We give sufficient conditions for a shift space (Σ, σ) to be intrinsically ergodic, along with sufficient conditions for every subshift factor of Σ to be intrinsically ergodic. As an application, we show that every subshift factor of a β-shift is intrinsically ergodic, which answers an open question included in Mike Boyle’s article “Open problems in symbolic dynamics”. We obtain the same result...

In Boyle et al. (2000) we propose a simulation method for pricing high-dimensional American style derivatives. The method exploits the uniformity property of the low discrepancy sequences so that the resulting biased high estimator can achieve higher rate of convergence of quasi-Monte Carlo method. In this paper, we extend this work by proposing another estimator that is biased low. It has the ...

The effect of music on the moods, emotions and behaviour of both individuals and groups has been noted throughout history. A number of writers have discussed the functions of music (Merriam, 1964; Gaston, 1968), while others have researched both the physiological and psychological effects (reviewed in Radocy & Boyle, 1988). As a result of this research, music has come to be considered as lying ...