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» On the Maximum Coefficients of Rational Formal Series in Com...
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DLT
2004
13 years 5 months ago
On the Maximum Coefficients of Rational Formal Series in Commuting Variables
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...
BIRTHDAY
2003
Springer
13 years 8 months ago
On the Difference Problem for Semilinear Power Series
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...
Ion Petre
TCS
2008
13 years 2 months ago
Extension of Brzozowski's derivation calculus of rational expressions to series over the free partially commutative monoids
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...
Jean Berstel, Christophe Reutenauer
TCS
2008
13 years 4 months ago
Another proof of Soittola's theorem
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...
Jean Berstel, Christophe Reutenauer
MST
2006
81views more  MST 2006»
13 years 4 months ago
Local Limit Properties for Pattern Statistics and Rational Models
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 ...