Abstract: The continued fraction expansion (CFE) of a real number provides a novel means of representing real numbers as well as efficient methods of (best) approximations of irrational numbers by rational numbers. In my talk last week I focused on the main features of CFE representation. It turns out that, CFE representation can be obtained via action of a map, the Gauss map, which also remedies some drawbacks of ordinary CFE. In this talk I will focus on the Gauss map; exhibit its connection with the CFE representation and investigate its dynamical aspects such as periodic points, transitivity and measure preserving property.
Location: Minard 112
Date: 8 March 2017