Global eigenvalue distribution regime of random matrices with an anharmonic potential and an external source

DOI10.1007/s11232-009-0036-0zbMath1180.82071OpenAlexW2145797701MaRDI QIDQ1034443

V. G. Lysov, D. N. Toulyakov, Alexander I. Aptekarev

Publication date: 6 November 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-009-0036-0

zbMATH Keywords

eigenvalue distributionmatrix modelBrownian bridgerandom matrixmultiple orthogonal polynomial

Mathematics Subject Classification ID

Brownian motion (60J65) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Random matrices (algebraic aspects) (15B52)

Related Items (8)

Upper bounds for the moduli of zeros of Hermite-Padé approximations for a set of exponential functions ⋮ Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight ⋮ Asymptotics of diagonal Hermite-Padé polynomials for the collection of exponential functions ⋮ On some properties of Hermite-Padé approximants to an exponential system ⋮ The asymptotic form of the Hermite-Padé approximations for a system of Mittag-Leffler functions ⋮ Spectral curves, variational problems and the Hermitian matrix model with external source ⋮ Random matrix model with external source and a constrained vector equilibrium problem ⋮ On expanding neighborhoods of local universality of Gaussian unitary ensembles

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