Presents the state of the art in the theory of ridge functions, providing a solid theoretical foundation.

This monograph is a progressive introduction to non-commutativity in probability theory, summarizing and synthesizing recent results about classical and quantum stochastic processes on Lie algebras. In the early chapters, focus is placed on concrete examples of the links between algebraic relations and the moments of probability distributions. The subsequent chapters are more advanced and deal with Wigner densities for non-commutative couples of random variables, non-commutative stochastic processes with independent increments (quantum Levy processes), and the quantum Malliavin calculus. This...

An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

A modern presentation of the 'Lyapunov function' method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks.

This advanced monograph is concerned with modern treatments of central problems in harmonic analysis.

This book investigates the influence of the graph of a symmetric matrix on the multiplicities of its eigenvalues.