3 papers
math-ph2020
Ecalle's paralogarithmic resurgence monomials and effective synthesis
Frederic Fauvet
Paralogarithms constitute a family of special functions, which are some generalizations of hyperlogarithms. They have been introduced by Jean Ecalle in the context of the classific…
math-ph2019
Resurgence and holonomy of the model in zero dimension
Frédéric Fauvet, Frédéric Menous, Julien Quéva
We describe the resurgence properties of some partition functions corresponding to field theories in dimension 0. We show that these functions satisfy linear differential equations…
math.CO2015
The Hopf algebra of finite topologies and mould composition
Frédéric Fauvet, Loïc Foissy, Dominique Manchon
We exhibit an internal coproduct on the Hopf algebra of finite topologies recently defined by the second author, C. Malvenuto and F. Patras, dual to the composition of "quasi-ormou…