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Ordinary maps satisfy topological recursion for a certain spectral curve $(x, y)$.
Relating ordinary and fully simple maps via monotone Hurwitz numbers
G. Borot, S. Charbonnier, N. Do, and E. Garcia-Failde · 1904
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Planar diagrams
É. Brézin, C. Itzykson, G. Parisi, and J.-B. Zuber · 1978
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Addition of certain non-commuting random variables
D.-V. Voiculescu · 1986
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Two-dimensional gravity and intersection theory on moduli space
E. Witten · 1990
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Intersection theory on the moduli space of curves and the matrix Airy function
M. Kontsevich · 1992
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Algebraic geometry associated with matrix models of two-dimensional gravity
E. Witten · 1993
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Double Hurwitz numbers: polynomiality, topological recursion and intersection theory
G. Borot, N. Do, M. Karev, D. Lewański, and E. Moskowsky · 2002
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E. Garcia-Failde · 2002
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Topological expansion for the 1-hermitian matrix model correlation functions
B. Eynard · 2004
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Graphs on surfaces and their applications
S.K. Lando and A.K. Zvonkin · 2004
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Second order freeness and fluctuations of random matrices: I. Gaussian and Wishart matrices and cyclic Fock spaces
J. Mingo and R. Speicher · 2006
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Lectures on the combinatorics of free probability
A. Nica and R. Speicher · 2006
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Second order freeness and fluctuations of random matrices: III. Higher order freeness and free cumulants
B. Collins, J. Mingo, P. Śniady, and R. Speicher · 2007
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Invariants of algebraic curves and topological expansion
B. Eynard and N. Orantin · 2007
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Explicit enumeration of triangulations with multiple boundaries
M. Krikun · 2007
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Second order freeness and fluctuations of random matrices: II. Unitary random matrices
Think globally, compute locally
V. Bouchard and B. Eynard · 2013
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About the x x - y y symmetry of the F g F_{g} algebraic invariants
B. Eynard and N. Orantin · 2013
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Formal multidimensional integrals, stuffed maps, and topological recursion
G. Borot · 2014
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A generalized topological recursion for arbitrary ramification
V. Bouchard, J. Hutchinson, P. Loliencar, M. Meiers, and M. Rupert · 2014
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J. Mingo, P. Śniady, and R. Speicher · 2007
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B. Eynard and N. Orantin · 2008
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V. Bouchard, A. Klemm, M. Mariño, and S. Pasquetti · 2009
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Higher airy structures and topological recursion for singular spectral curves
G. Borot, R. Kramer, and Y. Schüler · 2010
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Tautological relations and the r r -spin Witten conjecture
C. Faber, S. Shadrin, and D. Zvonkine · 2010
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Counting surfaces
B. Eynard · 2016
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Blobbed topological recursion : properties and applications
G. Borot and S. Shadrin · 2017
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Free probability and random matrices
J. Mingo and R. Speicher · 2017
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Simple maps, Hurwitz numbers, and topological recursion
G. Borot and E. Garcia-Failde · 2020
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Topological recursion for generalised Kontsevich graphs and r r -spin intersection numbers
R. Belliard, S. Charbonnier, B. Eynard, and E. Garcia-Failde · 2021
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