In this survey we offer an overview of the so called local entropy theory, developed since the early 1990s. While doing so we emphasize the connections between the topological dynamics and the ergodic theory view points.

The purpose of this paper is to introduce a variant of the geometric collapsing theory for Riemannian manifolds contained in the joint work of J. Cheeger, K. Fukaya and M. Gromov (henceforth called the “C-F-G-theory”). The authors make important use of this variant geometric collapsing theory in Farrell and Jones, 1998(2), to develop a theory for collapsing foliated Riemannian manifolds and the...

Abstrac t Qualitative Process theory has been successfully used to model a variety of domain s and in exploring several qualitative reasoning tasks. However, there has been little explicit analysis of where and how it breaks down. The purpose of this paper is to look a t several ways in which QP theory (or implementations of it) currently fail in some way. Two concepts for classifying QP models...

An unsolved problem in qualitative physics is generating a qualitative understanding of how a physical system is behaving from raw data, especially numerical data taken across time, to reveal changing internal state. Yet providing this ability to “read gauges” is a critical step towards building the next generation of intelligent computer-aided engineering systems and allowing robots to work in...

We present a novel method to compute Lyapunov functions for continuous-time systems with multiple local attractors. In the proposed method one first computes an outer approximation of the local attractors using a graphtheoretic approach. Then a candidate Lyapunov function is computed using a Massera-like construction adapted to multiple local attractors. In the final step this candidate Lyapuno...

The role of theory in qualitative research is often underplayed but it is relevant to the quality of such research in three main ways. Theory influences research design, including decisions about what to research and the development of research questions. Theory underpins methodology and has implications for how data are analyzed and interpreted. Finally, theory about a particular health issue ...

When games are designed to impact their users’ thinking beyond the created playful environment itself – learning is aimed at. Thereby the question arises, if games are constructive tools to foster transformative learning by challenging players’ perspectives. The following paper outlines the case study of a game design experiment that combines state of the art learning research with game design ...

Important parameters in quantitative coronary angiography (QCA) are the severity and length of the lesion, the radius of the nonstenotic part of the affected vessel segment and the bifurcation angle (in the case of a bifurcation lesion). Unfortunately, QCA results can be influenced by the viewing angles corresponding to the angiographic images used to perform the QCA. To deal with this viewpoin...

This article shows how a linear scale-space formulation previously expressed for spatial domains extends to spatio-temporal data. Starting from the main assumptions that: (i) the scale-space should be generated by convolution with a semi-group of filter kernels and that (ii) local extrema must not be enhanced when the scale parameter increases, a complete taxonomy is given of the linear scale-s...