On Balancing of a Direct Product
- Authors: Restivo, A; Rosone, G
- Publication year: 2009
- Type: Altro
- Key words: Direct Product; Balanced sequences; Combinatorics on Words; Sturmian
- OA Link: http://hdl.handle.net/10447/50066
Abstract
A direct product of two sequences is a naturally defined sequence on the alphabet of pairs of symbols. By taking inspiration from [Pavel Salimov. On uniform recurrence of a direct product. In AutoMathA, 2009], where the author investigates the case of uniformly recurrent words, here, we study when the product of two balanced sequences on binary alphabet is also balanced.