A formulation of the “martingale problem” in Quantum Probability is proposed and it is shown that the property of being a quantum stochastic cocycle with respect to the Brownian shift… Click to show full abstract
A formulation of the “martingale problem” in Quantum Probability is proposed and it is shown that the property of being a quantum stochastic cocycle with respect to the Brownian shift in the Fock space is equivalent to an “additive cocycle property” of the martingale-candidate which in its turn implies the martingale property.
               
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