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math.PR2015
Stopping Time and Control for a Type of Impulsive Stochastic Differential Equation
Ricardo Castro Santis
The main objective of this paper is the construction of the solution of an impulsive stochastic differential equation, subject to control conditions in the pulse-times and give suf…
math.PR2010
Quantum Stochastic Dynamics in Multi-Photon Optics
Ricardo Castro Santis
In this work a generic model of \emph{multi-photon optics} is studied. It is considered pump and subharmonic fields. It shows how the multi-photon system, with direct and h…
math.PR2010★ 5 cited
Quantum stochastic differential equations and continuous measurements: unbounded coefficients
Ricardo Castro Santis, Alberto Barchielli
A natural formulation of the theory of quantum measurements in continuous time is based on quantum stochastic differential equations (Hudson-Parthasarathy equations). However, such…