14 Nov 2001

In the first lecture the required background will be given. We define measure and topological entropy. Then we will discuss an application of Rohlin metric for partitions. Namely we define some strange metrics on the following spaces: circle S¹, Mobius band M², 3-sphere S³, complex projective space CPⁿ. For the circle S¹ we explain how to calculate metric entropy h(d) of a metric d. For the Rohlin metric d_R this entropy coincides with the measure entropy of the map E₂. We show how it works for other maps f:S¹→S¹.