  $\Lambda$-coalescents model the evolution of a coalescing system in which any
number of blocks randomly sampled from the whole may merge into a larger block.
For the coalescent restricted to initially $n$ singletons we study the
collision spectrum $(X_{n,k}:2\le k\le n)$, where $X_{n,k}$ counts, throughout
the history of the process, the number of collisions involving exactly $k$
blocks. Our focus is on the large $n$ asymptotics of the joint distribution of
the $X_{n,k}$'s, as well as on functional limits for the bulk of the spectrum
for simple coalescents. Similarly to the previous studies of the total number
of collisions, the asymptotics of the collision spectrum largely depends on the
behaviour of the measure $\Lambda$ in the vicinity of $0$. In particular, for
beta$(a,b)$-coalescents different types of limit distributions occur depending
on whether $0<a\leq 1$, $1<a<2$, $a=2$ or $a>2$.
