Some Historical Aspects of Error Calculus by Dirichlet Forms

2014/01/12 by Nicolas Bouleau, Bouleau, Nicolas · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #History and Overview (math.HO) #History and Theory of Mathematics #Probability (math.PR) #Statistical and Computational Modeling #math.HO #math.PR

paper · pdf · doi:10.48550/arxiv.1401.2644

18 pages

arxiv created 2014/01/12 · openalex publication_date 2014/01/12 · arxiv updated 2014/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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