Extensive amenability and an application to interval exchanges

Lecture 20 : Extensive amenability

construction and validation of translation metacognitive strategy questionnaire and its application to translation quality

like any other learning activity, translation is a problem solving activity which involves executing parallel cognitive processes. the ability to think about these higher processes, plan, organize, monitor and evaluate the most influential executive cognitive processes is what flavell (1975) called “metacognition” which encompasses raising awareness of mental processes as well as using effectiv...

Interval exchanges, admissibility and branching Rauzy induction

We introduce a definition of admissibility for subintervals in interval exchange transformations. Using this notion, we prove a property of the natural codings of interval exchange transformations, namely that any derived set of a regular interval exchange set is a regular interval exchange set with the same number of intervals. Derivation is taken here with respect to return words. We characte...

Interval Analysis – An Application to Solvent Design

This presentation discusses the use of an interval analysis based global optimization approach for the systematic design of cleaning solvent blends (commonly referred to as blanket washes) for lithographic printing. The simultaneous consideration of associated process constraints, property requirements, and environmental restrictions makes the blanket wash design a rather difficult problem. To ...

Covering Numbers: Arithmetics and Dynamics for Rotations and Interval Exchanges

We study a particular case of the two-dimensional Steinhaus theorem , giving estimates of the possible distances between points of the form k and k + on the unit circle, through an approximation algorithm of by the points k. This allows us to compute covering numbers (maximal measure of Rokhlin stacks having some prescribed regularity properties) for the symbolic dynamical systems associated to...