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math.FA2026
Distribution for nonsymmetric V-monotone position operators
Adrian Dacko, Lahcen Oussi
We investigate the vacuum distribution of a family of partial sums of nonsymmetric position operators, depending on a real parameter , and acting on the discrete Fock space in t…
math.FA2023
Central limit measure for V-monotone independence
Adrian Dacko
We study the central limit distribution for V-monotone independence. Using its Cauchy--Stieltjes transform, we prove that is absolutely continuous with respect to the Lebes…
math.FA2019★ 2 cited
V-monotone independence
Adrian Dacko
We introduce and study a new notion of non-commutative independence, called V-monotone independence, which can be viewed as an extension of the monotone independence of Muraki. We…