  This paper develops central limit theorems (CLT's) and large deviations
results for additive functionals associated with reflecting diffusions in which
the functional may include a term associated with the cumulative amount of
boundary reflection that has occurred. Extending the known central limit and
large deviations theory for Markov processes to include additive functionals
that incorporate boundary reflection is important in many applications settings
in which reflecting diffusions arise, including queueing theory and economics.
In particular, the paper establishes the partial differential equations that
must be solved in order to explicitly compute the mean and variance for the
CLT, as well as the associated rate function for the large deviations
principle.
