Скачать или смотреть Stage 3 of downward trajectory. Event near time 490000.

This is part of a series of videos on nucleation in random graph models, described in the paper https://arxiv.org/abs/1902.07170. This video shows steps 490,000 through 495,000 of the first trajectory of Figure 14 of the paper. Something unusual happens around the 10-second mark: a vertex changes from one pode to another.

The top-left quadrant shows the projections of all the vertices onto the eigenspace spanned by the two eigenvectors of the adjacency matrix with smallest (i.e. most negative) eigenvalues. For a more detailed description, see Figure 15.

The top-right quadrant shows the second-most-negative eigenvalue changing in time; the moving red dot represents the current time. Figure 14 shows the same data in blue.

The bottom-left quadrant shows the number of embedded "two-ear" subgraphs changing in time. Figure 14 shows the same data in red.

The bottom-right quadrant shows the best-fit two-pode graphon of the graph, and it can be seen changing around the 10-second mark. For a more detailed description, see Figure 3.