Ultrametric Logarithm Laws I

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We announce ultrametric analogues of the results of Kleinbock-Margulis for shrinking target properties of semisimple group actions on symmetric spaces. The main applications are S-arithmetic Diophantine approximation results and logarithm laws for buildings, generalizing the work of Hersonsky-Paulin on trees.
This announcement has been completely revised to reflect many new developments. Please direct all references to this NEW announcement. It is now co-authored work. Submitted to Discrete and Continuous Dynamical Systems

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Geometric Topology, Dynamical Systems, 327A17 (Primary) 11H16 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/174552

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506531
 http://arxiv.org/abs/math/0506531

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arXiv