Department of Mathematics and Statistics

Permanent link for this collection


Recent Submissions

Now showing 1 - 5 of 103
  • Item
    Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity
    (2023) Lenz, Daniel; Spindeler, Timo; Strungaru, Nicolae
    We consider metrizable ergodic topological dynamical systems over locally compact, σ - compact abelian groups. We study pure point spectrum via suitable notions of almost periodicity for the points of the dynamical system. More specifically, we characterize pure point spectrum via mean almost periodicity of generic points. We then go on and show how Besicovitch almost periodic points determine both eigenfunctions and the measure in this case. After this, we characterize those systems arising from Weyl almost periodic points and use this to characterize weak and Bohr almost periodic systems. Finally, we consider applications to aperiodic order.
  • Item
    Fourier transformable measures with weak Meyer set support and their lift to the cut-and-project scheme
    (2023) Strungaru, Nicolae
    In this paper, we prove that given a cut-and-project scheme (G,H,L) and a compact window W⊆H, the natural projection gives a bijection between the Fourier transformable measures on G×H supported inside the strip L∩(G×W) and the Fourier transformable measures on G supported inside ⋏(W). We provide a closed formula relating the Fourier transform of the original measure and the Fourier transform of the projection. We show that this formula can be used to re-derive some known results about Fourier analysis of measures with weak Meyer set support.
  • Item
    Scaffolding IL learning and EBP exploration in a semester-long journal club: impact on nursing student self-efficacy
    (2023) Nelson, Jody; Croxen, Hanneke; McKendrick-Calder, Lisa; Ha, Lam; Su, Wanhua
    Nursing students require essential information literacy (IL) skills: locate research articles, assess for quality, and apply to practice-based scenarios. Understanding research remains a common challenge, with one study finding 40% of 2nd year nursing students have difficulty reading journal articles, yet stand-alone IL workshops rarely allow time needed to develop critical reading, assessment, and reflection practices. Our discovery-based, scaffolded IL learning approach is modeled on the student journal club, which has been found to positively impact students’ application of research in clinical contexts. By embedding IL instruction strategically throughout a 1st year nursing course we hoped to enhance understanding, mindset, retention, and transferability of IL. This study sought to identify the impact of the journal club on nursing student IL self-efficacy, as measured through the validated Information Literacy Self-Efficacy Scale.
  • Item
    Virtual health assessment laboratory course delivery and nursing student clinical judgment: a mixed-methods exploratory study
    (2022) Vihos, Jill; Chute, Andrea; Carlson, Susan; Buro, Karen; Velupillai, Nirudika; Currie, Tami
    The purpose of this study was to investigate the relationship between the virtual delivery of a health assessment laboratory course and nursing students' clinical judgment.
  • Item
    On norm almost periodic measures
    (2021) Spindeler, Timo; Strungaru, Nicolae
    In this paper, we study norm almost periodic measures on locally compact Abelian groups. First, we show that the norm almost periodicity of μ is equivalent to the equi-Bohr almost periodicity of μ∗g for all g in a fixed family of functions. Then, we show that, for absolutely continuous measures, norm almost periodicity is equivalent to the Stepanov almost periodicity of the Radon–Nikodym density.