184 citations · 905 across the 15 of their papers we have counts for
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Punctures and p-spin curves from matrix models III. Dl type and logarithmic potential
Shinobu Hikami
The intersection numbers for p spin curves of the moduli space M(g,n) are considered for D type by a matrix model. The asymptotic behavior of the large genus g limit and large p li…
Universal correlations for deterministic plus random Hamiltonians
E. Brezin, S. Hikami, A. Zee
We consider the (smoothed) average correlation between the density of energy levels of a disordered system, in which the Hamiltonian is equal to the sum of a deterministic H0 and o…
Perturbative analysis of an n-Ising model on a random surface
Shinobu Hikami, Edouard Brézin
Two dimensional quantum gravity coupled to a conformally invariant matter field of central charge c=n/2, is represented, in a discretized version, by n independent Ising spins per…
Renormalization Group Approach to Matrix Models
Edouard Brézin, Jean Zinn-Justin
Matrix models of 2D quantum gravity are either exactly solvable for matter of central charge or not understood. It would be useful to devise an approximate scheme whic…
A naive matrix-model approach to two-dimensional quantum gravity coupled to matter of arbitrary central charge
E. Brezin, S. Hikami
In the usual matrix-model approach to random discretized two-dimensional manifolds, one introduces n Ising spins on each cell, i.e. a discrete version of 2D quantum gravity coupled…