A Tale of Three Structures : the Arithmetics of Multizetas , the Analysis of Singularities , the Lie algebra

نویسنده

  • Jean Ecalle
چکیده

Two new, fast-developing, but at first sight completely di-connected 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 transcen-dental 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.

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تاریخ انتشار 2002