Drift-Controlled Density Regimes in kx+1 Dynamical Systems: Ensemble Magnitude Growth and Coalescence Under N-Scaling

Computational study of ensemble dynamics in generalized kx+1 maps. 
Shows k=3 exhibits bounded magnitude with persistent collision density 
under N-scaling, while k≥4 shows expanding magnitude with diluting collisions. 
Based on simulations up to N=200,000, T=160.