| Título: | A martingale on the zero-set of a holomorphic function |
| Autores: | Kink, Peter; Faculty for Computer and Information Sciences, University of Ljubljana |
| Fecha: | 2008-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
complex martingales; stochastic differential equations 60H30;60G46;60H10; |
| Descripción: | We give a simple probabilistic proof of the classical fact from complex analysis that the zeros of a holomorphic function of several variables are never isolated and that they are not contained in any compact set. No facts from complex analysis are assumed other than the Cauchy-Riemann definition. From stochastic analysis only the Ito formula and the standard existence theorem for stochastic differential equations are required. |
| Idioma: | No aplica |
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