Martingales and Brownian Motion: Three Stopping Theorems

Related lectures (30)

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Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.

Covers translating natural language to propositional logic and proving tautologies.

Covers Doob's decomposition theorem for submartingales and explores Brownian motion properties, quadratic variation, and continuous martingales.

Explores finite transition systems, propositional logic, truth interpretation, satisfiability, and boolean function representation with circuits.

Explores proof techniques in logic, demonstrating how to prove or disprove propositions using negations and assumptions.

Explains constructing DNF and CNF in propositional logic and their complexity.

Explains variables, predicates, propositional functions, and quantifiers in predicate logic.

Covers propositional logic, logical connectives, truth tables, and compound propositions.

Explores differentiability, propositions evaluation, and solutions to equations using derivatives.

Discusses convergence, martingales, Brownian motion, joint laws, testing procedures, and stop times.