2 papers
math.OA2016
Multidimensional Compound Poisson Distributions in Free Probability
Guimei An, Mingchu Gao
Inspired by R. Speicher's multidimensional free central limit theorem and semicircle families, we prove an infinite dimensional compound Poisson limit theorem in free probability,…
math.OA2015
Poisson Processes in Free Probability
Guimei An, Mingchu Gao
We prove a multidimensional Poisson limit theorem in free probability, and define joint free Poisson distributions in a non-commutative probability space. We define (compound) free…