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Arbitrary Truncated Levy Flight: Asymmetrical Truncation and High-Order Correlations
Financial Stochastic processes Truncated Levy Flights High-Order Correlations NonGaussian Random Walk
2012/6/5
The generalized correlation approach, which has been successfully used in statistical radio physics to describe non-Gaussian random processes, is proposed to describe stochastic financial processes. T...
Evolution of optimal Levy-flight strategies in human mental searches
Evolution of optimal Levy-flight strategies human mental searches Computer Science and Game Theory
2012/4/20
Recent analysis of empirical data [F. Radicchi, A. Baronchelli & L.A.N. Amaral. PloS ONE {\bf 7}, e029910 (2012)] showed that humans adopt L\'evy flight strategies when exploring the bid space in on-l...
Cumulant Approach of Arbitrary Truncated Levy Flight
Stochastic processes Truncated Levy Flights Cumulant approach
2010/10/20
The problem of an arbitrary truncated Levy flight description using the method of cumulant approach has been solved. The set of cumulants of the truncated Levy distribution given the assumption of ar...
Computer Simulation Study of the Levy Flight Process
05.40.Fb 82.20.Wt Levy flight Anomalous diffusion Nonlinearity Non-ergodicity
2010/3/9
Random walk simulation of the Levy flight shows a linear relation
between the mean square displacement and time. We have analyzed different
aspects of this linearity. It is shown that the restr...
Computer Simulation Study of the Levy Flight Process
Computer Simulation Levy Flight Process Random walk
2010/4/1
Random walk simulation of the Levy flight shows a linear relation between the mean square displacement and time. We have analyzed different aspects of this linearity. It is shown that the restric...