Convex and Discrete Geometry is an area of mathematics situated between analysis,
geometry and discrete mathematics with numerous relations to other areas. The book gives …

This book is a continuation of Asymptotic Geometric Analysis, Part I, which was published as
volume 202 in this series. Asymptotic geometric analysis studies properties of geometric …

The study of high-dimensional convex bodies from a geometric and analytic point of view,
with an emphasis on the dependence of various parameters on the dimension stands at the …

Horst Martini Luis Montejano Déborah Oliveros An Introduction to Convex Geometry with
Applications Page 1 Bodies of Constant Width Horst Martini Luis Montejano Déborah Oliveros An …

Graphs are usually represented as geometric objects drawn in the plane, consisting of
nodes and curves connecting them. The main message of this book is that such a …

" There are many bits and pieces of folklore in mathematics that are passed down from
advisor to student, or from collaborator to collaborator, but which are too fuzzy and non …

New Lp affine isoperimetric inequalities Page 1 Advances in Mathematics 218 (2008) 762–780
www.elsevier.com/locate/aim New Lp affine isoperimetric inequalities Elisabeth Wernera,b,∗,1 …

We give a novel algorithm for enumerating lattice points in any convex body, and give
applications to several classic lattice problems, including the Shortest and Closest Vector …

In this note we link symplectic and convex geometry by relating two seemingly different open
conjectures: a symplectic isoperimetric-type inequality for convex domains and Mahler's …

We prove Mahler's conjecture concerning the volume product of centrally symmetric, convex
bodies in R n in the case where n= 3. More precisely, we show that, for every 3-dimensional …