5 citations · 6 across the 3 of their papers we have counts for
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SL(2,R) matrix model and supersymmetric Yang-Mills integrals
Miguel Tierz
The density of states of Yang-Mills integrals in the supersymmetric case is characterized by power-law tails whose decay is independent of N, the rank of the gauge group. It is bel…
Chern-Simons matrix models and Stieltjes-Wigert polynomials
Yacine Dolivet, Miguel Tierz
Employing the random matrix formulation of Chern-Simons theory on Seifert manifolds, we show how the Stieltjes-Wigert orthogonal polynomials are useful in exact computations in Che…
Discrete and oscillatory Matrix Models in Chern-Simons theory
Sebastian de Haro, Miguel Tierz
We derive discrete and oscillatory Chern-Simons matrix models. The method is based on fundamental properties of the associated orthogonal polynomials. As an application, we show th…
Brownian Motion, Chern-Simons Theory, and 2d Yang-Mills
Sebastian de Haro, Miguel Tierz
We point out a precise connection between Brownian motion, Chern-Simons theory on S^3, and 2d Yang-Mills theory on the cylinder. The probability of reunion for N vicious walkers on…
Quantum group symmetry and discrete scale invariance: Spectral aspects
Miguel Tierz
We study analytical aspects of a generic q-deformation with q real, by relating it with discrete scale invariance. We show how models of conformal quantum mechanics, in the strong…
Soft matrix models and Chern-Simons partition functions
Miguel Tierz
We study the properties of matrix models with soft confining potentials. Their precise mathematical characterization is that their weight function is not determined by its moments.…