Haibo Lu

The coefficient 1/log 2 in an n^2 log n lower bound for Hilbert numbers via two-axis recursive bifurcation

This research compendium accompanies the preprint “The coefficient 1/log 2 in an n^2 log n lower bound for Hilbert numbers via two-axis recursive bifurcation.” For real planar polynomial vector fields of degree at most n, the paper proves that liminf H(n)/(n^2 log n) is at least...