We prove the existence of the limiting distribution for the sequence of denominators generated by continued fraction expansions with even partial quotients, which were introduced by F. Schweiger [14] [15] and studied also by C. Kraaikamp and A. Lopes [10]. Our main result is proven following the strategy used by Ya. Sinai and C. Ulcigrai [18] in their proof of a similar renewal-type theorem for...

The aim of this work is to extend the results of S. Nayatani about the index and the nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces for values of the genus bigger than 37. That allows us to state that these minimal surfaces are non degenerate for all the values of the genus in the sense of the definition of J. Pérez and A. Ros. Introduction In the years 80’s and 90’s the study of ...