Topological Expansion in the Cubic Random Matrix Model

DOI10.1093/imrn/rns126zbMath1314.60022arXiv1011.6338OpenAlexW1978690111WikidataQ125931719 ScholiaQ125931719MaRDI QIDQ5250710

Alfredo Deaño, Pavel M. Bleher

Publication date: 22 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6338

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Boundary value problems in the complex plane (30E25) Topological field theories in quantum mechanics (81T45)

Related Items (16)

Investigation of the two-cut phase region in the complex cubic ensemble of random matrices ⋮ Large \(z\) asymptotics for special function solutions of Painlevé II in the complex plane ⋮ Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel–Appell polynomials ⋮ Critical measures for vector energy: global structure of trajectories of quadratic differentials ⋮ Generating series for GUE correlators ⋮ GUE via Frobenius manifolds. I: From matrix gravity to topological gravity and back ⋮ Phase diagram and topological expansion in the complex quartic random matrix model ⋮ Do orthogonal polynomials dream of symmetric curves? ⋮ Topological expansion in the complex cubic log-gas model: one-cut case ⋮ Spectral curves, variational problems and the Hermitian matrix model with external source ⋮ Multiple orthogonal polynomials associated with an exponential cubic weight ⋮ Painlevé I double scaling limit in the cubic random matrix model ⋮ On Airy Solutions of the Second Painlevé Equation ⋮ Multiple scale asymptotics of map enumeration ⋮ Generalised Airy polynomials ⋮ Hankel determinants for a singular complex weight and the first and third Painlevé transcendents

This page was built for publication: Topological Expansion in the Cubic Random Matrix Model