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Symmetry in Complex Networks
Symmetry 2011, 3(1), 72-83; doi:10.3390/sym3010072

Long Time Behaviour on a Path Group of the Heat Semi-group Associated to a Bilaplacian

Institut de Mathématiques de Bourgogne, Université de Bourgogne, 21078, Dijon Cedex, France
Received: 16 February 2011 / Accepted: 7 March 2011 / Published: 21 March 2011
(This article belongs to the Special Issue Symmetry Measures on Complex Networks)
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We show that in long-time the heat semi-group on a path group associated to a Bilaplacian on the group tends to the Haar distribution on a path group.
Keywords: heat semigroup; Haar distribution; path group heat semigroup; Haar distribution; path group
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Leandre, R. Long Time Behaviour on a Path Group of the Heat Semi-group Associated to a Bilaplacian. Symmetry 2011, 3, 72-83.

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