Chaos and mixing homeomorphisms on fans

We construct a mixing homeomorphism on the Lelek fan. We also construct a mixing homeomorphism on the Cantor fan. Then, we construct a family of uncountably many pairwise non-homeomorphic (non-)smooth fans that admit a mixing homeomorphism.Comment: arXiv admin note: substantial text overlap with arXiv:2310.19129, arXiv:2309.0400

An uncountable family of smooth fans that admit transitive homeomorphisms

We construct a family of uncountably many pairwise non-homeomorphic smooth fans that admit transitive homeomorphisms. In addition, we show that the star of Cantor fans admits a transitive homeomorphism

Monetary policy rules in the open economy: effects on welfare and business cycles

This paper computes welfare maximizing Taylor-style interest rate rules, in a business cycle model of a small open economy. The model assumes staggered price setting and shocks to domestic productivity, to the world interest rate, to world inflation, and to the uncovered interest rate parity condition. Optimized policy rules have a pronounced anti-inflation stance and entail significant nominal and real exchange rate volatility. The country responds to an increase in external volatility by holding more foreign assets. The policy rule affects the variance and the mean of consumption. The effect on the mean matters significantly fo