Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2007; 44(5): 1051-1063

Printed September 1, 2007

Copyright © The Korean Mathematical Society.

Amalgamated products, critical exponents and uniform growth of groups: a unified approach

G\'erard Besson

Universit\'e de Grenoble I

Abstract

The aim of this note is to advertise a method which turns out to be powerful enough to be used successfully in problems which are apparently unrelated. It is based on a modification of a construction that we first introduced in [2].

Keywords: entropy, barycenter, critical exponents, amalgamated products, growth of groups

MSC numbers: 53C24, 53A35, 51K10