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Orthogonal polynomials in the normal matrix model with a cubic potential
Orthogonal polynomials the normal matrix model Classical Analysis and ODEs
2011/7/27
Orthogonal polynomials in the normal matrix model with a cubic potential.
Loop equations and topological recursion for the arbitrary-$β$ two-matrix model
Loop equations topological recursion two-matrix model
2011/7/25
Abstract: We write the loop equations for the $\beta$ two-matrix model, and we propose a topological recursion algorithm to solve them, order by order in a small parameter. We find that to leading ord...
Matrix Model and Refined Wall-Crossing Formula
Matrix Model Refined Wall-Crossing Formula
2010/12/23
In this paper, we show how to get matrix models corresponding to the refined BPS states partition functions of $\mathbb{C}^3$, resolved conifold and $\mathbb{C}^3/\mathbb{Z}_2$ by inserting the ident...
A solution of the Gross-Witten matrix model by nonlinear random processes
imulation methods planar approximation lattice field theory random processes
2011/1/14
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model.
A general and solvable random matrix model for spin decoherence
general and solvable random matrix model spin decoherence
2010/10/21
We propose and solve a simple but very general quantum model of an SU(2)spin interacting with a large external system with N states. The coupling is described by a random hamiltonian in a new general ...