This is a tutorial on some of the main ideas in KAM theory. The goal is to present the
background and to explain and compare somewhat informally some of the main methods of …

In this book we describe the basic principles, problems, and methods of cl-sical mechanics.
Our main attention is devoted to the mathematical side of the subject. Although the physical …

3.4. Isoperimetric inequalities in Riemannian manifolds 25 4. Filling in Banach spaces 28
4.1. Normalization of Haar's measure 28 4.2. Isoperimetric inequalities in Banach spaces 34 …

Singular spaces with upper curvature bounds and, in particular, spaces of nonpositive
curvature, have been of interest in many fields, including geometric (and combinatorial) …

This book is an introduction to the applications in nonequilibrium statistical mechanics of
chaotic dynamics, and also to the use of techniques in statistical mechanics important for an …

John Hornstein has written about the author's theorem on nonintegrability of geodesic flows
on closed surfaces of genus greater than one:" Here is an example of how differential …

The central geometric objects associated with an Anosov dynamical system on a compact
manifold are the invariant stable and unstable foliations. While each stable and unstable …

Let (Y, g) be a compact connected n-dimensional Riemannian manifold and let () be its
universal cover endowed with the pulled-back metric. If y∈, we definewhere B (y, R) …

This is an extended report on a problem session about geodesic flows held on May 30, 1984
at MSRI, Berkeley. The list of six authors reflects the principal participants in the discussion …

We show that the critical exponent of a representation ρ ρ in the Hitchin component of PSL
(d, R) PSL (d, R) is bounded above, the least upper bound being attained only in the …