Abstract
We study chaotic functions that are exact solutions to nonlinear maps. A generalization of these functions (which cannot be expressed as a recursive procedure anymore) can produce truly random sequences. Even if the initial conditions are known exactly, the next values are in principle unpredictable. We present a mathematical formulation of an elementary stochastic process. Several applications are discussed.
Original language | English (US) |
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Pages (from-to) | 425-440 |
Number of pages | 16 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 276 |
Issue number | 3-4 |
DOIs | |
State | Published - Feb 15 2000 |
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics