  We address the theory of records for integrated random walks with finite
variance. The long-time continuum limit of these walks is a non-Markov process
known as the random acceleration process or the integral of Brownian motion. In
this limit, the renewal structure of the record process is the cornerstone for
the analysis of its statistics. We thus obtain the analytical expressions of
several characteristics of the process, notably the distribution of the total
duration of record runs (sequences of consecutive records), which is the
continuum analogue of the number of records of the integrated random walks.
This result is universal, i.e., independent of the details of the parent
distribution of the step lengths.
