The local ‘touchdown’ of globalization gives rise to many complex global – local nexuses, and understanding their nature, structure, and consequences presents a major analytical challenge for globalization research. This paper attempts to untangle one global – local nexus by...

Using the compactness in large deviation theory, this note describes a large deviation upper bound by a lower semicontinuous function. It then obtains a characterization for exponential convergence and discusses exponential convergence rates.