The Oliver Club
Thursday, November 13, 2014at 4:00 PM in 532 Malott Hall
www.math.corne l l . edu/~ol iver/
Refreshments will be served at 3:30 PM in the Mathematics Department lounge (532 Malott Hall).
Vadim Kaloshin, University of Maryland
Genericity of Arnold’s DiffusionGenericity of Arnold’s Diffusion
In the early 1960s Arnold constructed
an example of instabilities for a nearly
integrable Hamiltonian of dimension
greater than two and conjectured that
this is a generic phenomenon. This is
now known as Arnold diffusion. In the
last two decades a variety of powerful
techniques to attack this problem were
developed. We will discuss two such
techniques — invariant cylinders and
Mather variational method — which
have led to recent progress on this
problem.