Doi: http://dx.doi.org/10.15446/recolma.v48n2.54124

¹Centro de Investigación y de Estudios Avanzados del I.P.N., México D.F, México. Email: fchacon@math.cinvestav.mx

In this article we study the problem of the first passage time associated to certain elliptic pseudodifferential operators in dimensions 4 and 2 over the p-adics. This type of problems appeared in connection with certain models of complex systems.

Key words: Random walks, Diffusion, Dynamics of disordered systems, Relaxation of complex systems, p-Adic numbers, Non-archimean analysis.

En este artículo se estudia el problema del primer retorno asociado a ciertos operadores pseudo-diferenciales elípticos en dimensiones 4 y 2 sobre los números p-ádicos. Este tipo de problemas está conectado con ciertos modelos de sistemas complejos.

Palabras clave: Caminatas aleatorias, difusión, sistemas dinámicos desordenados, relajación en sistemas complejos, números p-ádicos, análisis no Arquimediano.

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