%0 Journal Article %T Stochastic equations generating continuous multiplicative cascades %+ Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry]) %A Schmitt, F. %A Marsan, D. %< avec comité de lecture %J The European Physical Journal B %V 20 %P 3-6 %8 2001 %D 2001 %Z cond-mat/0102346 %Z 2001EPJB...20....3S %R 10.1007/BF01313905 %K 02.50.Ey %K 05.40.Fb %K Stochastic processes %K Random walks and Levy flights %K Condensed Matter - Statistical Mechanics %K Condensed Matter - Disordered Systems and Neural Networks %Z Sciences of the Universe [physics]Journal articles %X Discrete multiplicative turbulent cascades are described using a formalism involving infinitely divisible random measures. This permits to consider the continuous limit of a cascade developed on a continuum of scales, and to provide the stochastic equations defining such processes, involving infinitely divisible stochastic integrals. Causal evolution laws are also given. This gives the first general stochastic equations which generate continuous multifractal measures or processes. %G English %L insu-03606666 %U https://insu.hal.science/insu-03606666 %~ INSU %~ UNIV-SAVOIE %~ UGA %~ USMB-COMUE