Let \(M= \Gamma \setminus \mathbb {H}_d\) be a compact quotient of the d-dimensional Heisenberg group \(\mathbb by lattice subgroup \(\Gamma \). We show that eigenvalue counting function \(N^\alpha \left( \lambda \right) \) for any fixed element family second order differential operators \(\left\{ \mathcal {L}_\alpha \right\} on M has asymptotic behavior \sim C_{d,\alpha } {\text {vol}}\left( M...

Sex-limited polymorphisms are an intriguing form of sexual dimorphism that offer unique opportunities to reconstruct the evolutionary changes that decouple male and female traits encoded by a shared genome. We investigated the genetic basis of a Mendelian female-limited color dimorphism (FLCD) that segregates in natural populations of more than 20 species of the Drosophila montium subgroup. In ...

We show that for every integer d ∈ N, there is N(d) ∈ N such that if K is any field and F is a finite subset of GLd(K), which generates a non amenable subgroup, then F contains two elements, which freely generate a non abelian free subgroup. This improves the original statement of the Tits alternative. It also implies a growth gap and a co-growth gap for non-amenable linear groups, and has cons...

Proper symmetries act on fields while pseudo-symmetries act on both fields and coupling constants. We identify the pseudo-duality groups that act as symmetries of the equations of motion of general systems of scalar and vector fields and apply our results to N = 2, 4 and 8 supergravity theories. We present evidence that the pseudo-duality group for both the heterotic and type II strings toroida...

MRI diffusion-tensor tracking (DTT) was performed in 17 high-functioning adolescents/adults with autism and 17 pairwise-matched controls. White matter pathways involved in face processing were examined due to the relevance of face perception to the social symptoms of autism, and due to known behavioral and functional imaging findings in autism. The hippocampo-fusiform (HF) and amygdalo-fusiform...

BACKGROUND Cystic Fibrosis (CF) is a monogenic disease with complex expression because of the action of genetic and environmental factors. We investigated whether the ACE gene D/I polymorphism is associated with severity of CF. METHODS A cross-sectional study was performed, from 2009 to 2011, at University of Campinas - UNICAMP. We analyzed 180 patients for the most frequent mutations in the ...

The Arabidopsis type II peroxiredoxin (PRXII) family is composed of six different genes, five of which are expressed. On the basis of the nucleotide and protein sequences, we were able to define three subgroups among the PRXII family. The first subgroup is composed of AtPRXII-B, -C, and -D, which are highly similar and localized in the cytosol. AtPRXII-B is ubiquitously expressed. More striking...

A basic fact of life Let G be a connected reductive group over Q. Set G∞ = G(R), and let K∞ ⊂ G∞ be a maximal compactmod-center subgroup, so D∞ = G∞/K∞ is the usual symmetric space for G. Following the notation in Borel and Wallach’s book, we set l0 = rank(G∞) − rank(K∞) and q0 = 1 2 (dimD∞ − l0). These are both nonnegative integers. For any open compact subgroup K ⊂ G(Af ) we have the usual lo...