177 citations · 906 across the 50 of their papers we have counts for
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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…
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…
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…
Whittaker vectors for -algebras from topological recursion
Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram +1
We identify Whittaker vectors for -modules with partition functions of higher Airy structures. This implies that Gaiotto vectors, describing the fundam…