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Entropy evolution for the Baker map
1School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332-0430.
Chaos (Woodbury, N.Y.)
|June 5, 2003
Abstract:
Gibbs entropy is invariant for the Baker map. A Jordan basis spectral decomposition of the Baker Frobenius-Perron operator suggests that any initial density evolves to the stationary density that has maximal entropy. This entropy conundrum is resolved by considering the difference between weak and strong convergence. A binary representation is used to make these points transparent. (c) 1998 American Institute of Physics.