For a general group G we consider various weak mixing properties of nonsingular actions. In the case where the action is actually measure preserving all these properties coincide, and our purpose here is to check which implications persist in the nonsingular case.

A binary relation R on a set S is transitive iff for all a, b, c ∈ S, if aRb and bRc, then aRc. This almost never applies to the relations logicians tend to think of as consequence relations; where such relations are relations on a set at all, they are rarely transitive. Yet it is common to hear consequence relations described as ‘transitive’, and to see rules imposed to ensure ‘transitivity’ o...

I recount briefly the history of neutrino tribimaximal mixing and the use of the discrete family symmetry A4 in obtaining it. Talk at the 4th International Conference on Flavor Physics, Beijing, September 2007. 1 Neutrino Tribimaximal Mixing In 1978, soon after the putative discovery of the third family of leptons and quarks, it was conjectured by Cabibbo [1] and Wolfenstein [2] independently t...

Micromixers are one of the most crucial components of Lab-On-a-Chip devices with the intention of mixing and dispersion of reagents like small molecules and particles. The challenge facing micromixers is typically insufficient mixing efficiency in basic designs, which results in longer microchannels. Therefore, it is desirable to increase mixing efficiency, in order to decrease mixing length, w...

Abstract. U -quantiles are applied in robust statistics, like the Hodges-Lehmann estimator of location for example. They have been analyzed in the case of independent random variables with the help of a generalized Bahadur representation. Our main aim is to extend these results to U -quantiles of strongly mixing random variables and functionals of absolutely regular sequences. We obtain the cen...

We present a short discussion on the expected magnitude of |Ue3| in the context of various scenarios proposed to describe neutrino masses and mixing. Generic expectation is relatively large (> 0.05) values for |Ue3| which occur in many well-motivated theoretical scenarios and models.

The thesis consider the mixing of few (3-4) card shuffling as well as of large (52 card) deck. The thesis is showing the limit on the shuffling to homogeneity elaborated in short program; the thesis is in italian.

Understanding the disparate mixing patterns between quarks and leptons is one of the major challenges in particle theory today. I discuss some of the ways to understand this difference within the seesaw framework using new symmetries of quarks and leptons. After a brief introduction to the various types of seesaw formulae, proposals for understanding large solar and atmospheric mixings for the ...

We review and update the effects of physics beyond the standard model on CP asymmetries in B decays. These asymmetries can be significantly altered if there are important new-physics contributions to B q -B 0 q mixing. This same new physics will therefore also contribute to rare, flavor-changing B decays. Through a study of such decays, we show that it is possible to partially distinguish the d...