Group of continuous transformations of real interval preserving tails of \(G_2\)-representation of numbers

• Datum: 2020
• Hauptverfasser: Pratsiovytyi, M. V., Lysenko, I. M., Maslova, Yu. P.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2020
• Schlagworte: two-symbol system of encoding for real numbers with two bases having different signs (\(G_2\)-representation); tail of representation of number; continuous transformation of interval; left and right shift operators; 11H71; 26A46; 93B1
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1498
• Назва журналу: Algebra and Discrete Mathematics

In the paper, we consider a two-symbol system of encoding for real numbers with two bases having different signs \({g_0<1}\) and \(g_1=g_0-1\). Transformations (bijections of the set to itself) of interval \([0,g_0]\) preserving tails of this representation of numbers are studied. We prove co...