The current study provides the first evolutionarily-informed direct comparison of actual parents’ and offspring’s mate preferences. We compared students’ (N = 300) average rankings of 13 traits for desirability in an ideal mate with their parents’ (N = 238) rankings of the same traits for their offspring’s ideal mate. Parents ranked religion higher than offspring, whereas offspring ranked physi...

Despite decades of theoretical research and observational studies, a good understanding of Tropical Cyclone Genesis (TCG) remains elusive. One recent theory proposes TCG is contingent upon a necessary condition in the lower tropospheric levels whereby a closed circulation exists in a Lagrangian framework forming a protective region for genesis. This thesis work contends that while lower-troposp...

Abstract In this paper, the insulated conductivity model with two touching or close‐to‐touching inclusions is considered in . We establish pointwise upper bounds on gradient of solution for generalized m ‐convex under these cases , which show that singular behavior thin gap between described by first non‐zero eigenvalue an elliptic operator divergence form Finally, sharpness estimates also prov...

We solve the Kato problem for divergence form elliptic operators whose heat kernels satisfy a pointwise Gaussian upper bound. More precisely, given the Gaussian hypothesis, we establish that the domain of the square root of a complex uniformly elliptic operator L = −div(A∇) with bounded measurable coefficients in Rn is the Sobolev space H1(Rn) in any dimension with the estimate ‖ √ Lf‖2 ∼ ‖∇f‖2...

1. General introduction, Birkhoff’s Ergodic Theorem vs. Ratner’s Theorems on unipotent flows; measure classification implies classification of orbit closures; uniform convergence and the theorem of Dani-Margulis; the statement of the Oppenheim Conjecture. 2. The case of SL(2, R) (the mixing argument). We will be loosely following Ratner’s paper [18]. 3. The classification of invariant measures ...

We investigated the interplay between natural selection and gene flow in the adaptive divergence of threespine stickleback (Gasterosteus aculeatus) that reside parapatrically in lakes and streams. Within the Misty Lake system (Vancouver Island, British Columbia), stickleback from the inlet stream (flowing into the lake) have fewer gill rakers and deeper bodies than stickleback from the lake--di...

In this paper we study existence of positive solutions to singular elliptic boundary value problems involving divergence terms in general domains. By constructing suitable upper and lower solutions and making comparison, we obtain suucient conditions for existence and nonexistence of solutions. We also study a concrete example to show that the conditions imposed on parameters appearing in the s...