We discuss a family of estimators for the entropy rate of a stationary ergodic process and prove their pointwise and mean consistency under a Doeblin-type mixing condition. The estimators are Cesàro averages of longest match-lengths, and their consistency follows from a generalized ergodic theorem due to Maker. We provide examples of their performance on English text, and we generalize our resu...

This research aims to describe the application of code-mixing and code-switching as one English learning methods in Politeknik eLBajo Commodus, particularly Basic Class. The method this is field observation during time English. Several example speeches which contain class are used data. data then analyzed by theory find out contexts types that happened result shows some contexts, such welcome g...

In this paper we investigate mixing and transport in correspondence of a meandering jet. The large-scale flow field is a kinematically assigned streamfunction. Two basic mixing mechanisms are considered, first separately and then combined together: deterministic chaotic advection, induced by a time dependence of the flow, and turbulent diffusion, described by means of a stochastic model for par...