  We model coherent exciton transport in dendrimers by continuous-time quantum
walks (CTQWs). For dendrimers up to the second generation the coherent
transport shows perfect recurrences, when the initial excitation starts at the
central node. For larger dendrimers, the recurrence ceases to be perfect, a
fact which resembles results for discrete quantum carpets. Moreover, depending
on the initial excitation site we find that the coherent transport to certain
nodes of the dendrimer has a very low probability. When the initial excitation
starts from the central node, the problem can be mapped onto a line which
simplifies the computational effort. Furthermore, the long time average of the
quantum mechanical transition probabilities between pairs of nodes show
characteristic patterns and allow to classify the nodes into clusters with
identical limiting probabilities. For the (space) average of the quantum
mechanical probability to be still or again at the initial site, we obtain,
based on the Cauchy-Schwarz inequality, a simple lower bound which depends only
on the eigenvalue spectrum of the Hamiltonian.
