The most plausible see-saw explanation of the smallness of the neutrino masses is based on the assumption that total lepton number is violated at a large scale and neutrinos with definite masses are Majorana particles. In this review we consider in details difference between Dirac and Majorana neutrino mixing and possibilities to reveal Majorana nature of neutrinos with definite masses.

Children demonstrate a clear understanding of transitivity by the time they are four years old, if not earlier (Pye 1983, Berman 1993, Brooks and Tomasello 1999). However, exactly how they achieve such a state is far from clear. First of all, there is a question of how they start the process of acquiring transitivity. One might think that intransitive verbs would be the first to be acquired, si...

This paper considers the possible limit laws for a sequence of normalized extreme order statistics (maximum, second maximum, etc.) from a stationary strong-mixing sequence of random variables. It extends the work of Loynes who treated only the maximum process. The maximum process leads to limit laws that are the same three types that occur when the underlying process is a sequence of independen...

We present the complete bosonic contributions to the effective weak mixing angle, sin θ lept eff , at the two-loop level in the electroweak interactions. We find their size to be about three times smaller than inferred from simple estimates from lower orders. In particular, for a Higgs boson mass, MH , of 100 GeV they amount to 4 × 10 −6, and drop down by about an order of magnitude for MH = 20...

We explore some fundamental aspects of diffusion in a binary (chemical species A and B) system. The ultimate objective is to better understand the relationship among the various treatments of a one-dimensional diffusion couple when there is volume change on mixing. We begin by examining the relationships among diffusion fluxes that are true irrespective of the nature of constitutive equations. ...

This paper presents an argument to the effect that the relation of exact similarity with respect to properties that are supervenient cannot be transitive. The point of departure is that, while a difference in respect of supervenient properties entails a difference in respect of subvenient properties, exact similiarity in respect of supervenient properties is compatible with differences in respe...

Patterns of social mixing are key determinants of epidemic spread. Here we present the results of an internet-based social contact survey completed by a cohort of participants over 9,000 times between July 2009 and March 2010, during the 2009 H1N1v influenza epidemic. We quantify the changes in social contact patterns over time, finding that school children make 40% fewer contacts during holida...

Neutrino flavor conversion could cause some significant influence on supernova physics . In this talk we discuss the effect of such conversion induced by nonstandard properties of neutrinos, not just by mass and mixing, on supernova physics. In particular, we consider the effect on neutrino shock-reheating, supernova heavy elements nucleosynthesis as well as ν̄e signal, and show that in some cas...

We consider a class of ballistic, multidimensional random walks in random environments where the environment satisfies appropriate mixing conditions. Continuing our previous work [2] for the law of large numbers, we prove here that the fluctuations are gaussian when the environment is Gibbsian satisfying the “strong mixing condition” of Dobrushin and Shlosman and the mixing rate is large enough...

This paper establishes stochastic equicontinuity for classes of mixingales. Attention is restricted to Lipschitz-continuous parametric functions. Unlike some other empirical process theory for dependent data, our results do not require bounded functions, stationary processes, or restrictive dependence conditions. Applications are given to martingale difference arrays, strong mixing arrays, and ...