A letter to the city: "Jail is not my home"

In 1912, the Norwegian mathematician Axel Thue was the first to describe an overlapfree binary infinite word. This word was generated by a morphism which is called, since the works of Morse, the Thue-Morse morphism.Here we study morphisms, generalizing ...

Nowadays, the concept of urban and urbanism in regards to problems such as increasing population, multiplicity in number of cities, air and noise pollution and traffic jams evolved in deep variation and changes. Recently, with this approach we will face ...

We estimate the extremal letter frequency in infinite words over a finite alphabet avoiding some repetitions. For ternary square-free words, we improve the bounds of Tarannikov on the minimal letter frequency, and prove that the maximal letter frequency ...