Converging on Convergence

On the convergence of stochastic integrals driven by processes converging on account of a homogenization property

We study the limit of functionals of stochastic processes for which an homogenization result holds. All these functionals involve stochastic integrals. Among them, we consider more particularly the Lévy area and those giving the solutions of some SDEs. The main question is to know whether or not the limit of the stochastic integrals is equal to the stochastic integral of the limit of each of it...

Technoscience and Convergence: a Transmutation of Values? Summerschool on Ethics of Converging Technologies

Technoscience is often perceived as an expression of the primacy of utilitarian values that would take over the field of pure and disinterested science. A number of scientists deplore that the age of science for its own sake is coming to an end (Lévy-Leblond, 2000). This common view expressed by active scientists is shared and developed by historians. In a paper describing technoscience as a cu...

Converging on Program Simplicity

A remark on the converging-input converging-state property

Suppose that an equilibrium is asymptotically stable when external inputs vanish. Then, every bounded trajectory which corresponds to a control which approaches zero and which lies in the domain of attraction of the unforced system, must also converge to the equilibrium. This “well-known” but hard-to-cite fact is proved and slightly generalized here.

Converging Hands or Converging Minds?

Interlocutors sometimes repeat each other’s representational hand gestures. We investigated if this is a case of direct mimicry of form, or whether perceiving a gesture gives rise to a semantic representation, which subsequently informs gesture production. For this we used an interactive route description task, in which a confederate’s gestures indicated the route in either the vertical or the ...