2002/12/01 by Jean Écalle · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Advanced Algebra and Geometry
paper · doi:10.1142/9789812776549_0006
openalex publication_date 2002/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
Abstract. Two new, fast-developing, but at first sight completely diconnected subjects have turned out to be governed by a common underlying structure. These two subjects are: the specific singularities, Stokes phenomena and resurgence patterns exhibited by singularly perturbed systems; and the phenomenon of dimorphy (existence of a double product) displayed not only by the so-called multizeta values but by a host of other basic transcendental constants. As for the unifying structure, it is the novel Lie algebra ARI which, together with its group GARI and a number of related constructions, is a fascinating object in its own right. Contents