On the $x$-$y$ Symmetry of Correlators in Topological Recursion via Loop Insertion Operator

Addition of certain non-commuting random variables

D. Voiculescu · 1986

Earlier work this paper cites.

Rational theories of 2-D gravity from the two matrix model

J. M. Daul, V. A. Kazakov, and I. K. Kostov · 1993

Earlier work this paper cites.

On discrete surfaces: Enumerative geometry, matrix models and universality classes via topological recursion

Original

E. Garcia-Failde · 2002

Earlier work this paper cites.

Large N expansion of the 2 matrix model

B. Eynard · 2003

Earlier work this paper cites.

Free energy topological expansion for the 2-matrix model

L. Chekhov, B. Eynard, and N. Orantin · 2006

Earlier work this paper cites.

Second order freeness and fluctuations of random matrices, iii. higher order freeness and free cumulants

B. Collins, J. A. Mingo, P. Sniady, and R. Speicher · 2007

Earlier work this paper cites.

Invariants of algebraic curves and topological expansion

B. Eynard and N. Orantin · 2007

Cited alongside, same era.

Topological expansion of mixed correlations in the Hermitian 2-matrix model and x x - y y symmetry of the F g F_{g} algebraic invariants

Original

B. Eynard and N. Orantin · 2007

Cited alongside, same era.

Explicit closed algebraic formulas for Orlov-Scherbin n n -point functions

Original

B. Bychkov, P. Dunin-Barkowski, M. Kazarian, and S. Shadrin · 2008

Cited alongside, same era.

Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures

Original

J. Branahl, A. Hock, and R. Wulkenhaar · 2008

Cited alongside, same era.

Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type

Original

Topological recursion for fully simple maps from ciliated maps

Original

G. Borot, S. Charbonnier, and E. Garcia-Failde · 2021

Later among the works it cites.

Analytic theory of higher order free cumulants

Original

G. Borot, S. Charbonnier, E. Garcia-Failde, F. Leid, and S. Shadrin · 2021

Later among the works it cites.

Generalised ordinary vs fully simple duality for n n -point functions and a proof of the Borot–Garcia-Failde conjecture

Original

B. Bychkov, P. Dunin-Barkowski, M. Kazarian, and S. Shadrin · 2021

Later among the works it cites.

Genus one free energy contribution to the quartic Kontsevich model

Original

J. Branahl and A. Hock · 2021

Later among the works it cites.

Blobbed topological recursion of the quartic Kontsevich model II: Genus=0