Before revision:  We also introduce a multivariate uncertain volatility model of which our multivariate local volatilities model is a multivariate markovian projectionand analyze the dependence structure induced by our multivariate dynamics in detail .
After revision:  We also show existence of a multivariate uncertain volatility model of which our multivariate local volatilities model is a multivariate markovian projectionand analyze the dependence structure induced by our multivariate dynamics in detail .