| Abstract: |
| The generalized Hastings-McLeod solutions to the inhomogeneous Painlev\`e-II equation have arisen in multi-critical unitary random matrices, the chiral two-matrix model for rectangular matrices, non-intersecting squared Bessel paths, and non-intersecting Brownian motions on the circle. We analyze the asymptotic behavior of the generalized Hastings-McLeod solutions as the degree approaches infinity using the Deift-Zhou nonlinear steepest-descent method for Riemann-Hilbert problems. |
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