Some Historical Aspects of Error Calculus by Dirichlet Forms

Nicolas Bouleau (1)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique

We discuss the main stages of development of the error calculation since the beginning of XIX-th century by insisting on what prefigures the use of Dirichlet forms and emphasizing the mathematical properties that make the use of Dirichlet forms more relevant and efficient. The purpose of the paper is mainly to clarify the concepts. We also indicate some possible future research.

Mots clés: Laplace; Gauss; error; bias; propagation; Dirichlet form; carré du champ

Domaines: Histoire et perspectives sur les mathématiques [math.HO]; Probabilités [math.PR]

Nicolas Bouleau. Some Historical Aspects of Error Calculus by Dirichlet Forms. 2013. ⟨hal-00927232⟩