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math.PR2021★ 3 cited
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators
Vitonofrio Crismale, Maria Elena Griseta, Janusz Wysoczanski
We study the vacuum distribution, under an appropriate scaling, of a family of partial sums of nonsymmetric position operators on weakly monotone and monotone Fock spaces, respecti…
math.PR2018
Weakly Monotone Fock Space and Monotone Convolution of the Wigner Law
Vitonofrio Crismale, Maria Elena Griseta, janusz Wysoczanski
We study the distribution (w.r.t. the vacuum state) of family of partial sums Sm of position operators on weakly monotone Fock space. We show that any single operator has the Wigne…