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nd GLV distributions will be found to give general and stable descriptions of many complex systems that have hitherto been seen as insoluble. What Dewar, Levy and Solomon's systems consist of are three critical elements; a source, a sink, and some sort of self-limiting behaviour. This model is poten
is simply a complicated and interesting sub-section of the MEP function of the earth as a whole. 202 EFTA00625330 Returning to the mathematics, Dewar [Dewar 2005] has produced a seminal paper that derives maximum entropy production from the first principles of information theory and simple maximum
The research on liquidity suggests two implications for finance that are both quite profound, the first area relates to the pricing models based on Black-Scholes, the second to the pricing of shares under the CAPM. Almost all modern option pricing theory is based on the Black-Scholes model, or other closely-
sible), then it may be that measurement of liquidity might be able to give good timely measures for current volatility that can be used directly in Black-Scholes models; rather than the current practice of imputing from historical volatility. A second significant area of interest for the application of liqui
ormation approach is more obvious mathematically, but like quantum mechanics, somehow seems to imply the necessary presence of an outside observer. Dewar's work, discussed in section 7.3 below may shed some light on this discussion. Both Atkins's and Ben-Naim's books are short and well written, and I
andom walk process has been removed from it's many body background, and individual prices are treated as moving randomly isolated by themselves. But Black-Scholes is simply the diffusion equation, and things don't diffuse with random jumps in a vacuum. The random movements of dust particles undergoing Brownia
that this chaotic motion is noticeable in objects as large as planets. This is not simply the chaos of quantum effects or the stochasticity found in Black-Scholes. This is 'deterministic chaos' or usually 'chaos theory'. The chaos is present even in problems that can be described in exact mathematics and are
appears not to have percolated into the general physics community despite appearing to have general applicability. The ideas of Paltridge, Lorenz, Dewar and others, along with the mathematical techniques of Levy & Solomon, may not be familiar to many physicists, and I believe may be very powerful in
ists working in finance have not only accepted this, but they have built more and more baroque models on these flimsy foundations. The trouble with Black-Scholes is that it works very well, except when it doesn't. This basic flaw has been pointed out from Mandlebrot onwards, to date with no notice taken. Thi
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