43 citations · 229 across the 31 of their papers we have counts for
37 papers
Product of exponentials concentrates around the exponential of the sum
Michael Anshelevich, Austin Pritchett
For two matrices and , and large , we show that most products of factors of and factors of are close to . This extends the Lie-Trot…
Hermite trace polynomials and chaos decompositions for the Hermitian Brownian motion
Michael Anshelevich, David Buzinski
For a non-zero parameter , we define Hermite trace polynomials, which are multivariate polynomials indexed by permutations. We prove several combinatorial properties for them, s…
Fock representation of free convolution powers
Michael Anshelevich, Jacob Mashburn
Let be a star-algebra with a state , and . Through a Fock space construction, we define two states and on the tensor algebra such that under the…
Some Fock spaces with depth two action
Michael Anshelevich, Jacob Mashburn
The subject of this paper are operators represented on a Fock space which act only on the two leading components of the tensor. We unify the constructions from arXiv:math/0702158,…
Higher variations for free Lévy processes
Michael Anshelevich, Zhichao Wang
For a general free Lévy process, we prove the existence of its higher variation processes as limits in distribution, and identify the limits in terms of the Lévy-Itô representation…
Product formulas on posets, Wick products, and a correction for the -Poisson process
Michael Anshelevich
We give an example showing that the product and linearization formulas for the Wick product versions of the -Charlier polynomials in (Anshelevich 2004) are incorrect. Next, we o…