In the physical world the “identity” of something is taken generally as a given; an apple is an apple; this apple is this apple. When dealing with planetary structure and extension into space, however, the problem of the planet’s “identity” in the surrounding cosmos is writ large. What...

In Part One of this paper we use the harmonic analogy of a musical octave to analyze mathematic ratios of U.S. real GNP. These ratios are generated by bringing together figures for U.S. real GNP over intervals of time – “spreads of years” – as numerator and denominator in a single...

In arguing that borders not only should be understood as economic barriers to trade, but also <p> as cultural barriers to interaction, this paper attempts to operationalize a broader interpretation of <p> borders with regards to economic cross-cultural integration. Thus, by formalizing the cultural <p>...</p></p></p>

The Long-Wave theories of Nikolai Kondratiev and others claim to find mathematic waves in economic and other social data which are at present in dispute. Currently the theory is considered outside the scope of mainstream economics under several rationales. Despite the lack of mainstream...

In the physical world the "identity" of something is taken generally as a given; an apple is an apple; this apple is this apple. When dealing with planetary structure and extension into space, however, the problem of the planet's "identity" in the surrounding cosmos is writ large. What does a...

This set of three volumes argues that the mind – human consciousness – may be measured by considering mathematically the aggregate of that consciousness, i.e. social history. From this beginning theme of discussion three questions must arise. 1. How might this measurement be made? 2. Of what...

We introduce new stylometry tools based on the sliced conditional compression complexity of literary texts which are inspired by the nearly optimal application of the incomputable Kolmogorov conditional complexity (and presumably approximates it). Whereas other stylometry tools can occasionally...

Mean reversion, stochastic volatility, convenience yield and presence of jump clustering are well documented salient features of commodity markets, where Asian options are very popular. We propose a model which takes into account all these stylized features. We first state our model under the...

The outcome of the US presidential election is one of the most significant events that impacts trade, investment, and geopolitical policies on the global stage. It also sets the direction of the world economy and global politics for the next few years. Hence, it is of prime importance not just...

Portfolio optimisation for a Fund of Hedge Funds (“FoHF”) has to address the asymmetric, non-Gaussian nature of the underlying returns distributions. Furthermore, the objective functions and constraints are not necessarily convex or even smooth. Therefore traditional portfolio optimisation...