Search for: All records

Creators/Authors contains: "Antonio Auffinger"

« Prev Next »

Total Resources

1

Resource Type
Conference Paper

0

Conference Proceeding

0

Dataset

0

Journal Article

1

Workshop Report

0

Availability
Full Text / Resource Available

1

Citation Only

0

Save Results
Excel (limit 2000)
CSV (limit 5000)
XML (limit 5000)

Have feedback or suggestions for a way to improve these results?
!

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups

https://doi.org/10.48550/arXiv.2110.00055

Antonio Auffinger ; Christian Gorski ( September 2021 , ArXivorg)

We study first passage percolation (FPP) with stationary edge weights on Cayley graphs of finitely generated virtually nilpotent groups. Previous works of Benjamini-Tessera and Cantrell-Furman show that scaling limits of such FPP are given by Carnot-Carathéodory metrics on the associated graded nilpotent Lie group. We show a converse, i.e. that for any Cayley graph of a finitely generated nilpotent group, any Carnot-Carathéodory metric on the associated graded nilpotent Lie group is the scaling limit of some FPP with stationary edge weights on that graph. Moreover, for any Cayley graph of any finitely generated virtually nilpotent group, any conjugation-invariant metric is the scaling limit of some FPP with stationary edge weights on that graph. We also show that the conjugation-invariant condition is also a necessary condition in all cases where scaling limits are known to exist.
more » « less
Full Text Available