The problem of the first return attached to a
pseudodifferential operator in dimension 3

OSCAR F. CASAS-SÁNCHEZ^a,*, JEANNETH GALEANO-PEÑALOZA^b,
JOHN J. RODRÍGUEZ-VEGA^b

^aUniversidad de los Andes, Departamento de Matemáticas, Bogotá, Colombia.

^bUniversidad Nacional de Colombia, Departamento de Matemáticas, Bogotá, Colombia.

Abstract. In this article we study the problem of first return associated to an elliptic pseudodifferential operator with non-radial symbol of dimension 3 over the p-adics.

Keywords: Random walks, ultradiffusion, p-adic numbers, non-archimedean analysis.
MSC2010: 82B41, 82C44, 26E30.

El problema del primer retorno asociado a un
operador seudodiferencial en dimensión 3

Resumen. En este artículo estudiamos el problema del primer retorno asociado a un operador seudodiferencial elíptico con símbolo no radial de dimensión 3 sobre el cuerpo de los números p-ádicos.

Palabras claves: Caminatas aleatorias, ultradifusión, números p-ádicos, análisis no arquimediano.

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^*Email:oscasas@uniandes.edu.co
Received: 16 July 2015, Accepted: 20 August 2015.
To cite this article: O.F. Casas-Sánchez, J. Galeano-Peñaloza, J.J. Rodríguez-Vega, The problem of the first return attached to a pseudodifferential operator in dimension 3, Rev. Integr. Temas Mat. 33 (2015), No. 2, 107-119.