Tilting at windmills Don Quixote fights windmills that he imagines are giants. A relevant portion of the novel states: Cervantes wrote "Don Quixote" in two parts, published respectively in 1605 and 1615, during the latter part of a historical period known as the Spanish Golden Age. During this age, Spain pursued military conquests in parts of Europe and conquered large parts of the Americas, which brought great riches to the country and inspired a flowering of the arts. In La Mancha, Castilla, Cervantes' setting for the novel, there still exist some examples of the era's windmills that Don Quixote found in his adventures.
Tilted large deviation principle Tilted large deviation principle In mathematics — specifically, in large deviations theory — the tilted large deviation principle is a result that allows one to generate a new large deviation principle from an old one by "tilting", i.e. integration against an exponential functional. It can be seen as an alternative formulation of Varadhan's lemma. Let "X" be a Polish space (i.e., a separable, completely metrizable topological space), and let ("μ") be a family of probability measures on "X" that satisfies the large deviation principle with rate function "I" : "X" → [0, +∞]. Let "F" : "X" → R be