High Dimensional Probability II

The book "High Dimensional Probability II" offers a comprehensive analysis of developments in high-dimensional probability theory that have emerged over the past three decades. It addresses central topics such as limit theorems for sums of independent random vectors defined in Banach spaces, as well as general Gaussian processes. The authors Evarist Giné, David M. Mason, and Jon A. Wellner illuminate the probabilistic nature of the problems discussed and demonstrate how work in general Banach spaces has led to significant advancements in the theory of Gaussian processes. The book also introduces new, powerful tools that find applications in various fields of mathematics and natural sciences. The far-reaching applications of the techniques covered in this work extend across statistics, the theory of Markov processes, and harmonic analysis, highlighting the relevance and impact of this research.