Models of Bak-Tang-Wiesenfeld, Manna, Feders and stochastic Feders sand piles on cellular automaton and random graphs in Python 3
v1.2 - Added alternative pattern of sand grains addition into the systems (randomly distubuted +2-1 in addition to the standart +1), which allows to change system behaviour to the more predictable state
v1.3 - Added one more alternative pattern of sand grains addition into the systems (randomly distubuted +1-1 in addition to the previous ones), which allows to check if systems can stay in the same state
v1.4 - Added two more patterns of sand grains addition (exponential or Pareto distributions for the number of new grains each turn), refactored functions for the creation of new grains
v1.5 - Added alternative implementation of Chung-Lu models with the directed (instead of basic undirected) edges
v1.5.1 - Added ability to calculate number of the edges that grains have passed during the iteration as an alternative to the number of falls
Some of the results presented in these files are used for the publications:
- Dmitriev, A., Lebedev, A., Kornilov, V., & Dmitriev, V. (2022). Multifractal Early Warning Signals about Sudden Changes in the Stock Exchange States. Complexity, 2022, 1–10. https://doi.org/10.1155/2022/8177307
- Dmitriev, A., Lebedev, A., Kornilov, V., & Dmitriev, V. (2023). Effective precursors for self-organization of complex systems into a critical state based on dynamic series data https://doi.org/10.3389/fphy.2023.1274685