BALANCED WORDS AND MAJORIZATION
Copyright policy )BALANCED WORDS AND MAJORIZATION
When expressed in terms of base-2 expanions, balanced words are majorized by other words of the same slope. Consequently they have smaller standard deviation and larger geometric mean than all words with given arithmetic mean (or slope), they can be expressed as a doubly stochastic average of any such word, and they can be derived from any such word by a finite number of transfers.
- Queen Mary University of London United Kingdom
- University of London United Kingdom
Combinatorial optimization, Combinatorics on words, Mathematical economics, Symbolic dynamics, balanced word, Dynamical systems involving maps of the interval, symbolic dynamics, Numerical methods for mathematical programming, optimization and variational techniques, Sturmian, majorization, optimization
Combinatorial optimization, Combinatorics on words, Mathematical economics, Symbolic dynamics, balanced word, Dynamical systems involving maps of the interval, symbolic dynamics, Numerical methods for mathematical programming, optimization and variational techniques, Sturmian, majorization, optimization
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