It is proved that the quantum stochastic gauge integral preserves self-adjointness of vacuum-adapted processes. This fact, together with bounded perturbations and the link between the Hudson–Parthasarathy calculus and vacuum-adapted theory, is used to produce many self-adjoint quantum semimartingales
AbstractWe demonstrate a method for obtaining strong solutions to the right Hudson–Parthasarathy qua...
Quantum stochastic calculus is extended in a new formulation in which its stochastic integrals achie...
Hudson-Parthasarathy (H-P) type quantum stochastic dilation of a class of C0 semigroups of completel...
AbstractWe explore Ω-adaptedness, a variant of the usual notion of adaptedness found in stochastic c...
We explore Ω-adaptedness, a variant of the usual notion of adaptedness found in stochastic calculus....
We consider the theory of stopping bounded processes within the framework of Hudson-Parthasarathy qu...
We give details of a *-linear bijection between adapted (in the sense of Hudson and Parthasarathy) a...
AbstractThe quantum stochastic integral of Itô type formulated by Hudson and Parthasarathy is extend...
A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert spac...
We develop the theory of chaos spaces and chaos matrices. A chaos space is a Hilbert space with a fi...
The following quotation [21, Introduction], with which we agree strongly, refers to the Hudson–Parth...
We develop the theory of chaos spaces and chaos matrices. A chaos space is a Hilbert space with a fi...
Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed...
AbstractWe study the meaning of stochastic integrals when the integrator is a quantum stochastic pro...
AbstractThe introduction of a Feller-type condition allows the study of Markovian, cocycles adapted ...
AbstractWe demonstrate a method for obtaining strong solutions to the right Hudson–Parthasarathy qua...
Quantum stochastic calculus is extended in a new formulation in which its stochastic integrals achie...
Hudson-Parthasarathy (H-P) type quantum stochastic dilation of a class of C0 semigroups of completel...
AbstractWe explore Ω-adaptedness, a variant of the usual notion of adaptedness found in stochastic c...
We explore Ω-adaptedness, a variant of the usual notion of adaptedness found in stochastic calculus....
We consider the theory of stopping bounded processes within the framework of Hudson-Parthasarathy qu...
We give details of a *-linear bijection between adapted (in the sense of Hudson and Parthasarathy) a...
AbstractThe quantum stochastic integral of Itô type formulated by Hudson and Parthasarathy is extend...
A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert spac...
We develop the theory of chaos spaces and chaos matrices. A chaos space is a Hilbert space with a fi...
The following quotation [21, Introduction], with which we agree strongly, refers to the Hudson–Parth...
We develop the theory of chaos spaces and chaos matrices. A chaos space is a Hilbert space with a fi...
Two new approaches to the infinitesimal characterisation of quantum stochastic cocycles are reviewed...
AbstractWe study the meaning of stochastic integrals when the integrator is a quantum stochastic pro...
AbstractThe introduction of a Feller-type condition allows the study of Markovian, cocycles adapted ...
AbstractWe demonstrate a method for obtaining strong solutions to the right Hudson–Parthasarathy qua...
Quantum stochastic calculus is extended in a new formulation in which its stochastic integrals achie...
Hudson-Parthasarathy (H-P) type quantum stochastic dilation of a class of C0 semigroups of completel...
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