We investigate compactness and asymptotic behaviour of the entropy numbers of embeddings B s1,s1 p1,q1 (Rn , U) → B s2,s2 p2,q2 (Rn , U) . Here Bs,s p,q (Rn, U) denotes a 2-micr...
We determine the asymptotic behaviour of the number of eulerian circuits in a complete graph of odd order. One corollary of our result is the following. If a maximum random walk, ...
We study the asymptotic behaviour of the number Nk,n of nodes of given degree k in unlabeled random trees, when the tree size n and the node degree k both tend to infinity. It is s...
The asymptotic behaviour of the smallest eigenvalue in linear Koiter shell problems is studied, as the thickness parameter tends to zero. In particular, three types of shells of r...