19 citations · 88 across the 32 of their papers we have counts for
8 papers · 1 filter
Positive intertwiners for Bessel functions of type B
Margit Rösler, Michael Voit
Let denote Dunkl's intertwining operator for the root sytem with multiplicity with . It was recently shown that the positivity of the op…
The differential equations associated with Calogero-Moser-Sutherland particle models in the freezing regime
Michael Voit, Jeannette H. C. Woerner
Multivariate Bessel processes describe Calogero-Moser-Sutherland particle models and are related with -Hermite and -Laguerre ensembles. They depend on a root system and a mul…
Some martingales associated with multivariate Jacobi processes and Aomoto's Selberg integral
Michael Voit
We study -Jacobi diffusion processes on alcoves in , depending on 3 parameters. Using elementary symmetric functions, we present space-time-harmonic functions and m…
Some martingales associated with multivariate Bessel processes
Miklos Kornyik, Michael Voit, Jeannette H. C. Woerner
We study Bessel processes on Weyl chambers of types A and B on . Using elementary symmetric functions, we present several space-time-harmonic functions and thus martin…
Limit theorems for Jacobi ensembles with large parameters
Kilian Hermann, Michael Voit
Consider Jacobi random matrix ensembles with the distributions $$c_{k_1,k_2,k_3}\prod_{1\leq i< j \leq N}\left(x_j-x_i\right)^{k_3}\prod_{i=1}^N \left(1-x_i\right)^{\frac{k_1+k_2}{…
Central limit theorems for multivariate Bessel processes in the freezing regime II: the covariance matrices
Sergio Andraus, Michael Voit
Bessel processes in dimensions are classified via associated root systems and multiplicity constants . They describe interacting Calogero-Moser-Suthe…