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math.NT2009
Properties of expansions in complex bases
Vilmos Komornik, Paola Loreti
Expansions in noninteger positive bases have been intensively investigated since the pioneering works of Rényi (1957) and Parry (1960). The discovery of surprising unique expansion…
math.NT2009
Generalized golden ratios of ternary alphabets
Vilmos Komornik, Anna Chiara Lai, Marco Pedicini
Expansions in noninteger bases often appear in number theory and probability theory, and they are closely connected to ergodic theory, measure theory and topology. For two-letter a…
math.NT2006★ 3 cited
Unique expansions of real numbers
Martijn de Vries, Vilmos Komornik
It was discovered some years ago that there exist non-integer real numbers for which only one sequence of integers satisfies the equality $\sum_{i=1}^…