Ergodicity of invariant measures for the geodesic flow on quotient spaces of real trees

• Autores: Charalampos Charitos, Ioannis Papadoperakis
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 4, 2008, págs. 1121-1144
• Idioma: inglés
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• Resumen

  • We consider spaces of the form X/G where X is a real tree and G a group of isometries of X acting properly discontinuously on X. A measure m on the space of geodesics of X/G is constructed. The ergodicity of m with respect to the geodesic flow is studied