5 papers
Jacobi polynomials on the simplex of Hermitian matrices and zonal spherical functions on partial flag manifolds
Teije Kuijper
We introduce the radial part of the Laplace--Beltrami operator on partial flag manifolds and study its eigenfunctions, the elementary zonal spherical functions. These eigenfunction…
Brownian motion and stochastic areas on complex partial flag manifolds with blocks of equal size
Teije Kuijper
We construct a Brownian motion on complex partial flag manifolds with blocks of equal size as a matrix-valued diffusion from a Brownian motion on the unitary group. This constructi…
Quaternionic stochastic areas on quaternionic full flag manifolds and applications
Fabrice Baudoin, Teije Kuijper, Jing Wang
We show that a Brownian motion on the quaternionic full flag manifold can be represented as a matrix-valued diffusion obtained in a simple way from a symplectic Brownian motion. By…
Brownian motion and stochastic areas on complex full flag manifolds
Fabrice Baudoin, Nizar Demni, Teije Kuijper +1
We show that the Brownian motion on the complex full flag manifold can be represented by a matrix-valued diffusion obtained from the unitary Brownian motion. This representation ac…
On the law of the index of Brownian loops related to the Hopf and anti-de Sitter fibrations
Fabrice Baudoin, Teije Kuijper
We give explicit formulas and asymptotics for the distribution of the index of the Brownian loop in the following geometrical settings: the complex projective line from which two p…