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The distribution of returns in nancial time series exhibits heavy tails. In empirical studies, it has been found that gaps between the orders in the order book lead to large price shifts and thereby ...
We extend Kirman's model by introducing variable event time scale. The proposed exi- ble time scale is equivalent to the variable trading activity observed in nancial markets. Stochastic version ...
In a recent paper, Alfonsi, Fruth and Schied (AFS) propose a simple order book based model for the impact of large orders on stock prices.They use this model to derive optimal strategies for the execu...
P.W. Anderson proposed the concept of complexity in order to describe the emergence and growth of macroscopic collective patterns out of the simple interactions of many microscopic agents. In the phy...

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