Optimal Stopping Problems: Theory and Applications

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Explores the short history of probability and basic concepts like sample space and event.

Covers the quantum length of SLE and its natural parameterization, exploring key properties and relationships with random planar maps.

Covers z Variable as a Delay Operator, realizable systems, probability theory, stochastic processes, and Hilbert Spaces.

Covers moments, variance, and expected values in probability and statistics, including the distribution of tokens in a product.

Covers stochastic processes in continuous time, including probability functions and stock processes.

Explores conditional probability, Bayes' theorem, and prediction decomposition for informed decision-making.

Covers the analysis of random walks and their return probabilities in multiple dimensions.

Explores the Fokker-Planck and KPZ equations in stochastic processes and random growth models.

Covers probability theory, distributions, and estimation in statistics, emphasizing accuracy, precision, and resolution of measurements.

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.