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"The Rapid Evaluation of Potential Fields in Particle Systems presents a group of algorithms for the computation of the potential and force fields in large-scale systems of particles that are likely to revolutionize a whole class of computer applications in science and engineeri…
The 12 invited lectures and 26 contributed papers cover a wide range of potential theory, from classical to nonlinear. Among the topics are the Dirichlet and Neumann problems, Martin compactification, Choquet theory, and the applications to probability theory and other branches …
Methods of classical analysis devised originally for the disc are here extended to more general plane regions by the use of Green's lines, the Green's mapping, and an ideal boundary structure generalizing the prime-end structure of Carathéodory. The regions admitted include all …
Global aspects of classical and axiomatic potential theory are developed in a purely algebraic way, in terms of a new algebraic structure called a mixed lattice semigroup. This generalizes the notion of a Riesz space (vector lattice) by replacing the usual symmetrical lower and …
This work is concerned with the application of the theory of stochastic processes, of potential theory and of convex analysis to the optimal control of diffusions. Very general results of existence are proved for diffusions killed on a Borel set, for "dying" diffusions, for unid…
