17 citations · 26 across the 3 of their papers we have counts for
4 papers
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…
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…
Mixtures of classical and free independence
Roland Speicher, Janusz Wysoczanski
We revive the concept of Lambda-freeness of Mlotkowski, which describes a mixture of classical and free independence between algebras of random variables. In particular, we give a…
Non-commutative Lévy processes for generalized (particularly anyon) statistics
Marek Bozejko, Eugene Lytvynov, Janusz Wysoczanski
Let . Let a function satisfy and . A generalized statistics is described by creation operators a…