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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Survival of the weak in hyperbolic spaces, a remark on competition and geometry


Author: Itai Benjamini
Journal: Proc. Amer. Math. Soc. 130 (2002), 723-726
MSC (1991): Primary 30F45, 82C99
Published electronically: July 25, 2001
MathSciNet review: 1866026
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Abstract:

A simple competition model is presented. While in Euclidean spaces the weak will ``die out'', in the presence of hyperbolicity, coexistence take place.


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Additional Information

Itai Benjamini
Affiliation: Department of Mathematics, The Weizmann Institute of Science, Rehovot, Israel 76100
Email: itai@wisdom.weizmann.ac.il

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06077-4
PII: S 0002-9939(01)06077-4
Received by editor(s): May 20, 2000
Received by editor(s) in revised form: August 25, 2000
Published electronically: July 25, 2001
Communicated by: Claudia M. Neuhauser
Article copyright: © Copyright 2001 American Mathematical Society