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# Statistical Laws in Complex Systems | ||
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This repository contains the data and code used in the anlaysis of the results presented in the manuscript "Statistical Laws in Complex Systems", [arXiv:2407.19874](https://arxiv.org/abs/2407.19874) (2024). | ||
This repository contains the data and code used in the manuscript "Statistical Laws in Complex Systems", [arXiv:2407.19874](https://arxiv.org/abs/2407.19874) (2024). | ||
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## Folder Division: | ||
## Folders: | ||
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data/ | ||
datasets used in the analysis; Data on language needs to be downloaded from https://doi.org/10.5281/zenodo.13119897 | ||
- data/ <br> | ||
datasets used in the analysis. The data on linguistic laws is large and needs to be downloaded from https://doi.org/10.5281/zenodo.13119897 | ||
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notebooks/ | ||
Notebooks used to generate the figures of the paper | ||
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src/ | ||
source code used in the data analysis | ||
- notebooks/ <br> | ||
jupyter notebooks used to generate the figures of the paper. | ||
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- src/ <br> | ||
source code used in the data analysis. | ||
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## Credit: | ||
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This repository builds on the ideas, code, and data provided in previous work: | ||
This repository builds on the ideas, code, and data from: | ||
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- Urban Scaling laws: | ||
Paper: J. C. Leitao, J.M. Miotto, M. Gerlach, and E. G. Altmann, "Is this scaling nonlinear?", Royal Society Open Science 3, 150649 (2016) | ||
Paper: E. G. Altmann, "Spatial interactions in urban scaling laws", PLOS ONE 15, e0243390 (2020) | ||
Code: https://github.com/edugalt/scaling | ||
- Paper: J. C. Leitao, J.M. Miotto, M. Gerlach, and E. G. Altmann, "Is this scaling nonlinear?", [Royal Society Open Science 3, 150649 (2016)](http://rsos.royalsocietypublishing.org/content/3/7/150649) | ||
- Paper: E. G. Altmann, "Spatial interactions in urban scaling laws", [PLOS ONE 15, e0243390 (2020)](https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0243390) | ||
- Code: https://github.com/edugalt/scaling | ||
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- Fitting frequency distributions and rank-frequency distributions | ||
Paper: M. Gerlach and E. G. Altmann, "Stochastic model for the vocabulary growth in natural languages", Phys. Rev. X 3, 021006 (2013) | ||
Paper: H. H. Chen, T. J. Alexander, D. F.M. Oliveira, E. G. Altmann, "Scaling laws and dynamics of hashtags on Twitter", Chaos 30, 063112 (2020) | ||
Code: https://github.com/edugalt/TwitterHashtags | ||
- Fitting frequency distributions and rank-frequency distributions: | ||
- Paper: M. Gerlach and E. G. Altmann, "Stochastic model for the vocabulary growth in natural languages", [Phys. Rev. X 3, 021006 (2013)](http://link.aps.org/doi/10.1103/PhysRevX.3.021006) | ||
- Paper: H. H. Chen, T. J. Alexander, D. F.M. Oliveira, E. G. Altmann, "Scaling laws and dynamics of hashtags on Twitter", [Chaos 30, 063112 (2020)](https://doi.org/10.1063/5.0004983) or [arXiv](https://arxiv.org/abs/2004.12707) | ||
- Code: https://github.com/edugalt/TwitterHashtags | ||
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- Effect of correlation | ||
Paper: M. Gerlach and E. G. Altmann, "Testing statistical laws in complex systems", Phys. Rev. Lett. 122, 168301 (2019) | ||
Code: https://github.com/martingerlach/testing-statistical-laws-in-complex-systems | ||
- Paper: M. Gerlach and E. G. Altmann, "Testing statistical laws in complex systems", [Phys. Rev. Lett. 122, 168301 (2019)](https://doi.org/10.1103/PhysRevLett.122.168301) or [arXiv](https://arxiv.org/abs/1904.11624) | ||
- Code: https://github.com/martingerlach/testing-statistical-laws-in-complex-systems | ||
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- Constrained surrogates | ||
Paper: J. M. Moore, G. Yan, E. G Altmann, "Nonparametric Power-Law Surrogates", Phys. Rev. X 12, 021056 (2022) | ||
Codes: https://github.com/JackMurdochMoore/power-law/ | ||
- Paper: J. M. Moore, G. Yan, E. G Altmann, "Nonparametric Power-Law Surrogates", [Phys. Rev. X 12, 021056 (2022)](https://doi.org/10.1103/PhysRevX.12.021056) | ||
- Code: https://github.com/JackMurdochMoore/power-law/ | ||
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