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Percolation Theory: FKG Inequality
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Related lectures (32)
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Ramanujan Graphs: Generating Functions and Expander Graphs
Explores Ramanujan graphs, generating functions, non-backtracking walks, and expander graphs in relation to NP-hard problems.
Complex Systems: Critical Phenomena
Explores critical phenomena in complex systems, including stochastic objects, percolation, and combinatorial optimization.
Probability Theory: Integration and Convergence
Covers topics in probability theory, focusing on uniform integrability and convergence theorems.
Graph Theory and Network Flows
Introduces graph theory, network flows, and flow conservation laws with practical examples and theorems.
Infinite Coin Tosses: Independence
Explores independence in infinite coin tosses, covering sets, shifts, and T-invariance.
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Convex Polyhedra and Linear Programs
Explores convex polyhedra, linear programs, and their optimization importance.
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Introduces cardinality and mapping in linear algebra, illustrating concepts with examples and visual aids.
Game Theory: Minimax Theorem
Explores zero-sum games and the minimax theorem in Game Theory, emphasizing optimal strategies.
GFF Convergence and Six Vertex Models: Phase Transitions
Covers GFF convergence and the six vertex model's phase transitions.