Select Page

## Arithmetical Dynamics: Part 0

Rational function $$R(z)= \frac {P(z)}{Q(z)}$$ ; where P and Q are polynimials . There are some theory about fixed points . Theorem: Let $$\rho$$ be the fixed point of the maps R and g be the Mobius map . Then $$gRg^{-1}$$ has the same number of fixed points at...

## Arithmetical Dynamics: Part 2

The lower bound calculation is easy . But for the upper bound , observe that each $$z \in K$$ lies in some cycle of length m(z) and we these cycles by $$C_1 , C_2 …..,C_q$$ . Further , we denote the length of the cycle by $$m_j$$ , so , if $$z \in C_j$$...