It is well known that quantum continuous observations and nonlinear filtering can be
developed within the framework of the quantum stochastic calculus of Hudson …

The classical theory of stochastic processes has important applications arising from the
need to describe irreversible evolutions in classical mechanics; analogously quantum …

By quantum stochastic analysis is meant the analysis arising from the natural operator
filtration of a symmetric Fock space over a Hilbert space of squareintegrable vector-valued …

These notes are intended as an introduction to noncommutative (quantum) filtering theory.
An introduction to quantum probability theory is given, focusing on the spectral theorem and …

Schürmann's theory of quantum Lévy processes, and more generally the theory of quantum
stochastic convolution cocycles, is extended to the topological context of compact quantum …

Stochastic convolution cocycles on a coalgebra are obtained by solving quantum stochastic
differential equations. We describe a direct approach to solving such QSDE's by iterated …

We introduce a non-commutative extension of Tsirelson-Vershik's noises, called (non-
commutative) continuous Bernoulli shifts. These shifts encode stochastic independence in …

We consider normal Markovian cocycles on a von Neumann algebra which are adapted to a
Fock filtration. Every such cocycle k which is Markov-regular and consists of completely …

Every Markov-regular quantum Lévy process on a multiplier C*-bialgebra is shown to be
equivalent to one governed by a quantum stochastic differential equation, and the …

Abstract The method of Feynman–Kac perturbation of quantum stochastic processes has a
long pedigree, with the theory usually developed within the framework of processes on von …