A local limit theorem for convergent random walks on relatively hyperbolic groups

We study random walks on relatively hyperbolic groups whose law is convergent, in the sense that the derivative of its Green function is finite at the spectral radius.When parabolic subgroups are virtually abelian, we prove that for such a random walk satisfies a local limit theorem of the form $p_n...

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Hauptverfasser:	Dussaule, Matthieu, Peigné, Marc, Tapie, Samuel
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Dynamical Systems Mathematics - Geometric Topology Mathematics - Probability
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