We study one-sided substitution subshifts, and how they can be respresented using Bratteli-Vershik systems. In particular we focus on minimal recognizable substitutions such that the generated one-sided substitution subshift contains only one non-shift-invertible element, and we call these substitutions quasi-invertible. We characterise these substitutions, and show that if the substitution is ...

Abstract. We show that the the shift on the reduced C∗–algebras of RD–groups, including the free group on infinitely many generators, and the amalgamated free product C∗–algebras, enjoys the very strong ergodic property of the convergence to the equilibrium. Namely, the free shift converges, pointwise in the weak topology, to the conditional expectation onto the fixed–point subalgebra. Provided...

We draw a distinction between the Aharonov Bohm phase shift and the Aharonov Bohm effect. Although the Aharonov Bohm phase shift occurring when an electron beam passes around a magnetic solenoid is well-verified experimentally, it is not clear whether this phase shift occurs because of classical forces or because of a topological effect occurring in the absence of classical forces as claimed by...

Conventional Phase II statistical process control (SPC) charts are designed using control limits; a chart gives a signal of process distributional shift when its charting statistic exceeds a properly chosen control limit. To do so, we only know whether a chart is out-of-control (OC) at a given time. It is therefore not informative enough about the likelihood of a potential distributional shift....

For this project, I attempted to characterize how the perceived quality of wine relates to its age. To do this, I performed analysis on the Cellar Tracker data set of wine reviews. Through exploration of the data set I found that wine does not age consistently. There was a noticeable shift in the trend of review scores as the wines’ age increased. I performed various forms of regression analysi...

PURPOSE To integrate water-fat-resolved spiral gradient-echo imaging with off-resonance correction into a clinical MR scanner and to evaluate its basic feasibility and performance. MATERIALS AND METHODS Three-point chemical shift imaging was implemented with forward and strongly T(2)*-weighted reverse spiral sampling and with off-resonance correction after water-fat separation. It was applied...

Mean shift algorithm is widely used in 2D images. In this paper a novel 3D corresponding control points estimation using mean shift algorithm is proposed. This algorithm is not a simple extension from 2D to 3D, but computes the probability density function in each slice of the search region and connects them into a whole density function smoothed by Gaussian function. And then we calculate and ...

We show that domain adaptation for word sense disambiguation (WSD) satisfies the assumption of covariate shift, and then solve it by learning under covariate shift. Learning under covariate shift has two key points: (1) calculation of the weight of an instance and (2) weighted learning. For the first point, we employ unconstrained least squares importance fitting (uLSIF), which models the proba...

We study the mean square weighted L2 discrepancy of randomized digital (t,m, s)nets over Zp. The randomization method considered here is a digital shift of depth m, i.e., for each coordinate the first m digits of each point are shifted by the same shift whereas the remaining digits in each coordinate are shifted independently for each point. We also consider a simplified version of this shift. ...