  This paper is concerned with the asymptotic analysis of sojourn times of
random fields with continuous sample paths. Under a very general framework we
show that there is an interesting relationship between tail asymptotics of
sojourn times and that of supremum. Moreover, we establish the uniform
double-sum method to derive the tail asymptotics of sojourn times. In the
literature, based on the pioneering research of S. Berman the sojourn times
have been utilised to derive the tail asymptotics of supremum of Gaussian
processes. In this paper we show that the opposite direction is even more
fruitful, namely knowing the asymptotics of supremum o f random processes and
fields (in particular Gaussian) it is possible to establish the asymptotics of
their sojourn times. We illustrate our findings considering i) two dimensional
Gaussian random fields, ii) chi-process generated by stationary Gaussian
processes and iii) stationary Gaussian queueing processes.
