta_1 + 1$\, which confirms a conj
 ecture of Bertrand-Mathis in [A. Bertrand-Mathis\, Acta Math. Hungar. 78\,
  no. 1-2 (1998):71–78].\n
LOCATION:https://researchseminars.org/talk/OWNS/148/
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