I(x,x) I= 1rn/2 /r(1+ n/2) . Page 1 64 ISOTROPIC POSITION AND INERTIA ELLIPSOIDS AND
ZONOIDS OF THE UNIT BALL OF A NORMED n-DIMENSIONAL SPACE VD Milman* The …

The Gaussian isoperimetric inequality, and its related concentration phenomenon, is one of
the most important properties of Gaussian measures. These notes aim to present, in a …

The Sobolev spaces, ie the classes of functions with derivatives in L, occupy p an
outstanding place in analysis. During the last two decades a substantial contribution to the …

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 …

Isoperimetric, measure concentration and random process techniques appear at the basis of
the modern understanding of Probability in Banach spaces. Based on these tools, the book …

This is the first comprehensive introduction to the theory of mass transportation with its many—
and sometimes unexpected—applications. In a novel approach to the subject, the book both …

At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and
John Mather launched a revolution in the venerable field of optimal transport founded by G …

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial
objects such as convex polytopes in Euclidean space with vertices on lattice points. Since …

Includes material for a standard graduate class, advanced material not covered by the
standard course but necessary in order to read research literature in the area, and extensive …

Consider a smooth manifold V with an almost complex structure J, that is a C~ of complex
linear structures in the tangent spaces T~(V), ve V. For example, if dimV= 2, then (V, J) is …