Journal article
Random groups, random graphs and eigenvalues of p-Laplacians
- Abstract:
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We prove that a random group in the triangular density model has, for density larger than 1/3, fixed point properties for actions on $L^p$-spaces (affine isometric, and more generally $(2-2\epsilon)^{1/2p}$-uniformly Lipschitz) with $p$ varying in an interval increasing with the set of generators. In the same model, we establish a double inequality between the maximal $p$ for which $L^p$-fixed point properties hold and the conformal dimension of the boundary.
In the Gromov density m...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 994.1KB, Terms of use)
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- Publisher copy:
- 10.1016/j.aim.2018.10.035
Authors
Funding
+ French National Research Agency
More from this funder
Funding agency for:
Drutu, C
Grant:
ANR-10-BLAN 0116
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Drutu, C
Grant:
ANR-10-BLAN 0116
analyticaspectsofinfinitegroups
Geometric
Bibliographic Details
- Publisher:
- Elsevier
- Journal:
- Advances in Mathematics More from this journal
- Volume:
- 341
- Pages:
- 188-254
- Publication date:
- 2018-10-30
- Acceptance date:
- 2018-10-22
- DOI:
- EISSN:
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1090-2082
- ISSN:
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0001-8708
Item Description
- Keywords:
- Pubs id:
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pubs:634427
- UUID:
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uuid:b2aa1957-f774-47b7-9d56-28308d4ecb62
- Local pid:
-
pubs:634427
- Source identifiers:
-
634427
- Deposit date:
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2017-03-12
Terms of use
- Copyright holder:
- Drutu and Mackay
- Copyright date:
- 2018
- Notes:
-
© 2018 The Authors. Published by Elsevier Inc. This is an
open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
- Licence:
- CC Attribution (CC BY)
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