Template-type: ReDIF-Paper 1.0
Author-Name: La Torre, Davide
Author-Email: davide.latorre@unimi.it 
Author-Name:  Marsiglio, Simone
Author-Email: simonem@uow.edu.au
Author-Name:  Mendivil, Franklin
Author-Email: franklin.mendivil@acadiau.ca
Author-Name: Privileggi, Fabio
Author-Email:fabio.privileggi@unito.it.
Author-Workplace-Name: University of Turin
Author-Workplace-Homepage: http://www.est.unito.it/
Title: Fractal Attractors and Singular Invariant Measures in Two-Sector Growth Models with Random Factor Shares.
Abstract: We analyze a multi-sector growth model subject to random shocks affecting the two sector-specific 
production functions twofold: the evolution of both productivity and factor shares is the result of such exogenous shocks. 
We determine the optimal dynamics via Euler-Lagrange equations, and show how these dynamics can be described in 
terms of an iterated function system with probability. We also provide conditions that imply the singularity of 
the invariant measure associated with the fractal attractor. Numerical examples show how specific parameter configurations
might generate distorted copies of the Barnsley’s fern attractor.
Length: pages 23
Creation-Date: 2016-12
File-URL: http://www.est.unito.it/do/home.pl/Download?doc=/allegati/wp2016dip/wp_20_2016.pdf
File-Format: Application/PDF
Handle: RePEc:uto:dipeco:201620