Explores interlacing polynomials, real rooted theorems, and pseudo-probabilistic methods in polynomial analysis.
Explores the theory of martingales, including conditional expectations, Chernoff bounds, and Azuma's inequality.
Covers topics related to probability and statistics, including finding specific values and significant events.
Covers percolation theory, absorbed polymers, giant molecules, phase transition, scaling assumptions, and universal behavior in percolation models.
Covers bond percolation on a square lattice, discussing percolation phases, critical threshold, mean cluster size, and critical point scenarios.
