Skip to Main content Skip to Navigation
New interface
Journal articles

Dynamics of Mandelbrot cascades

Abstract : Mandelbrot multiplicative cascades provide a construction of a dynamical system on a set of probability measures de ned by inequalities on moments. To be more speci c, beyond the rst iteration, the trajectories take values in the set of xed points of smoothing transformations (i.e., some generalized stable laws). Studying this system leads to a central limit theorem and to its functional version. The limit Gaussian process can also be obtained as limit of an 'additive cascade' of independent normal variables.
Document type :
Journal articles
Complete list of metadata
Contributor : Roc Pretdoc Connect in order to contact the contributor
Submitted on : Thursday, February 21, 2013 - 5:07:19 PM
Last modification on : Tuesday, October 25, 2022 - 4:20:17 PM

Links full text



Julien Barral, Jacques Peyrière, Zhi-Ying Wen. Dynamics of Mandelbrot cascades. Probability Theory and Related Fields, 2009, 144 (3-4), pp.615-631. ⟨10.1007/s00440-008-0156-8⟩. ⟨hal-00793170⟩



Record views