9 citations · 20 across the 28 of their papers we have counts for
30 papers
Desargues and the "trait à preuves"
Nicolas Bouleau
Summary. The 'trait {à} preuves' is a 17th century expression that refers to drawings rigorously justified by mathematics. This work is a reflection on the principle of purity of m…
Mental Geometry
Nicolas Bouleau
This article illustrates pedagogy through training in the handling of abstractions. Mental arithmetic is not limited to numerical calculation; one can mentally calculate primitives…
Some Historical Aspects of Error Calculus by Dirichlet Forms
Nicolas Bouleau
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…
How to specify an approximate numerical result
Nicolas Bouleau
The Dirichlet forms methods, in order to represent errors and their propagation, are particularly powerful in infinite dimensional problems such as models involving stochastic anal…
Drichlet forms for Poisson measures and Lévy processes : the lent particle method
Nicolas Bouleau, Laurent Denis
We present a new approach to absolute continuity of laws of Poisson functionals. The theoretical framework is that of local Dirichlet forms as a tool to study probability spaces. T…
Iteration of the lent particle method for existence of smooth densities of Poisson functionals
Nicolas Bouleau, Laurent Denis
In previous works we have introduced a new method called the lent particle method which is an efficient tool to establish existence of densities for Poisson functionals. We now go…