Bulk asymptotics of skew-orthogonal polynomials for quartic double well potential and universality in the matrix model

Saugata Ghosh

We derive bulk asymptotics of skew-orthogonal polynomials (sop) $π^{\bt}_{m}$, $\beta =1$, 4, defined w.r.t. the weight $\exp (-2NV(x))$, $V(x)=g{x}^4/4+t{x}^2/2$, $g>0$ and $t<0$. We assum…