Dimension result and KPZ formula for two-dimensional multiplicative cascade processes

• Autores: Xiong Jin
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 40, Nº. 1, 2012, págs. 1-18
• Idioma: inglés
• DOI: 10.1214/10-AOP613
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove a Hausdorff dimension result for the image of two-dimensional multiplicative cascade processes, and we obtain from this result a KPZ-type formula which normally has one point of phase transition.