OMG... I was able to parse your first two paragraphs... that inequality is incredible... that means that the superfunction shrinks that right halfplane into a small disk around the fixed point...... so... more we extend to the left, bigger smaller \(\Re s\), more the disk we are sending the half-plane to should grow...in the other direction, more is on the right our halfplane, the bigger is the real part and more we are approaching the attracting fixed point....more the halfplane is sent near the fixed point because the \(f^{\Re s}\) in \(f^s(z)=f^{\Re s}f^{\Im s}(z)\) dominates the behavior... This all makes very sense... I can visualize it...
I think I have to wait until I discover what Julia sets are... and study again what means for orbit to be dense... (Devaney uses this conditions to characterize chaos)...
Pls give me time... I need to absorb all of this.
I think I have to wait until I discover what Julia sets are... and study again what means for orbit to be dense... (Devaney uses this conditions to characterize chaos)...
Pls give me time... I need to absorb all of this.
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)