On two conjectures about perturbations of the stochastic growth rate

The stochastic growth rate describes long-run growth of a population that lives in a fluctuating environment. Perturbation analysis of the stochastic growth rate provides crucial information for population managers, ecologists and evolutionary biologists. This analysis quantifies the response of the stochastic growth rate to changes in demographic parameters. A form of this analysis deals with changes that only occur in some environmental states. Caswell put forth two conjectures about environment-specific perturbations of the stochastic growth rate. The conjectures link the stationary distribution of the stochastic environmental process with the magnitude of some environment-specific perturbations. This note disproves one conjecture and proves the other.     

大空间建筑居留区空调射流与室内羽状气流作用机理研究

在建立非等温射流运动的物理方程时,考虑由室内热源形成的羽状气流对射流运动的热浮升作用力,得到受羽状气流作用的射流运动轨迹表达式.经现场实测验证后,上述理论分析认为,空调射流与羽状气流的相互作用会影响射流轨迹,且在一定程度上改变其运行轨迹.