Develops the modern theory of symmetrization including applications to geometry, PDEs, and real and complex analysis.

The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conject

This is the first systematic presentation of the capacitory approach and symmetrization in the context of complex analysis. The content of the book is original

The mathematical theory of machine learning not only explains the current algorithms but can also motivate principled approaches for the future. This self-conta

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.