The distribution νλ of the random series ∑ ±λ is the infinite convolution product of 1 2 (δ−λn + δλn). These measures have been studied since the 1930’s, revealing connections with harmonic analysis, the theory of algebraic numbers, dynamical systems, and Hausdorff dimension estimation. In this survey we describe some of these connections, and the progress that has been made so far on the funda...

IT is a privilege to have been asked to give the sixty-ninth Mary Scott Newbold Lecture. The list of my predecessors is indeed distinguished. The topic, cardiac failure, was chosen because my colleagues and I have been concerned with this problem for almost a quarter of a century. In this lecture I propose to outline my present concepts based on the evolution of thinking which has resulted from...

Kathy Horadam was born in 1951 in Armidale, Australia. Her BSc and PhD degrees, both in pure mathematics, are from the Australian National University. The major part of Kathy’s career has been at RMIT University, where she has been a professor of mathematics since 1995. Even though Kathy has worked in academia for 30 years, she has also undertaken defence research, working for three years in th...

The template theory presented in Gobet and Simon (1996a, 1998) is based on the EPAM theory (Feigenbaum & Simon, 1984; Richman et al., 1995), including the numerical parameters that have been estimated in tests of the latter; and it therefore offers precise predictions for the timing of cognitive processes during the presentation and recall of chess positions. This paper describes the behavior o...

In writings that preceded the creation of our College, Dr Victor Johnston, our first Executive Director, detailed the need to encourage GPs to be active in hospital care, to create proper postgraduate training for general practice, and to enhance research in general practice.1 Fast forward to today: family medicine is much better defined as a discipline, and we have robust standards of training...