We study the maximum function of any R+-rational formal series S in two commuting variables, which assigns to every integer n N, the maximum coefficient of the monomials of degree...
Christian Choffrut, Massimiliano Goldwurm, Violett...
We prove in this paper that if r and s are two semilinear power series in commuting variables and s has bounded coefficients, then r-s is a rational series. This result can be tho...
We introduce an extension of the derivatives of rational expressions to expressions denoting formal power series over partially commuting variables. The expressions are purely non...
Soittola's theorem characterizes R+- or N-rational formal power series in one variable among the rational formal power series with nonnegative coefficients. We present here a...
Motivated by problems of pattern statistics, we study the limit distribution of the random variable counting the number of occurrences of the symbol a in a word of length n chosen...
Alberto Bertoni, Christian Choffrut, Massimiliano ...