At G�ttingen, he taught a variety of courses, mainly on the interface between mathematics and physics, such as mechanics and potential theory.
32.
In writing this book, Doob shows that his two favorite subjects, martingales and potential theory, can be studied by the same mathematical tools.
33.
The mathematical modelling can be done by potential theory, by numerical methods ( e . g . a great number of equilibrium figures.
34.
The limit of the empirical spectral measure of invariant matrix ensembles is described by a certain integral equation which arises from potential theory.
35.
Into the early 19th century, the French Pierre-Simon Laplace [ 1749 1827 ] made paramount contributions to mathematical astronomy, potential theory, and probability theory.
36.
His main research area at that time was abstract potential theory, with special focus on extensions of the Cauchy-Weil theorem to the Choquet boundary.
37.
FWIW, this is the article : Potential theory, the notation shows up just a little more than 1 / 3 of the way in.
38.
Even in the finite case, the analogue I-K of the Laplacian in potential theory has its own maximum principle, uniqueness principle, balance principle, and others.
39.
Today named after him Poisson's equation or the potential theory equation, was first published in the " Bulletin de la soci�t?philomatique " ( 1813 ).
40.
This is the Poisson equation, and can be physically interpreted as some sort of heat conduction problem, or a problem in potential theory, among other possibilities.
