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These are lecture notes of lectures given in 1993 in Cortona, Italy. W-algebras appeared in the conformal field theory as extensions of the Virasoro algebra. They are closely connected with integrable systems and can be interpreted as symplectic (or Poisson) structures inherent in those systems...
We construct Ornstein–Uhlenbeck processes with values in Banach space and with continuous paths. The drift coefficient must only generate a strongly continuous semigroup on the Hilbert space which determines the Brownian motion. We admit arbitrary starting points and consider also invariant...
The notion of a continuously observed quantum process constrained at both its initial and final states is introduced. It is shown that under suitable regularity conditions, such a process fulfills a 'least action' principle, wherein action is identified with change of state transitions.
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