A remark on p-convolution

Rafał Sałapata

Banach Center Publications (2011)

  • Volume: 96, Issue: 1, page 293-298
  • ISSN: 0137-6934

Abstract

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We introduce a p-product of algebraic probability spaces, which is the definition of independence that is natural for the model of noncommutative Brownian motions, described in [10] (for q = 1). Using methods of the conditionally free probability (cf. [4, 5]), we define a related p-convolution of probability measures on ℝ and study its relations with the notion of subordination (cf. [1, 8, 9, 13]).

How to cite

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Rafał Sałapata. "A remark on p-convolution." Banach Center Publications 96.1 (2011): 293-298. <http://eudml.org/doc/286686>.

@article{RafałSałapata2011,
abstract = {We introduce a p-product of algebraic probability spaces, which is the definition of independence that is natural for the model of noncommutative Brownian motions, described in [10] (for q = 1). Using methods of the conditionally free probability (cf. [4, 5]), we define a related p-convolution of probability measures on ℝ and study its relations with the notion of subordination (cf. [1, 8, 9, 13]).},
author = {Rafał Sałapata},
journal = {Banach Center Publications},
keywords = {-product; -convolution; algebraic probability space; conditionally free product; subordination},
language = {eng},
number = {1},
pages = {293-298},
title = {A remark on p-convolution},
url = {http://eudml.org/doc/286686},
volume = {96},
year = {2011},
}

TY - JOUR
AU - Rafał Sałapata
TI - A remark on p-convolution
JO - Banach Center Publications
PY - 2011
VL - 96
IS - 1
SP - 293
EP - 298
AB - We introduce a p-product of algebraic probability spaces, which is the definition of independence that is natural for the model of noncommutative Brownian motions, described in [10] (for q = 1). Using methods of the conditionally free probability (cf. [4, 5]), we define a related p-convolution of probability measures on ℝ and study its relations with the notion of subordination (cf. [1, 8, 9, 13]).
LA - eng
KW - -product; -convolution; algebraic probability space; conditionally free product; subordination
UR - http://eudml.org/doc/286686
ER -

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