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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 24: Extreme Events (joint session DY / SOE)

SOE 24.3: Talk

Thursday, March 19, 2015, 15:45–16:00, BH-N 243

Record statistics for complex random vector — •Shashi C. L. Srivastava — Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden Germany

In this talk, we present the analytical results for average record and average number of records in case of delta-correlated variables. These results are then compared with the numerical results for eigenfunctions of quantized standard map and found in good agreement [1]. Specifically, we will discuss the distribution of records which turns out to be a Gumbel distribution and the logarithmic dependence of average number of records on Planck's constant.

References:

[1] Srivastava, S. C. L., Lakshminarayan, A., and Jain, S. R. Record statistics in random vectors and quantum chaos, EPL 101, 10003 (2013).