Dynamics of semigroups generated by analytic functions of the Laplacian on Homogeneous Trees

Let $\Psi $ be a non-constant complex-valued analytic function defined on a connected, open set containing the $L^p$-spectrum of the Laplacian $\mathcal{L}$ on a homogeneous tree. In this paper we give a necessary and sufficient condition for the semigroup $T(t)=e^{t\Psi (\mathcal{L})}$ to be chaoti...

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Bibliographic Details
Main Authors: Kumar, Pratyoosh, Rano, Sumit Kumar
Format: Article
Language:English
Published: Académie des sciences 2023-01-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.382/
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