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  "body": "\n## Summary\n\nThe potential of a measure $\\mu$ with respect to a kernel $k$ is the function $x \\mapsto \\int k(x, y) \\, d\\mu(y)$.\nIt describes the field of a distribution of mass or charge $\\mu$.\nHere $k(x, y)$ is the effect at $x$ of a unit mass at $y$.\nWith the [[Newtonian kernel|6TJTWQ5HCR]] one gets the Newtonian potential, with the [[logarithmic kernel|VDZ5FKYC2T]] the logarithmic potential, and with $\\abs{x - y}^{\\alpha - n}$ the Riesz potentials.\nEnergy, capacity, equilibrium measures and balayage are all defined through potentials of measures.\n\n## Explanations\n\n### L1 human\n\nSpread some mass over space, perhaps unevenly.\nEach small piece of mass creates a small potential around it, given by the kernel.\nThe potential of the whole measure is the sum of all these small contributions, which is an integral.\nFor a single point mass at $a$, the potential is just $k(x, a)$.\n",
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