In this lecture, we will investigate the weighted topological
pressure, weighted measure-theoretic entropy
and variational principle. Topological pressure is an important topic
since these works of Ruelle, Walters and so on.
Following Pesin-Pistskel's definition of topological pressure of
non-compact subsets, which resembles the Hausdorff dimension,
Feng and Huang introduced weighted topological pressure for Z-action and
obtained a variational principle
of weighted topological pressure. There is a natural question how to
generalize their result to general group action.
We will consider the Z^{d}-actions.