Reinhardt cardinals and iterates of V

investigation of the electronic properties of carbon and iii-v nanotubes

boron nitride semiconducting zigzag swcnt, $b_{cb}$$n_{cn}$$c_{1-cb-cn}$, as a potential candidate for making nanoelectronic devices was examined. in contrast to the previous dft calculations, wherein just one boron and nitrogen doping configuration have been considered, here for the average over all possible configurations, density of states (dos) was calculated in terms of boron and nitrogen ...

Symmetric continuous Reinhardt domains

whenever |ζ1|, . . . , |ζn| ≤ 1 . In 1974 [11] Sunada investigated the structure of bounded Reinhardt domains containing the origin from the viewpoint of biholomorphic equivalence. He was able to describe completely the symmetric Reihardt domains which, up to linear isomomorphism, turned to be direct products of Euclidean balls. Our aim in this paper is to study infinite dimensional analogs of ...

Sporadic Reinhardt Polygons

Let n be a positive integer, not a power of two. A Reinhardt polygon is a convex n-gon that is optimal in three different geometric optimization problems: it has maximal perimeter relative to its diameter, maximal width relative to its diameter, and maximal width relative to its perimeter. For almost all n, there are many Reinhardt polygons with n sides, and many of them exhibit a particular pe...

Iterates of Volterra

Given k ∈ L(0, 1) satisfying certain smoothness and growth conditions at 0, we consider the Volterra convolution operator Vk defined on L(0, 1) by (Vku)(t) = ∫ t 0 k(t − s)u(s) ds, and its iterates (V n k )n∈N . We construct some much simpler sequences which, as n → ∞, are asymptotically equal in the operator norm to V n k . This leads to a simple asymptotic formula for ‖V n k ‖ and to a simple...

Jonathan G . Reinhardt The Matter of Britain