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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

5 votes
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Expected Size of Independent Set

Q. Let $G = (V, E)$ be a graph with $V = \{v_1, \cdots, v_n\}$ and $E = \{(v_i, v_{i+1}) \mid 1 \leq i < n\}$. If we repeatedly remove vertices from $G$ uniformly randomly until the set of vertices …
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