activity
20172022
most citedFunctional relations for higher-order free cumulants

5 citations · 22 across the 7 of their papers we have counts for

collaborators

11 papers

math.CO2022★ 3 cited

Topological recursion for Orlov-Scherbin tau functions, and constellations with internal faces

Valentin Bonzom, Guillaume Chapuy, Séverin Charbonnier +1

We study the correlators arising from Orlov-Scherbin 2-Toda tau functions with rational content-weight , at arbitrary values of the two sets of time parameters. Com…

math.AG2022★ 4 cited

Shifted Witten classes and topological recursion

Séverin Charbonnier, Nitin Kumar Chidambaram, Elba Garcia-Failde +1

The Witten -spin class defines a non-semisimple cohomological field theory. Pandharipande, Pixton and Zvonkine studied two special shifts of the Witten class along two semisimpl…

math.OA2021★ 5 cited

Functional relations for higher-order free cumulants

Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde +2

We establish the functional relations between generating series of higher-order free cumulants and moments in higher-order free probability, solving an open problem posed fifteen y…

math.GT2021

Around the combinatorial unit ball of measured foliations on bordered surfaces

Gaëtan Borot, Séverin Charbonnier, Vincent Delecroix +2

The volume of the unit ball -- with respect to the combinatorial length function -- of the space of measured foliations o…

math.CO2021★ 2 cited

Topological recursion for fully simple maps from ciliated maps

Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde

Ordinary maps satisfy topological recursion for a certain spectral curve . We solve a conjecture from arXiv:1710.07851 that claims that fully simple maps, which are maps wi…

math.CO2021★ 5 cited

Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers

Raphaël Belliard, Séverin Charbonnier, Bertrand Eynard +1

Kontsevich introduced certain ribbon graphs as cell decompositions for combinatorial models of moduli spaces of complex curves with boundaries in his proof of Witten's conjecture.…