We postulate that the first order derivative (delta) of the stock option is a logistic function, which is widely used for modelling growth phenomena with bounded conditions in natural and social sciences. The integration of the logistic function yields the universal description (formula) of the...

Via examining the option prices of seven actively traded stocks (IWM, MDY, QQQQ, SPY, GOOG, MSFT, QCOM, etc.) with a phenomenological approach, we report two important discoveries in this paper. We introduce the dimensionless parameters to express the relationships among them. The first one is...

Why are some ecosystems so rich, but yet contain so many rare species? High species diversity, together with rarity, is a general trend in neotropical forests and coral reefs. But the origin of such diversity and the consequences of food web complexity in both species abundances and temporal...

This paper reports statistical analyses performed on simulated data from a stochastic multi-agent model of speculative behaviour in a financial market. The price dynamics resulting from this artificial market process exhibits the same type of scaling laws as do empirical data from stock markets...

This thesis will first criticize standard financial theory. The focus will be on return distributions, efficient market hypothesis and the independence of returns. Part two gives the intuition to look at markets in a different view. Namely the one proposed by B. Mandelbrot who has shown that...