4 citations · 10 across the 6 of their papers we have counts for
8 papers
Quasi-infinite divisibility of a class of distributions with discrete part
David Berger, Merve Kutlu
We consider distributions on that can be written as the sum of a non-zero discrete distribution and an absolutely continuous distribution. We show that such a distribu…
Second order elliptic partial differential equations driven by Lévy white noise
David Berger, Farid Mohamed
This paper deals with linear stochastic partial differential equations with variable coefficients driven by Lévy white noise. We first derive an existence theorem for integral tran…
On multivariate quasi-infinitely divisible distributions
David Berger, Merve Kutlu, Alexander Lindner
A quasi-infinitely divisible distribution on is a probability distribution on whose characteristic function can be written as the quotient of the…
A Cramér--Wold device for infinite divisibility of -valued distributions
David Berger, Alexander Lindner
We show that a Cramér--Wold device holds for infinite divisibility of -valued distributions, i.e. that the distribution of a -valued random vector i…
Lévy driven linear and semilinear stochastic partial differential equations
David Berger
The goal of this paper is twofold. In the first part we will study Lévy white noise in different distributional spaces and solve equations of the type , where $p…
Lévy driven CARMA generalized processes and stochastic partial differential equations
David Berger
We give a new definition of a Lévy driven CARMA random field, defining it as a generalized solution of a stochastic partial differential equation (SPDE). Furthermore, we give suffi…