We study the empirical meaning of randomness with respect to a family of probability distributions P, where is a real parameter, using algorithmic randomness theory. In the case w...
Homological Perturbation Theory [11, 13] is a well-known general method for computing homology, but its main algorithm, the Basic Perturbation Lemma, presents, in general, high com...
Over a decade ago, Schoning introduced the concept of lowness into structural complexity theory. Since then a large body of results has been obtained classifying various complexit...
In this paper we define four operations on musical rhythms that preserve a property called maximal evenness. The operations we describe are shadow, complementation, concatenation,...
Francisco Gomez-Martin, Perouz Taslakian, Godfried...
We develop an approach to intrinsic dimension estimation based on k-nearest neighbor (kNN) distances. The dimension estimator is derived using a general theory on functionals of k...