Ergodic theorems in quantum probability: an application to the monotone stochastic processes
V Crismale, F Fidaleo, YG Lu - arXiv preprint arXiv:1505.04688, 2015 - arxiv.org
We give sufficient conditions ensuring the strong ergodic property of unique mixing for $ C^*
$-dynamical systems arising from Yang-Baxter-Hecke quantisation. We discuss whether …
$-dynamical systems arising from Yang-Baxter-Hecke quantisation. We discuss whether …
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces
L Accardi, YG Lu - Infinite Dimensional Analysis, Quantum …, 2022 - World Scientific
The fact that any classical random variable with all moments has a quantum decomposition
allows to associate to it a family of quantum moments. On the other hand, a classical random …
allows to associate to it a family of quantum moments. On the other hand, a classical random …
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 …
nonsymmetric position operators on weakly monotone and monotone Fock spaces …
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces
L Oussi, J Wysoczański - Infinite Dimensional Analysis, Quantum …, 2024 - World Scientific
In this paper, we present analogues of the Poisson limit distribution for the noncommutative
bm-independence, which is associated with several positive symmetric cones. We construct …
bm-independence, which is associated with several positive symmetric cones. We construct …
From discrete to continuous monotone -algebras via quantum central limit theorems
V Crismale, F Fidaleo, YG Lu - Infinite Dimensional Analysis …, 2017 - World Scientific
We prove that all finite joint distributions of creation and annihilation operators in monotone
and anti-monotone Fock spaces can be realised as Quantum Central Limit of certain …
and anti-monotone Fock spaces can be realised as Quantum Central Limit of certain …
Interacting Fock spaces and the moments of the limit distributions for quantum random walks
CK Ko, HJ Yoo - … Analysis, Quantum Probability and Related Topics, 2013 - World Scientific
We investigate the limit distributions of the discrete time quantum random walks on lattice
spaces via a spectral analysis of concretely given self-adjoint operators. We discuss the …
spaces via a spectral analysis of concretely given self-adjoint operators. We discuss the …
[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 …
LIMITS OF SOME WEIGHTED CESARO AVERAGES VITONOFRIO CRISMALE, FRANCESCO …
Gaussian type interacting Fock spaces
YG Lu - Infinite Dimensional Analysis, Quantum Probability and …, 2008 - World Scientific
January 9, 2009 8:48 WSPC/102-IDAQPRT 00330 GAUSSIAN TYPE INTERACTING FOCK
SPACES 1. Introduction Let H be a Hilbert space, it i Page 1 January 9, 2009 8:48 WSPC/102-IDAQPRT …
SPACES 1. Introduction Let H be a Hilbert space, it i Page 1 January 9, 2009 8:48 WSPC/102-IDAQPRT …
[PDF][PDF] On Distributions of Self-Adjoint Extensions of Symmetric Operators
F Fagnola, Z Li - Journal of Stochastic Analysis, 2021 - repository.lsu.edu
In quantum probability a self-adjoint operator on a Hilbert space determines a real random
variable and one can define a probability distribution with respect to a given state. In this …
variable and one can define a probability distribution with respect to a given state. In this …
The support projection of state of QMS with unbounded generator and the classical theorem for Markov chains with analytic transition semi-group
S Gliouez, S Hachicha, I Nasraoui - Stochastics, 2017 - Taylor & Francis
Full article: The support projection of state of QMS with unbounded generator and the classical
theorem for Markov chains with analytic transition semi-group Skip to Main Content Taylor and …
theorem for Markov chains with analytic transition semi-group Skip to Main Content Taylor and …