Aurel I. Stan

activity

20102020

most citedAn extension of the Beckner's type Poincaré inequality to convolution measures on abstract Wiener spaces

3 citations · 3 across the 3 of their papers we have counts for

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math.PR2020

1--Meixner random vectors

Aurel I. Stan, Florin Catrina

A definition of $d$ --dimensional $n$ --Meixner random vectors is given first. This definition involves the commutators of their semi--quantum operators. After that we will focus on…

math.PR2014★ 3 cited

An extension of the Beckner's type Poincaré inequality to convolution measures on abstract Wiener spaces

Paolo Da Pelo, Alberto Lanconelli, Aurel I. Stan

We generalize the Beckner's type Poincaré inequality \cite{Beckner} to a large class of probability measures on an abstract Wiener space of the form $μ ⋆ ν$ , where $μ$ is the ref…

math.PR2010

Two dimensional Meixner random vectors of class $M_{L}$

Aurel I. Stan

The paper is divided into two parts. In the first part we lay down the foundation for defining the joint annihilation-preservation-creation decomposition of a finite family of, not…

1--Meixner random vectors

An extension of the Beckner's type Poincaré inequality to convolution measures on abstract Wiener spaces

Two dimensional Meixner random vectors of class ML​

Two dimensional Meixner random vectors of class $M_{L}$