• Global air conditioner sales are poised to increase dramatically. Relatively little attention has been paid the implications for inequality. This paper uses microdata from 16 countries predict adoption. Predicted adoption is highly concentrated among high-income households. We discuss health, productivity, and educational As global temperatures go up incomes rise, Recent studies explore poten...

We obtain the equivalence conditions for an on-diagonal upper bound of heat kernels on self-similar measure energy spaces. In particular, this upper bound of the heat kernel is equivalent to the discreteness of the spectrum of the generator of the Dirichlet form, and to the global Poincaré inequality. The key ingredient of the proof is to obtain the Nash inequality from the global Poincaré ineq...