Transition Trajectories and Dynamics of Variable-Length Pathways or Sequences // Analyzes transition trajectories in event, sequence, and ordered data, focusing on how states follow one another, how far processes unfold, and where pathways branch or converge. Trajectories are modeled using variable-order prediction suffix trees (Ron, Singer, Tishby, 1996) doi:10.1023/A:1026490906255, implemented in both frequency- based and prediction-based forms. The framework includes multiple pruning, validation, and smoothing techniques to ensure model robustness. Visualization options include transition trees, radial sunburst diagrams, transition heatmaps, and forward trajectory trees.