Nahlédnutí pod pokličku kombinatoriky na nekonečných slovech
Nabídka vědeckých projektů a přednášek pro střední školy
Factor frequencies in generalized Thue-Morse words
We describe factor frequencies of the generalized Thue-Morse word defined for , as the fixed point starting in of the morphism where and where the letters are expressed modulo . We use the result of Frid [4] and the study of generalized Thue-Morse words by Starosta [6].
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Hašovací funkce a kombinatorika na slovech
Generátory pseudonáhodných čísel založené na nekonečných slovech
Combinatorial and arithmetical properties of infinite words associated with non-simple quadratic Parry numbers
We study some arithmetical and combinatorial properties of -integers for being the larger root of the equation . We determine with the accuracy of 1 the maximal number of -fractional positions, which may arise as a result of addition of two -integers. For the infinite word coding distances between the consecutive -integers, we determine precisely also the balance. The word is the only fixed point of the morphism → and → . In the case , the corresponding infinite word is sturmian, and, therefore,...
Paul Erdős: Život v citátech
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