The visual surface brightness of K/M giants and dwarfs with near-solar metallicity differ slightly in agreement with the gravity effects predicted by recent theoretical models. We show that M-dwarfs display also a metallicity dependence of the surface brightness in the infrared K-band in agreement with theory. Based on these results, we present improved Barnes-Evans type relations and estimate ...

We study the kth largest value, M (k) n , among the oospring of particles in the nth generation of a branching process with immigration. In particular, M (1) n gives the oospring of the most proliic particle in that generation. Limit theorems for M (k) n and EM (k) n are proved. The results are obtained by combining the extreme value theory methods and known results for the behavior of the popu...

In this paper we provide a new arithmetic characterization of the levels of the log-time hierarchy (LH). We define arithmetic classes Σ k and Π log k that correspond to Σk-LOGTIME and Πk-LOGTIME respectively. We break Σ k and Π log k into natural hierarchies of subclasses Σm·log k and Π m·log k . We then define bounded arithmetic deduction systems (TΣ k ) ′ whose U{|id|}B(Σ log k )-definable fu...

We compute the topological K-theory of the group C-algebra C r (Γ) for a group extension 1 → Z → Γ → Z/m → 1 provided that the conjugation action of Z/m on Z is free outside the origin. Introduction Throughout this paper let 1 → Z → Γ → Z/m → 1 be a group extension such that conjugation action of Z/m on Z is free outside the origin. Our main goal is to compute the topological K-theory of the gr...

Group algebras are Hopf algebras, and their Hopf structure plays crucial roles in representation theory and cohomology of groups. A Hopf algebra is an algebra A (say over a field k) that has a comultiplication (∆ : A → A ⊗k A) generalizing the diagonal map on group elements, an augmentation (ε : A → k) generalizing the augmentation on a group algebra, and an antipode (S : A → A) generalizing th...