Image thresholding is an important topic for image processing, pattern recognition and computer vision. Fuzzy set theory has been successfully applied to many areas, and it is generally believed that image processing bears some fuzziness in nature. In this paper, we employ the newly proposed 2D...

The authors propose a new method for estimating the power-law exponents of firm size variables. Their focus is on how to empirically identify a range in which a firm size variable follows a power-law distribution. On the one hand, as is well known a firm size variable follows a power-law...

The primary goal of the book is to present the ideas and research findings of active researchers from various communities (physicists, economists, mathematicians, financial engineers) working in the field of "Econophysics", who have undertaken the task of modelling and analyzing order-driven...

Introduction -- The random walk -- Beyond the simple random walk -- Understanding interactions through cross-correlations -- Why care about a power law? -- The log-normal and extreme-value distributions -- When a single distribution is not enough? -- Explaining complex distributions with simple...

We present a novel application of constrained Fisher information: the reconstruction of probability densities implicit in financial security prices. We illustrate the potential of this method by calculating the densities implicit in bond and option prices and find the resulting densities to be...

Mit der Finanzkrise ist auch die klassische ökonomische Theoriebildung in eine Krise geraten: In effizienten Märkten sollte es eigentlich keine Asset-Blasen und Börsencrashs geben. Als interdisziplinärer Ansatz der Wirtschaftswissenschaften und der Physik besteht der Anspruch der...

The primary goal of the book is to present the ideas and research findings of active researchers from various communities (physicists, economists, mathematicians, financial engineers) working in the field of "Econophysics", who have undertaken the task of modelling and analyzing order-driven...