3 citations · 7 across the 10 of their papers we have counts for
12 papers
Explicit descriptions of all 1-Meixner random vectors
Florin Catrina, Andrzej Derdzinski, Aurel I. Stan
The 1-Meixner random vectors consist of real-valued random variables, having finite moments of all orders, for which the commutators between their joint semi-quantum operators…
Meixner random variables and their quantum operators
Nobuaki Obata, Aurel I. Stan, Hiroaki Yoshida
We find the position-momentum decomposition of the quantum operators of the classic Meixner random variables. The position-momentum decomposition involves translation operators, wh…
Correlated dynamics of Immune Network and sl(3,R) Symmetry algebra
R. Dutta, A. I. Stan
We observed existence of periodic orbit in immune network under transitive solvable lie algebra. In this paper, we focus to develop condition of maximal Lie algebra for immune netw…
Conformal folding Dynamics of Amyloid - Oligomer in Neuronal Dysfunction
R. Dutta, Aurel Stan
In this work, we develop model for neuronal degeneration based on polymer chain folding dynamics and their connectivity in various scale. In the first phase, we just developed the…
1--Meixner random vectors
Aurel I. Stan, Florin Catrina
A definition of --dimensional --Meixner random vectors is given first. This definition involves the commutators of their semi--quantum operators. After that we will focus on…
A sharp interpolation between the Hölder and Gaussian Young inequalities
Paolo Da Pelo, Alberto Lanconelli, Aurel I. Stan
We prove a very general sharp inequality of the Hölder--Young--type for functions defined on infinite dimensional Gaussian spaces. We begin by considering a family of commutative p…