Bøger i C.I.M.E. Foundation Subseries serien

This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.

This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images.

Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics.

This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory.

This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods in minimal surfaces, CR geometry in dimension three, and the Ricci flow and Ricci limit spaces.

This volume brings together four contributions to mathematical fluid mechanics, a classical but still highly active research field.

This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Groebner bases and degenerations, and applications of Adams operations. The material contained in this volume, based on lectures given at a workshop held in Levico Terme, Trento, in July 2019, highlights some of these developments.

In recent years flows in networks have attracted the interest of many researchers from different areas, e.g. The main reason for this ubiquity is the wide and diverse range of applications, such as vehicular traffic, supply chains, blood flow, irrigation channels, data networks and others.

This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M.