中文

朝向牛顿热力学的笔记

概率论 2023-04-04 v1 代数拓扑

摘要

我们将随机变量 XX 的矩生成函数 E(etX):=expF(t)R[[t]]{\bf E}(e^{tX}):= {\rm exp}_F(t) \in {\bf R}[[t]] 解释为定义在 R{\bf R} 上的关联一维形式群律 FF 的指数。

关键词

引用

@article{arxiv.2304.00384,
  title  = {Notes toward a Newtonian thermodynamics},
  author = {Jack Morava},
  journal= {arXiv preprint arXiv:2304.00384},
  year   = {2023}
}

备注

The cumulant generating functions of statistical mechanics are closely related to Gibbs free energy in thermodynamics, and in turn to classical symmetric and partition functions, and through them to formal groups and the characteristic classes of VL Ginsburg's (pre-quantized) symplectic manifolds