October 1, 2020
11:00AM - 11:55AM
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2020-10-01 11:00:00
2020-10-01 11:55:00
Analysis and Operator Theory Seminar - Aurel Stan
Title: 1-Meixner random vectors
Speaker: Aurel Stan
Abstract: A definition of the 1-Meixner random vectors, involving the commutator of the semi-quantum operators and multiplication by the random variable operators (components of the random vector) is presented first. A system of partial differential equations satisfied by the joint Laplace transform of the components of the 1-Meixner random vector, on a neighborhood of zero, is obtained next. We discuss a set of necessary conditions for this system to have a non-zero solution on a neighborhood of zero. Finally, we give a characterization of all 3-dimensional 1-Meixner random vectors.
This is a joint work with Florin Catrina, from St. John's University in New York.
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Add to Calendar
2020-10-01 11:00:00
2020-10-01 11:55:00
Analysis and Operator Theory Seminar - Aurel Stan
Title: 1-Meixner random vectors
Speaker: Aurel Stan
Abstract: A definition of the 1-Meixner random vectors, involving the commutator of the semi-quantum operators and multiplication by the random variable operators (components of the random vector) is presented first. A system of partial differential equations satisfied by the joint Laplace transform of the components of the 1-Meixner random vector, on a neighborhood of zero, is obtained next. We discuss a set of necessary conditions for this system to have a non-zero solution on a neighborhood of zero. Finally, we give a characterization of all 3-dimensional 1-Meixner random vectors.
This is a joint work with Florin Catrina, from St. John's University in New York.
Zoom
Department of Mathematics
math@osu.edu
America/New_York
public
Title: 1-Meixner random vectors
Speaker: Aurel Stan
Abstract: A definition of the 1-Meixner random vectors, involving the commutator of the semi-quantum operators and multiplication by the random variable operators (components of the random vector) is presented first. A system of partial differential equations satisfied by the joint Laplace transform of the components of the 1-Meixner random vector, on a neighborhood of zero, is obtained next. We discuss a set of necessary conditions for this system to have a non-zero solution on a neighborhood of zero. Finally, we give a characterization of all 3-dimensional 1-Meixner random vectors.
This is a joint work with Florin Catrina, from St. John's University in New York.
