The main purpose of this paper is to facilitate the communication between the Analytic, Probabilistic and Algorithmic communities. We present a proof of convergence of the Hamiltonian (Hybrid) Monte Carlo algorithm from the point of view of the Dynamical Systems, where the evolving objects are densities of probability distributions and the tool are derived from the Functional Analysis.

翻译：本文件的主要目的是促进分析、概率和算法社区之间的交流,我们从动态系统的角度证明汉密尔顿(Hybrid)蒙特卡洛算法的趋同,在动态系统方面,变化中的物体是概率分布密度,工具来自功能分析。