18 citations · 20 across the 4 of their papers we have counts for
5 papers
Path counting and rank gaps in differential posets
Christian Gaetz, Praveen Venkataramana
We study the gaps between consecutive rank sizes in -differential posets by introducing a projection operator whose matrix entries can be expressed in terms of the number…
The monic Laguerre polynomials preserve real-rootedness
Praveen S. Venkataramana
Let and be the th Laguerre and associated Laguerre polynomial respectively. Fisk proved that the linear operator sending to preserves real-roo…
On the growth of Stanley sequences
David Rolnick, Praveen S. Venkataramana
A set is said to be \emph{3-free} if no three elements form an arithmetic progression. Given a 3-free set of integers , the \emph{Stanley sequence} $S(A)=…
On -analogs of some integrals over GUE
Praveen S. Venkataramana
Statistics over the Gaussian unitary ensemble and the Wishart ensemble of random matrices often have nice closed-form expressions. These are related to multivariate extensions of t…
The Beta-Wishart Ensemble
Alexander Dubbs, Alan Edelman, Plamen Koev +1
This paper proves a matrix model for the Wishart Ensemble with general covariance and general dimension parameter beta. In so doing, we introduce a new and elegant definition of Ja…