G.Cigdem Yalcin

Physics Department, Faculty of Sciences, Istanbul University

gcyalcin@istanbul.edu.tr

 

The motivation of this talk is to initiate a discussion on how the superstatistics approach [1], a method that goes beyond traditional analytical approaches, can be applied to complex biological systems. To be able to apply superstatistical analysis to complex biological systems, in this talk I will introduce the concept of superstatistics, a versatile framework for modeling complex systems.

 

For this purpose, I will illustrate its practical applications through several representative examples, demonstrating how superstatistics can be used to classify and better understand diverse complex systems - ranging from environment to cosmic rays and power grids [2–5].

[1] Beck, C. & Cohen, E. G. D. Superstatistics. Phys. A 322, 267–275 (2003).

[2] Rydin Gorjão, L., Jumar, R., Maass, H., Hagenmeyer, V., Yalcin, G. C., Kruse, J., Timme, M., Beck, C., Witthaut, D., Schäfer, B, Open database analysis of scaling and spatio-temporal properties of power grid frequencies. Nat Commun 11, 6362 (2020).

[3] Yalcin, G.C., Beck, C. Generalized statistical mechanics of cosmic rays: Application to positron-electron spectral indices. Sci Rep 8, 1764 (2018). 

[4] Yalcin, G. C., Rabassa, P.  Beck, C. Extreme event statistics of daily rainfall: dynamical systems approach. J. Phys. A: Math. Theor. 49(154001), 1–18 (2016).

[5] Yalcin, G.C., Beck, C., Environmental superstatistics, Phys. A, 392, 5431-5452, (2013).