We investigate the existence of an absolutely continuous martingale measure. For continuous processes we show that the absence of arbitrage for general admissible integrands implies the existence of an absolutely continuous (not necessarily equivalent) local martingale measure. We also rephrase Radon-Nikodym theorems for predictable processes. 1.Introduction. In our paper Delbaen and Schacherma...

This paper introduces a model of interaction between users and animated agents as well as inter-agent interaction that supports basic features of affective conversation. As essential requirements for animated agents’ capability to engage in and exhibit affective communication we motivate reasoning about emotion and emotion expression, personality, and social role awareness. The main contributio...

“American applicants, to Dutch eyes, oversell themselves. Their CVs are worded in superlatives...during the interview they try to behave assertively, promising things they are very unlikely to realize...Dutch applicants in American eyes undersell themselves. They write modest and usually short CVs, counting on the interviewer to find out by asking how good they really are...they are very carefu...

We give a new proof that there are arbitrarily large indecomposable abelian groups; moreover, the groups constructed are absolutely indecomposable, that is, they remain indecomposable in any generic extension. However, any absolutely rigid family of groups has cardinality less than the partition cardinal κ(ω). Added December 2004: The proofs of Theorems 0.2 and 0.3 are not correct, and the clai...

We compute explicitly the density of the invariant measure for the Reverse algorithm which is absolutely continuous with respect to Lebesgue measure, using a method proposed by Arnoux and Nogueira. We also apply the same method on the unsorted version of Brun algorithm and Cassaigne algorithm. We illustrate some experimentations on the domain of the natural extension of those algorithms. For so...