This paper reviews some results regarding symbolic dynamics, correspondence
between languages of dynamical systems and combinatorics. Sturmian sequences
provide a pattern for investigation of one-dimensional systems, in particular
interval exchange transformation. Rauzy graphs language can express many
important combinatorial and some dynamical properties. In this case
combinatorial properties are considered as being generated by substitutional
system, and dynamical properties are considered as criteria of superword being
generated by interval exchange transformation. As a consequence, one can get a
morphic word appearing in interval exchange transformation such that
frequencies of letters are algebraic numbers of an arbitrary degree.
Concerning multydimensional systems, our main result is the following. Let
P(n) be a polynomial, having an irrational coefficient of the highest degree. A
word w(w=(w_n), n\in \nit) consists of a sequence of first binary numbers
of {P(n)} i.e. wnβ=[2{P(n)}]. Denote the number of different subwords
of w of length k by T(k) .
\medskip {\bf Theorem.} {\it There exists a polynomial Q(k), depending only
on the power of the polynomial P, such that T(k)=Q(k) for sufficiently
great k.