This paper is devoted to recent progress made towards the understanding of closed bosonic
and fermionic string perturbation theory, formulated in a Lorentz-covariant way on Euclidean …

The purpose of this review is to present some of the latest developments using random
techniques, and in particular, random matrix techniques in quantum information theory. Our …

This book is an invitation to the world of free probability theory. Free probability is a quite
young mathematical theory with many avatars. It owes its existence to the visions of one …

The theory of random matrices plays an important role in many areas of pure mathematics
and employs a variety of sophisticated mathematical tools (analytical, probabilistic and …

“Geometric Invariant Theory” by Mumford/Fogarty (the first edition was published in 1965, a
second, enlarged edition appeared in 1982) is the standard reference on applications of …

Intersection theory on the moduli space of curves and the matrix airy function Page 1 Commun.
Math. Phys. 147, 1-23 (1992) Communications in Mathematical Physics 9 Springer-Verlag 1992 …

These are notes based on two lectures given at the Conference on Geometry and Topology
(Harvard University, April 1990). The first was mainly devoted to explaining a conjecture …

This book offers an easy and compact access to the theory of TeichmA1/4ller spaces,
starting from the most elementary aspects to the most recent developments, eg the role this …

Random matrix theory is a wide and growing field with a variety of concepts, results, and
techniques and a vast range of applications in mathematics and the related sciences. The …

Aims Theaimofthisbookistoprovideaguidetoarich…-ject: algebraic curves, and how they vary
in families. The revolution that the? eld of algebraic geometry has undergone with the introd …