2012  2013
Conference on Limit Theorems in Probability
January 09  11, 2013

Ever since Jakob Bernoulli proved the law of large numbers for Bernoulli
random variables 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 conference following the workshop will have lectures on recent developments in
various relevant fields of probability.
