5 citations · 6 across the 5 of their papers we have counts for
5 papers
Spectra of infinite Cayley graphs, examples with pure band spectra
Pierre de la Harpe
It is shown that there are groups with finite generating sets such that the adjacency operator of the Cayley graph is a disjoint union of intervals, fo…
Spectral multiplicity functions of adjacency operators of graphs and cospectral infinite graphs
Pierre de la Harpe
The adjacency operator of a graph has a spectrum and a class of scalar-valued spectral measures which have been systematically analyzed; it also has a spectral multiplicity functio…
Spectral measures and dominant vertices in graphs of bounded degree
Claire Bruchez, Pierre de la Harpe, Tatiana Nagnibeda
A graph of bounded degree has an adjacency operator~ which acts on the Hilbert space . There are different kinds of measures of interest on the spectrum…
On the prehistory of growth of groups
Pierre de la Harpe
The subject of growth of groups has been active in the former Soviet Union since the early 50's and in the West since 1968, when articles of Švarc and Milnor have been published, i…
Brouwer degree, domination of manifolds, and groups presentable by products
Pierre de la Harpe
For oriented connected closed manifolds of the same dimension, there is a transitive relation: dominates , or , if there exists a continuous map of non-zero degree…