Areas on the space of smooth probability density functions on $S^2$

Autor:	Ruíz-Pantaleón, J. C., Suárez-Serrato, P.
Rok vydání:	2021
Předmět:	Mathematics - Symplectic Geometry Computer Science - Machine Learning Mathematical Physics Mathematics - Probability Mathematics - Statistics Theory
Druh dokumentu:	Working Paper
Popis:	We present symbolic and numerical methods for computing Poisson brackets on the spaces of measures with positive densities of the plane, the 2-torus, and the 2-sphere. We apply our methods to compute symplectic areas of finite regions for the case of the 2-sphere, including an explicit example for Gaussian measures with positive densities. Comment: 9 pages, 2 algorithms, 3 tables; v2 Corrected one reference
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.07773 Zobrazit plný text záznamu View this record from Arxiv