英文标题:
《Eventological H-theorem》
---
作者:
Oleg Yu. Vorobyev
---
最新提交年份:
2018
---
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.
---
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。
---
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
--
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
--
---
PDF下载:
-->