Introduction to Probability
by Davar Khoshnevisan, Firas Rassoul-Agha
Publisher: University of Utah 2012
Number of pages: 269
This is a first course in undergraduate probability. It requires a solid knowledge of Calculus (I, II, III), and covers standard material such as combinatorial problems, random variables, distributions, independence, conditional probability, expected value and moments, law of large numbers, and the central limit theorem.
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by H.R. Pitt - Tata institute of Fundamental Research
Measure Theory (Sets and operations on sets, Classical Lebesgue and Stieltjes measures, Lebesgue integral); Probability (Function of a random variable, Conditional probabilities, Central Limit Problem, Random Sequences and Convergence Properties).
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Recent progress on understanding of the Random Conductance Model is reviewed and commented. A particular emphasis is on the results on the scaling limit of the random walk among random conductances for almost every realization of the environment.
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