This paper revisits the Levy sections theorem. We extend the scope of the theorem to time series and apply it to historical daily returns of selected dollar exchange rates. The elevated kurtosis usually observed in such series is then explained by their volatility patterns. And the duration of...

We have previously examined the role of autocorrelations in the sum of stochastic variables together with the existence of scaling power laws (Physica A 323 (2003) 601). Here we employ such an approach to analyze the sluggish convergence [2] in data coming from the S&P500 index. We also employ...

We devise a new asymptotic statistical test to assess independence in bivariate continuous distributions. Our approach is based on the Cramér–von Mises test, in which the empirical process is viewed as the Kullback–Leibler divergence, that is, as the distance between the data under the...

I argue that it is microeconomics that needs foundations, not macroeconomics. Preferences need to be built on biology, and, in particular, on neuroscience. In contrast, macroeconomics could benefit from rationalizations of aggregate economic phenomena by non-equilibrium statistical physics. --...

The author argues that it is microeconomics that needs foundations, not macroeconomics. Preferences need to be built on biology, and, in particular, on neuroscience. In contrast, macroeconomics could benefit from rationalizations of aggregate economic phenomena by non-equilibrium statistical...

In this work we discuss the problem of price definition when using high frequency foreign exchange data. If one uses the spot mid price a strong autocorrelation of returns, at one lag, is found which is only due to microstructure effect and does not capture the real behavior of price dynamics....

We employ the Lévy sections theorem in the analysis of selected dollar exchange rate time series. The theorem is an extension of the classical central limit theorem and offers an alternative to the most usual analysis of the sum variable. We find that the presence of fat tails can be related to...

The author argues that it is microeconomics that needs foundations, not macroeconomics. Preferences need to be built on biology, and, in particular, on neuroscience. In contrast, macroeconomics could benefit from rationalizations of aggregate economic phenomena by non-equilibrium statistical...

I argue that it is microeconomics that needs foundations, not macroeconomics. Preferences need to be built on biology, and, in particular, on neuroscience. In contrast, macroeconomics could benefit from rationalizations of aggregate economic phenomena by non-equilibrium statistical physics.

If stock markets are complex, monetary policy and even financial regulation may be useless to prevent bubbles and crashes. Here, we suggest the use of robot traders as an anti-bubble decoy. To make our case, we put forward a new stochastic cellular automata model that generates an emergent stock...