Pierre-Jean Laurent

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We present geometric aspects of sculptured surface machining. Several possible connguration manifolds of tool positions relative to a workpiece are investigated under diierent aspects: the degree of freedom of the motion of the tool, the correspondence between the contact point and the tool position, and the presence or absence of unwanted collisions(More)
We extend the model of rational bubbles of [Blanchard, 1979] and [Blanchard and Watson, 1982] to arbitrary dimensions d: a number d of market time series are made linearly interdependent via d × d stochastic coupling coefficients. We first show that the no-arbitrage condition imposes that the non-diagonal impacts of any asset i on any other asset j = i has(More)
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