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Revista Integración

Print version ISSN 0120-419X

Integración - UIS vol.33 no.2 Bucaramanga July/Dec. 2015

 

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

OSCAR F. CASAS-SÁNCHEZa,*, JEANNETH GALEANO-PEÑALOZAb,
JOHN J. RODRÍGUEZ-VEGAb

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.


Texto Completo disponible en PDF


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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.