72 citations · 145 across the 33 of their papers we have counts for
3 papers · 1 filter
On a two variable class of Bernstein-Szego measures
Antonia M. Delgado, Jeffrey S. Geronimo, Plamen Iliev +1
The one variable Bernstein-Szego theory for orthogonal polynomials on the real line is extended to a class of two variable measures. The polynomials orthonormal in the total degree…
Determination of the spectral gap in the Kac model for physical momentum and energy conserving collisions
Eric A. Carlen, Jeffry S. Geronimo, Michael Loss
The Kac model describes the local evolution of a gas of particles with three dimensional velocities by a random walk in which the steps correspond to binary collisions that con…
Bispectrality of multivariable Racah-Wilson polynomials
Jeffrey S. Geronimo, Plamen Iliev
We construct a commutative algebra A_x of difference operators in R^p, depending on p+3 real parameters which is diagonalized by the multivariable Racah polynomials R_p(n;x) consid…