Logarithmic Potentials with External Fields (2nd Edition)
Logarithmic Potentials with External Fields
English | 2024 | ISBN: 3031651324 | 598 Pages | PDF (True) | 6 MB
English | 2024 | ISBN: 3031651324 | 598 Pages | PDF (True) | 6 MB
As the title implies, the book expands the classical theory of logarithmic potentials to encompass scenarios involving an external field. This external field manifests as a weight function in problems dealing with energy minimization and its associated equilibria. These weighted energies arise in diverse applications such as the study of electrostatics problems, orthogonal polynomials, approximation by polynomials and rational functions, as well as tools for analyzing the asymptotic behavior of eigenvalues for random matrices, all of which are explored in the book. The theory delves into diverse properties of the extremal measure and its logarithmic potentials, paving the way for various numerical methods.