8.6k citations · 12.1k across the 53 of their papers we have counts for
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Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion
Olivier Marchal, Nicolas Orantin
We prove that the topological recursion formalism can be used to compute the WKB expansion of solutions of second order differential operators obtained by quantization of any hyper…
On the Hurwitz zeta function with an application to the beta-exponential distribution
Julyan Arbel, Olivier Marchal, Bernardo Nipoti
We prove a monotonicity property of the Hurwitz zeta function which, in turn, translates into a chain of inequalities for polygamma functions of different orders. We provide a prob…
On strict sub-Gaussianity, optimal proxy variance and symmetry for bounded random variables
Julyan Arbel, Olivier Marchal, Hien D. Nguyen
We investigate the sub-Gaussian property for almost surely bounded random variables. If sub-Gaussianity per se is de facto ensured by the bounded support of said random variables,…
Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: the case
Olivier Marchal, Nicolas Orantin
In this paper, we show that it is always possible to deform a differential equation with by introducing a sm…