Pupae of Aedes aegypti, Ae. triseriatus and Culex restuans dive less frequently when resting in a concave meniscus than when resting in open water. They also tend to terminate diving after contacting submerged vertical surfaces, increasing their chances of surfacing in a concave meniscus. As a result pupae tend to rest in concave menisci associated with emergent vertical surfaces, a behavioral ...

Brascamp–Lieb-type, weighted Poincaré-type and related analytic inequalities are studied for multidimensional Cauchy distributions and more general κ-concave probability measures (in the hierarchy of convex measures). In analogy with the limiting (infinitedimensional log-concave) Gaussian model, the weighted inequalities fully describe the measure concentration and large deviation properties of...

We extend Hoggar’s result that the sum of two independent discrete-valued log-concave random variables is itself log-concave. Firstly, we weaken the assumption of independence, and introduce conditions under which the result still holds for dependent variables. Secondly, we introduce a wider class of random variables such that in the independent case the sum is still log-concave, and prove simp...

Brascamp–Lieb-type, weighted Poincaré-type and related analytic inequalities are studied for multidimensional Cauchy distributions and more general κ-concave probability measures (in the hierarchy of convex measures). In analogy with the limiting (infinite-dimensional log-concave) Gaussian model, the weighted inequalities fully describe the measure concentration and large deviation properties o...

In this paper we show that for discrete concave functions, a local maximum need not be a global maximum. We also provide examples of discrete concave functions where this coincidence holds. As a direct consequence of this, we can establish the equivalence of local and global profit maximizers for an equivalent well-behaved production function that is generated by a (not necessarily discrete con...

Highly monodispersed concave gold nanobars with 24 high-index {730} facets are synthesized through a seed-mediated growth in aqueous solution. The transformation from the truncated rectangular nanobars to rectangular nanobars, then transitional products, and final concave rectangular nanobars is observed with the fine control of silver nitrate in the growth solution, and their corresponding tra...

5 In this paper, we derive explicit characterizations of convex and concave envelopes of several 6 nonlinear functions over various subsets of a hyper-rectangle. These envelopes are obtained 7 by identifying polyhedral subdivisions of the hyper-rectangle over which the envelopes can be 8 constructed easily. In particular, we use these techniques to derive, in closed-form, the concave 9 envelope...