116 citations · 767 across the 24 of their papers we have counts for
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nlin.SI2010★ 1 cited
The asymptotic expansion of Tracy-Widom GUE law and symplectic invariants
Gaetan Borot, Bertrand Eynard
We establish the relation between two objects: an integrable system related to Painlevé II equation, and the symplectic invariants of a certain plane curve S(TW). This curve descri…
nlin.SI2010★ 8 cited
Tracy-Widom GUE law and symplectic invariants
Gaetan Borot, Bertrand Eynard
We establish the relation between two objects: an integrable system related to Painleve II equation, and the symplectic invariants of a certain plane curve Σ_{TW} describing the av…
math-ph2010★ 66 cited
Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach
L. O. Chekhov, B. Eynard, O. Marchal
We solve the loop equations of the -ensemble model analogously to the solution found for the Hermitian matrices . For β=1$, the solution was expressed using the algebraic s…