The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with posi

A broad survey of the theory of rectifiability and its deep connections to numerous different areas of mathematics.

This collection of contributions originates from the well-established conference series "Fractal Geometry and Stochastics" which brings together researchers fro

* Devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process

A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.