19 citations · 88 across the 32 of their papers we have counts for
38 papers
Dunkl theory, convolution algebras, and related Markov processes
Margit Rösler, Michael Voit
These lecture notes are intended as an introduction to the theory of rational Dunkl operators, the associated special functions and related Markov processes with an emphasis on exa…
Freezing Limits for Beta-Cauchy Ensembles
Michael Voit
Bessel processes associated with the root systems and describe interacting particle systems with particles on ; they form dynamic versions of the cla…
Wigner- and Marchenko-Pastur-type limits for Jacobi processes
Martin Auer, Michael Voit, Jeannette H. C. Woerner
We study Jacobi processes on the compact spaces and on the noncompact spaces which are motivated by the Heckman-Opdam theory for the roo…
Positivity of Gibbs states on distance-regular graphs
Michael Voit
We study criteria which ensure that Gibbs states (often also called generalized vacuum states) on distance-regular graphs are positive. Our main criterion assumes that the graph ca…
Distances of roots of classical orthogonal polynomials
Michael Voit
Let one of the classical sequences of orthogonal polynomials, i.e., Hermite, Laguerre or Jacobi polynomials. For the roots of we der…
Elementary symmetric polynomials and martingales for Heckman-Opdam processes
Margit Rösler, Michael Voit
We consider the generators of Heckman-Opdam diffusion processes in the compact and non-compact case in dimensions for root systems of type and , with a multiplicit…