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This paper describes a new algorithm for the recognition of human activities. These activities are modelled using banks of switched dynamical models, each of which is tailored to a specific motion regime. Furthermore, it is assumed that model switching happens according to a space-dependent Markov chain, i.e., some transitions are more probable in specific regions of the image. Space dependence allows the model to represent the interaction between the person and static elements of the scene. The paper describes learning algorithms for space-dependent switched dynamical models and presents experimental results with synthetic and real data.