INVESTIGADORES
BECHER veronica Andrea
artículos
Título:
On the number of words with restrictions on the number of symbols
Autor/es:
BECHER, VERÓNICA; CESARATTO, EDA
Revista:
ADVANCES IN APPLIED MATHEMATICS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2022 vol. 136
ISSN:
0196-8858
Resumen:
We show that, in an alphabet of n symbols, the number of words of length n whose number of different symbols is away from (1−1/e)n, which is the value expected by the Poisson distribution, has exponential decay in n. We use Laplace´s method for sums and known bounds of Stirling numbers of the second kind. We express our result in terms of inequalities.
