Dunkl Theory

  • Rationnal Dunkl Theory (state of the art 12 years ago) :
    → M. Rösler : Dunkl operators (theory and applications) in "Orthogonal polynomials and special functions"

  • Théorie de Dunkl trigonométrique (state of the art 14 years ago) :
    → E.M. Opdam : Lecture notes on Dunkl operators for real and complex reflection groups , Math. Soc. Japan Mem. 8 (2000)

  • Probabilistic aspect in Dunkl theory (state of the art 7 years ago) :
    → P. Graczyk, M. Rösler, M. Yor (eds.) : Harmonic and stochastic analysis of Dunkl processes, Travaux en cours 71, Hermann (2008)

  • Double affine Hecke algebra and their links with special functions :
    → I.G. Macdonald : Affine Hecke algebras and orthogonal polynomials, Cambridge Tracts Math. 157, Cambridge Univ. Press (2003)
    → I. Cherednik : Double affine Hecke algebras, London Math. Soc. Lect. Note Ser. 319, Cambridge Univ. Press (2005)

Enumerative Combinatorics

  • coming soon !

On Random Walks