33 citations · 101 across the 19 of their papers we have counts for
5 papers · 1 filter
Letter counting: a stem cell for Cryptology, Quantitative Linguistics, and Statistics
Bernard Ycart
Counting letters in written texts is a very ancient practice. It has accompanied the development of Cryptology, Quantitative Linguistics, and Statistics. In Cryptology, counting fr…
Alberti's letter counts
Bernard Ycart
Four centuries before modern statistical linguistics was born, Leon Battista Alberti (1404--1472) compared the frequency of vowels in Latin poems and orations, making the first qua…
Fluctuation analysis with cell deaths
Bernard Ycart
The classical Luria-Delbrück model for fluctuation analysis is extended to the case where cells can either divide or die at the end of their generation time. This leads to a family…
A case of mathematical eponymy: the Vandermonde determinant
Bernard Ycart
We study the historical process that led to the worldwide adoption, throughout mathematical research papers and textbooks, of the denomination "Vandermonde determinant". The mathem…
Statistics for the Luria-Delbrück distribution
Agnès Hamon, Bernard Ycart
The Luria-Delbrück distribution is a classical model of mutations in cell kinetics. It is obtained as a limit when the probability of mutation tends to zero and the number of divis…