Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry

Bertrand Eynard (SPhT)

arxiv: math-ph/0503052 · v1 · submitted 2005-03-22 · 🧮 math-ph · hep-th· math.MP

Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry

Bertrand Eynard (SPhT) This is my paper

classification 🧮 math-ph hep-thmath.MP

keywords algebraicasymptoticsgeometryintegrabilityorthogonalpolynomialsapproximationcalculation

0 comments

read the original abstract

In this short lecture, we compute asymptotics of orthogonal polynomials, from a saddle point approximation. This is an example of a calculation which shows the link between integrability, algebraic geometry and random matrices.

This paper has not been read by Pith yet.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Fine-Tuning Small Reasoning Models for Quantum Field Theory
cs.LG 2026-04 unverdicted novelty 7.0

Small 7B reasoning models were fine-tuned on synthetic and curated QFT problems using RL and SFT, yielding performance gains, error analysis, and public release of data and traces.