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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 269 - seminar in combinatorics
dr. akihiro miyagwa
uc san diego
q-deformation of independent gaussian random variables in non-commutative probability
abstract:
in 1970, frisch and bourret introduced a q-deformation of independent gaussian random variables (say "q-gaussian system"). in one-variable case, q-gaussian is the distribution whose orthogonal polynomials are q-hermite polynomials, and this distribution interpolates between rademacher (q=-1), semicircle (q=0), gaussian (q=1) distribution. in multivariable case, q-gaussian system is represented as a tuple of operators (which are non-commutative in general) on the q-deformed fock space introduced by bożejko and speicher.
in this talk, i will explain related combinatorics (pair partitions and number of crossings) and analysis for q-gaussian system.
january 7, 2025
2:00 pm
apm 7321
research areas
combinatorics****************************
