论文标题

de probabilidad en las ciencias de la complejidad:una perspectivaerporánea

Distribuciones de probabilidad en las ciencias de la complejidad: una perspectiva contemporánea

论文作者

Fontanelli, Oscar, Miramontes, Pedro, Mansilla, Ricardo

论文摘要

21世纪的科学似乎受涉及跨学科工作,系统性观点和复杂性理论概念的新颖方法的控制。这些新的范式迫使我们抛弃了我们的老年机械方法,并基于随机性,混乱,统计和概率来接受新的起点。在这项工作中,我们根据大量,中心限制定理和稳定分布的定律来回顾复杂性理论的基本思想以及研究复杂系统的经典概率模型。我们还谈论了电力定律,这是现象显示长时间分布的最常见模型,我们探讨了这种模型在实践中产生的主要困难。我们展示了对这种现象进行描述的新替代方法,最后我们展示了两个例子,说明了这种新模型的应用。

Science in the 21st century seems to be governed by novel approaches involving interdisciplinary work, systemic perspectives and complexity theory concepts. These new paradigms force us to leave aside our elder mechanistic approaches and embrace new starting points based on stochasticity, chaoticity, statistics and probability. In this work we review the fundamental ideas of complexity theory and the classic probabilistic models to study complex systems, based on the law of large numbers, central limit theorems and stable distributions. We also talk about power laws as the most common model for phenomena showing long tail distributions and we explore the principal difficulties that arise in practice with this kind of models. We show a novel alternative for the descripition of this type of phenomena and lastly we show two examples that illustrate the applications of this new model.

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