We study the action of the mapping class groupMod(S) on the boundary ∂Q of quasifuchsian space Q. Among other results, Mod(S) is shown to be topologically transitive on the subset C ⊂ ∂Q of manifolds without a conformally compact end. We also prove that any open subset of the character varietyX (π1(S),PSL2 C) intersecting ∂Q does not admit a nonconstant Mod(S)-invariant meromorphic function. Th...

For the study of dynamic dependence structures, we introduce the concept of pseudo-copulas, extending Patton’s (2001a) definition of conditional copulas, and state the equivalent of Sklar’s theorem for pseudo-copulas. We establish asymptotic normality of nonparametric estimators of the pseudo-copulas under strong mixing assumptions, and discuss applications to specification tests. We complement...

We investigate double transitivity of Galois groups in the classical Schubert calculus on Grassmannians. We show that all Schubert problems on Grassmannians of 2and 3-planes have doubly transitive Galois groups, as do all Schubert problems involving only special Schubert conditions. We use these results to give a new proof that Schubert problems on Grassmannians of 2-planes have Galois groups t...

After a brief introduction to neutrino mass via the seesaw model I discuss neutrino mixing and oscillation, first in vacuum and then its matter enhancement. Then the solar and atmospheric neutrino oscillation data are briefly reviewed. Finally I discuss the problem of reconciling hierarchical neutrino masses with at least one large mixing, as implied by these data. A minimal seesaw model for re...

An enormous dissipation of the order of 2 kJ/L takes place during the natural mixing process of fresh river water entering the salty sea. “Capacitive mixing” is a promising technique to efficiently harvest this energy in an environmentally clean and sustainable fashion. This method has its roots in the ability to store a very large amount of electric charge inside supercapacitor or battery elec...

We consider the class of Rn extensions of Anosov diffeomorphisms on infranilmanifolds, and find necessary and sufficient conditions for topological transitivity. In particular, if the fiber is R, the existence of a semi-orbit with the projection on R unbounded from above and from below is equivalent to topological transitivity. We also show that in the above class topological transitivity and s...

Add 3 heavy singlet right-handed neutrinos to the minimal standard model: 1 νR for each νL. Then the operator of Eq. (3) is realized because each heavy νR is linked to νLφ 0 with a Yukawa coupling f ; and since νR is allowed to have a large Majorana mass MR, the famous seesaw realtionship mν = m 2 D/MR is obtained, where mD = f〈φ0〉. This mechanism dominates the literature and is usually implied...