Table of Contents:
  • Introduction
  • Basic definitions and preliminaries
  • PART I. POTENTIAL THEORY AND ISOPERIMETRIC INEQUALITIES. Some elements of potential theory
  • Isoperimetric inequalities
  • Polynomial volume growth
  • PART II. LOCAL THEORY. Motivation of the local approach
  • Einstein relation
  • Upper estimates
  • Lower estimates
  • Two-sided estimates
  • Closing remarks
  • Parabolic Harnack inequality
  • Semi-local theory.