Recently it has been found that composite Brownian walk searches are more efficient than any Lévy walk when searching is non-destructive and when the Lévy walks are not responsive to conditions found in the search. Here a new class of adaptive Lévy walk searches is presented that encompasses...

This paper sheds light on the potential effect that Information and Communication Technologies (ICT) might generate on cities and spatial structure. The extensive theoretical discussion and speculation on how cities and geography might be affected by digital technologies, which took place before...

The upper tail of the firm size distribution is often assumed to follows a Power Law behavior. Recently, using different estimators and on different data sets, several papers conclude that this distribution follows the Zipf Law, that is that the fraction of firms whose size is above a given...

This note analyzes the distributional properties of Pareto Type III random variables. The orignal two parameters distribution proposed by Pareto is expanded in a three parameters version and both its density and characteristic function are derived. The analytic expression of the inverse...

Recent work drawing on data for large and small firms has shown a Pareto distribution of firm size. We mix a Gibrat-type growth process among incumbents with an exponential distribution of firm's age, to obtain the empirical Pareto distribution.

The upper tail of the firm size distribution is often assumed to follows a Power Law behavior. Recently, using different estimators and on different data sets, several papers conclude that this distribution follows the Zipf Law, that is that the fraction of firms whose size is above a given...

The n-tuple Zipf law widely exists in real symbol sequences such as DNA and language. Based on the n-tuple Zipf analysis on a vast amount of empirical data, we propose a model that can generate sequences with n-tuple Zipf features. In simple words, it is an iterative copy and paste process:...