"Infinite left special branches in words associated with beta expansions"@en . . "9" . "Frougny, C." . "Infinite left special branches in words associated with beta expansions"@en . "125;144" . "21340" . . "20"^^ . "[4B867CA5D498]" . "2"^^ . "2007" . . . "In this paper we study the fixed point $u_\\beta$ of the canonical substitution associated to $\\beta$-expansions. For a non-simple Parry number $\\beta$ we determine the structure of infinite left special branches which are an important tool for computation of the complexity of $u_\\beta$. We derive an explicite formula for the complexity of $u_\\beta$ when $\\beta$ is a quadratic Parry number." . "RIV/68407700:21340/07:04137451" . "P(GA201/05/0169), Z(MSM6840770039)" . "3"^^ . "factor complexity"@en . . . "Pelantov\u00E1, Edita" . "426112" . . . . . "Nekone\u010Dn\u00E9 lev\u00E9 speci\u00E1ln\u00ED v\u011Btve slov p\u0159idru\u017Een\u00FDch beta rozvoj\u016Fm"@cs . "Infinite left special branches in words associated with beta expansions" . . . . "In this paper we study the fixed point $u_\\beta$ of the canonical substitution associated to $\\beta$-expansions. For a non-simple Parry number $\\beta$ we determine the structure of infinite left special branches which are an important tool for computation of the complexity of $u_\\beta$. We derive an explicite formula for the complexity of $u_\\beta$ when $\\beta$ is a quadratic Parry number."@en . "1365-8050" . "Mas\u00E1kov\u00E1, Zuzana" . . "FR - Francouzsk\u00E1 republika" . "RIV/68407700:21340/07:04137451!RIV08-GA0-21340___" . "Nekone\u010Dn\u00E9 lev\u00E9 speci\u00E1ln\u00ED v\u011Btve slov p\u0159idru\u017Een\u00FDch beta rozvoj\u016Fm"@cs . . "V \u010Dl\u00E1nku studujeme pevn\u00FD bod $u_\\beta$ kanonick\u00E9 substituce p\u0159i\u0159azen\u00E9 $\\beta$-rozvoj\u016Fm. Pro nejednoduch\u00E9 Parryho \u010D\u00EDslo $\\beta$ popisujeme strukturu nekone\u010Dn\u00FDch lev\u00FDch speci\u00E1ln\u00EDch v\u011Btv\u00ED, kter\u00E9 jsou d\u016Fle\u017Eit\u00FDm n\u00E1strojem pro v\u00FDpo\u010Det faktorov\u00E9 komplexity $u_\\beta$. Odvozujeme explicitn\u00ED vzore\u010Dek pro komplexitu $u_\\beta$, kdy\u017E $\\beta$ je kvadratick\u00E9 Parryho \u010D\u00EDslo."@cs . . "Infinite left special branches in words associated with beta expansions" . "Discrete Mathematics and Theoretical Computer Science" .