英文标题：
《Eventological H-theorem》
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作者：
Oleg Yu. Vorobyev
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最新提交年份：
2018
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英文摘要：
We prove the eventological $H$-theorem that complements the Boltzmann H-theorem from statistical mechanics and serves as a mathematical excuse (mathematically no less convincing than the Boltzmann H-theorem for the second law of thermodynamics) for what can be called \"the second law of eventology\", which justifies the application of Gibbs and \"anti-Gibbs\" distributions of sets of events minimizing relative entropy, as statistical models of the behavior of a rational subject, striving for an equilibrium eventological choice between perception and activity in various spheres of her/his co-being.
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中文摘要：
我们证明了事件学的$H$-定理，该定理补充了统计力学中的Boltzmann H定理，并为所谓的“事件学第二定律”提供了数学上的借口（在数学上不亚于热力学第二定律的Boltzmann H定理），这证明了将吉布斯分布和“反吉布斯”分布的事件集最小化相对熵，作为理性主体行为的统计模型，努力在她/他共同存在的各个领域的感知和活动之间进行平衡的事件学选择。
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分类信息：

一级分类：Quantitative Finance 数量金融学
二级分类：Mathematical Finance 数学金融学
分类描述：Mathematical and analytical methods of finance, including stochastic, probabilistic and functional analysis, algebraic, geometric and other methods
金融的数学和分析方法，包括随机、概率和泛函分析、代数、几何和其他方法
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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