Thesis icon

Thesis

Geometry of actions, expanders and warped cones

Abstract:

In this thesis we introduce a notion of graphs approximating actions of finitely generated groups on metric and measure spaces. We systematically investigate expansion properties of said graphs and we prove that a sequence of graphs approximating a fixed action ρ forms a family of expanders if and only if ρ is expanding in measure. This enables us to rely on a number of known results to construct numerous new families of expander (and superexpander) graphs.

Proceeding in our investi...

Expand abstract

Actions


Access Document


Files:

Authors


Federico Vigolo More by this author

Contributors

Role:
Supervisor
More from this funder
Grant:
1502483
Funding agency for:
Federico Vigolo
More from this funder
Grant:
J.T.Hamilton Scholarship
Funding agency for:
Federico Vigolo
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP