Wick order, spreadability and exchangeability for monotone commutation relations

V Crismale, F Fidaleo, ME Griseta - Annales Henri Poincaré, 2018 - Springer
We exhibit a Hamel basis for the concrete*∗-algebra M _o M o associated to monotone
commutation relations realised on the monotone Fock space, mainly composed by Wick …

Distributions for nonsymmetric monotone and weakly monotone position operators

V Crismale, ME Griseta, J Wysoczański - Complex Analysis and Operator …, 2021 - Springer
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 …

Weakly monotone Fock space and monotone convolution of the Wigner law

V Crismale, ME Griseta, J Wysoczański - Journal of Theoretical Probability, 2020 - Springer
We study the distribution (with respect to the vacuum state) of a family of partial sums S_m S
m of position operators on weakly monotone Fock space. We show that any single operator …

[PDF][PDF] Limits of some weighted Cesaro averages

V Crismale, F Fidaleo, YG Lu - arXiv preprint arXiv:1611.03339, 2016 - arxiv.org
arXiv:1611.03339v2 [math.FA] 5 Dec 2016 Page 1 arXiv:1611.03339v2 [math.FA] 5 Dec 2016
LIMITS OF SOME WEIGHTED CESARO AVERAGES VITONOFRIO CRISMALE, FRANCESCO …

Vacuum distribution, norm and spectral properties for sums of monotone position operators

V Crismale, YG Lu - arXiv preprint arXiv:1812.08688, 2018 - arxiv.org
We investigate the spectrum for partial sums of m position (or gaussian) operators on
monotone Fock space based on $\ell^ 2 (\mathbb {N}) $. In the basic case of the first …

Quantum Markov Semigroups with Unbounded Generator and Time Evolution of the Support Projection of a State

S Gliouez, S Hachicha, I Nasroui - Open Systems & Information …, 2018 - World Scientific
Quantum Markov Semigroups with Unbounded Generator and Time Evolution of the
Support Projection of a State Page 1 Open Systems & Information Dynamics Vol. 25, No. 1 (2018) …

Generic Quantum Markov Semigroups with Degenerate Ground States: The Fock Case

S Hachicha, I Nasraoui - Open Systems & Information Dynamics, 2018 - World Scientific
We consider quantum Markov semigroups arising from the weak coupling limit of a system
with generic Hamiltonian coupled to a boson Fock zero temperature reservoir. We find all …

[PDF][PDF] QUANTUM DISTRIBUTIONAL SYMMETRIES I: ROTATABILITY

V CRISMALE, F FIDALEO, S ROSSI - 2021 - mat.uniroma2.it
In probability theory, the so-called distributional symmetries of stochastic processes play a
fundamental role in many situations. As an example, we mention De Finetti theorem (s) and …

[PDF][PDF] CV AND PUBLICATIONS LIST

F FIDALEO - anvur.it
[26] Del Vecchio S., Fidaleo F., Rossi S. Invariant conditional expectations and unique
ergodicity for the Anzai skew-product, preprint 2021.[27] Dykema K., Fidaleo F. Unique …