We define two families of deformations of probability measures depending on the second free cumulants and the corresponding new associative convolutions arising from the conditionally free convolution. These deformations do not commute with dilation of measures, which means that the limit theorems cannot be obtained as a direct application of the theorems for the conditionally free case. We calculate the general form of the central and Poisson limit theorems. We also find the explicit form for three important examples
Summary. We show that the sum of two free random variables can have a free Poisson law without any o...
In this talk we will explain recent results with Daniel Perales where we define cumulants for finite...
In this talk we will explain recent results with Daniel Perales where we define cumulants for finite...
We describe the limit measures for some class of deformations of the free convolution, introduced by...
Abstract. A family of transformations on the set of all probability measures on the real line is int...
A family of transformations on the set of all probability measures on the real line is introduced, w...
We define a product of algebraic probability spaces equipped with two states. This product is called...
Chistyakov G, Götze F. Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MAT...
Abstract. Based on a new analytical approach to the definition of additive free convo-lution on prob...
Abstract. The paper deals with stochastically compact sequences of scalar modifications of powers of...
Thesis (PhD) - Indiana University, Mathematics, 2005We study convolutions that arise from noncommuta...
AbstractLet {Xn}∞n=1be a sequence of free, identically distributed random variables with common dist...
The dissertation is in Random Matrix Theory, a field at the interface of probability theory, mathema...
In this paper additive bi-free convolution is defined for general Borel probability measures, and th...
The dissertation is in Random Matrix Theory, a field at the interface of probability theory, mathema...
Summary. We show that the sum of two free random variables can have a free Poisson law without any o...
In this talk we will explain recent results with Daniel Perales where we define cumulants for finite...
In this talk we will explain recent results with Daniel Perales where we define cumulants for finite...
We describe the limit measures for some class of deformations of the free convolution, introduced by...
Abstract. A family of transformations on the set of all probability measures on the real line is int...
A family of transformations on the set of all probability measures on the real line is introduced, w...
We define a product of algebraic probability spaces equipped with two states. This product is called...
Chistyakov G, Götze F. Limit theorems in free probability theory II. CENTRAL EUROPEAN JOURNAL OF MAT...
Abstract. Based on a new analytical approach to the definition of additive free convo-lution on prob...
Abstract. The paper deals with stochastically compact sequences of scalar modifications of powers of...
Thesis (PhD) - Indiana University, Mathematics, 2005We study convolutions that arise from noncommuta...
AbstractLet {Xn}∞n=1be a sequence of free, identically distributed random variables with common dist...
The dissertation is in Random Matrix Theory, a field at the interface of probability theory, mathema...
In this paper additive bi-free convolution is defined for general Borel probability measures, and th...
The dissertation is in Random Matrix Theory, a field at the interface of probability theory, mathema...
Summary. We show that the sum of two free random variables can have a free Poisson law without any o...
In this talk we will explain recent results with Daniel Perales where we define cumulants for finite...
In this talk we will explain recent results with Daniel Perales where we define cumulants for finite...