Let G be a locally compact amenable group, TLIM ( ) the topological left-invariant means on , and 0 limit points of Følner-nets. I show that = unless is σ -compact non-unimodular, in which case ≠ . This improves 1970 result Chou 2009 Hindman Strauss. consider analogous problem for non-topological means, give short construction net converging to invariance “weakly but not strongly,” simplifying ...

inverse sampling design is generally considered to be appropriate technique when the population is divided into two subpopulations, one of which contains only few units. in this paper, we derive the horvitz-thompson estimator for the population mean under inverse sampling designs, where subpopulation sizes are known. we then introduce an alternative unbiased estimator, corresponding to post-str...

The mean inner potential in metals, insulators, and semiconductors provides fundamental information regarding the electronic structure of the material. Here, we measure the mean inner potentials of the two archetype linear polyacenes: anthracence and naphthalene. We determine the mean inner potentials of single crystalline anthracene of 5.9 V (+/-0.3 V), and naphthalene of 5.4 V (+/-0.3 V) base...

The investigation of manifolds with non-negative sectional curvature is one of the classical fields of study in global Riemannian geometry. While there are few known obstruction for a closed manifold to admit metrics of non-negative sectional curvature, there are relatively few known examples and general construction methods of such manifolds (see [Z] for a detailed survey). In this context, it...