Pointwise convergence of densities under iteration of Ulam and von Neumann's map
- 21 December 1986
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (18) , 3921-3922
- https://doi.org/10.1088/0305-4470/19/18/037
Abstract
The pointwise convergence of the probability densities induced from an initial density on (0,1) under repeated iteration of the map x to 4s(1-x) is established for a large class of initial densities.Keywords
This publication has 3 references indexed in Scilit:
- Evolution towards an invariant density distribution under a discrete-time quadratic mapJournal of Physics A: General Physics, 1986
- Invariant density for a class of initial distributions under quadratic mappingJournal of Physics A: General Physics, 1985
- Evolution of the density for a chaotic mapPhysics Letters A, 1984