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National Mathematics Initiative (NMI)

2012 - 2013

Workshop on Limit Theorems in Probability

January 02 - 08, 2013

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  • Ever since Jacob Bernoulli's proof of the law of large numbers for Bernoulli random variables first appeared in 1713, the subject of limit theorems has been a driving force for the development of probability theory as a whole. The elucidation of different flavours of laws of large numbers, central limit theorems and laws of iterated logarithm, their extensions to Markov chains or sums of weakly dependent or stationary processes, limit theorems for Banach space valued random variables, etc., have given rise to a rich theory as well as the basic set of tools for tackling any problem involving randomness.

    Today, 300 years after the landmark result of Bernoulli, it is worthwhile to look back at the way in which the search for limit theorems has shaped the subject. It is also fruitful to consider how the emphasis has evolved over time from simple limit theorems to getting bounds on the rates of convergence or obtaining inequalities, which are of more immediate relevance in applications to finite samples. The current workshop and conference will focus on some of these topics, and also more broadly on issues of current interest to probabilists.

    The workshop will consist of five or six short courses on a variety of topics, aimed at the level of advanced graduate students, but also of interest to researchers in probability and related fields. The conference following the workshop will have lectures on recent developments in various relevant fields of probability.




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