Generalized q-deformed Gaussian random variables

Marek Bożejko; Hiroaki Yoshida

Banach Center Publications (2006)

  • Volume: 73, Issue: 1, page 127-140
  • ISSN: 0137-6934

Abstract

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We produce generalized q-Gaussian random variables which have two parameters of deformation. One of them is, of course, q as for the usual q-deformation. We also investigate the corresponding Wick formulas, which will be described by some joint statistics on pair partitions.

How to cite

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Marek Bożejko, and Hiroaki Yoshida. "Generalized q-deformed Gaussian random variables." Banach Center Publications 73.1 (2006): 127-140. <http://eudml.org/doc/282334>.

@article{MarekBożejko2006,
abstract = {We produce generalized q-Gaussian random variables which have two parameters of deformation. One of them is, of course, q as for the usual q-deformation. We also investigate the corresponding Wick formulas, which will be described by some joint statistics on pair partitions.},
author = {Marek Bożejko, Hiroaki Yoshida},
journal = {Banach Center Publications},
keywords = {deformed Fock spaces; deformed Gaussian random variables; set partition statistics},
language = {eng},
number = {1},
pages = {127-140},
title = {Generalized q-deformed Gaussian random variables},
url = {http://eudml.org/doc/282334},
volume = {73},
year = {2006},
}

TY - JOUR
AU - Marek Bożejko
AU - Hiroaki Yoshida
TI - Generalized q-deformed Gaussian random variables
JO - Banach Center Publications
PY - 2006
VL - 73
IS - 1
SP - 127
EP - 140
AB - We produce generalized q-Gaussian random variables which have two parameters of deformation. One of them is, of course, q as for the usual q-deformation. We also investigate the corresponding Wick formulas, which will be described by some joint statistics on pair partitions.
LA - eng
KW - deformed Fock spaces; deformed Gaussian random variables; set partition statistics
UR - http://eudml.org/doc/282334
ER -

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