New York Journal of Mathematics
Volume 19 (2013) 1-11

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Jayadev S. Athreya, Anish Ghosh, and Amritanshu Prasad

Buildings, extensions, and volume growth entropy

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Published: January 27, 2013
Keywords: Bruhat-Tits buildings; field extensions; volume growth entropy
Subject: 51E24, 37P20
Abstract
Let F be a non-Archimedean local field and let E be a finite extension of F. Let G be an F-split semisimple F-group. We discuss how to compare volumes on the Bruhat-Tits buildings BE and BF of G(E) and G(F) respectively.

Acknowledgements

A.G. is partly supported by a Royal Society Grant.
J.S.A. is partially supported by NSF grant DMS 1069153.
Author information

Jayadev S. Athreya:
Department of Mathematics, University of Illinois, 1409 W. Green Street, Urbana, IL 61801
jathreya@illinois.edu

Anish Ghosh:
School of Mathematics, University of East Anglia, Norwich, NR4 7TJ UK
ghosh.anish@gmail.com

Amritanshu Prasad:
The Institute of Mathematical Sciences, Taramani, Chennai 600 113, India
amri@imsc.res.in