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arXiv · 2110.07773

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

J. C. Ruíz-Pantaleón·P. Suárez-Serrato
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Abstract

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.

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BibTeXRIS

J. C. Ruíz-Pantaleón, P. Suárez-Serrato. 2021-10-14. Areas on the space of smooth probability density functions on $S^2$. https://arxiv.org/abs/2110.07773

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