281 citations · 467 across the 12 of their papers we have counts for
12 papers
Random walks and random fixed-point free involutions
T. H. Baker, P. J. Forrester
A bijection is given between fixed point free involutions of with maximum decreasing subsequence size and two classes of vicious (non-intersecting) random wal…
Transformation formulae for multivariable basic hypergeometric series
T. H. Baker, P. J. Forrester
We study multivariable (bilateral) basic hypergeometric series associated with (type ) Macdonald polynomials. We derive several transformation and summation properties for such…
Random matrix ensembles with an effective extensive external charge
T. H. Baker, P. J. Forrester, P. A. Pearce
Recent theoretical studies of chaotic scattering have encounted ensembles of random matrices in which the eigenvalue probability density function contains a one-body factor with an…
Isomorphisms of type affine Hecke algebras and multivariable orthogonal polynomials
T. H. Baker, P. J. Forrester
We examine two isomorphisms between affine Hecke algebras of type associated with parameters , and , . One of them maps the non-symmetric Macdonald polyn…
Symmetric Jack polynomials from non-symmetric theory
T. H. Baker, P. J. Forrester
The theory of non-symmetric Jack polynomials is developed independently of the theory of symmetric Jack polynomials, and this theory together with the relationship between the non-…
Multivariable Al-Salam & Carlitz polynomials associated with the type A q-Dunkl kernel
T. H. Baker, P. J. Forrester
The Al-Salam & Carlitz polynomials are -generalizations of the classical Hermite polynomials. Multivariable generalizations of these polynomials are introduced via a generating…