How to compute Selberg like Integrals

Matthieu Deneufchatel

Description

How to compute Selberg-like Integrals? Matthieu Deneufchatel Laboratoire d'Informatique de Paris Nord, Universite Paris 13 Joint work with J.-G. Luque, C. Carre, P. Vivo Journees Montoises d'Informatique Theorique, 8 September 2010

• journees montoises d'informatique theorique


• functions ?-ring


• random matrix


• selberg


• unitary constraint


• sums - selberg integral

Sujets

• Random matrix
• Selberg

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 29
• Langue: English

Extrait

How to compute Selberg-like Integrals?

MatthieuDeneufchˆatel

Laboratoire d’Informatique de Paris Nord, Universit´eParis13

JointworkwithJ.-G.Luque,C.Carr´e,P.Vivo

JourneesMontoisesd’InformatiqueTh´eorique, ´ 8 September 2010

omocwtHolbSetepuekil-grelargetnIMeufc.DenleL(ˆhta1P)3PI-Ns?JM20102/17

Outline

Some theory about symmetric functions λ-ring structure Deformation of the usual scalar product Jack and Macdonald polynomials

2

Simplifications and algorithm

3

Computation and asymptotics of the power sums - Selberg integral Decomposition ofp µ in the Jack basis Conjectures

4

Physical motivation of the problem

1