Turbulence and Araki-Woods factors

Using Baire category techniques we prove that Araki-Woods factors are not classifiable by countable structures. As a result, we obtain a far reaching strengthening as well as a new proof of the well-known theorem of Woods that the isomorphism problem for ITPFI factors is not smooth. We derive as a consequence that the odometer actions of Z that preserve the measure class of a finite non-atomic product measure are not classifiable up to orbit equivalence by countable structures.Comment: 16 page

Definable Davies' Theorem

We prove the following analogue of a Theorem of R.O. Davies: Every $\Sigma^1_2$ function $f:\R\times\R\to\R$ can be represented as a sum of rectangular $\Sigma^1_2$ functions if and only if all reals are constructible.Comment: Final version, to appear in Fundamenta Mathematica

Effects of humor production, humor receptivity, and physical attractiveness on partner desirability

This study examined women’s and men’s preferences for humor production and humor receptivity in long-term and short-term relationships, and how these factors interact with physical attractiveness to influence desirability. Undergraduates viewed photographs of the opposite sex individuals who were high or low in physical attractiveness, along with vignettes varying in humor production and receptivity. Participants rated physical attractiveness and desirability for long-term and short-term relationships. The main findings were that individuals desired partners who were high in humor production and receptivity, though the effects were particularly pronounced for women judging long-term relationships. Moreover, humor production was more important than receptivity for women’s ratings of male desirability. Notably, we also found that ratings of physical attractiveness were influenced by the humor conditions. These results are discussed in terms of the fitness indicator, interest indicator, and encryption hypotheses of the evolutionary functions of humor