K J Falconer 1988 J. Phys. A: Math. Gen. 21 L737 doi:10.1088/0305-4470/21/14/005
A subadditive thermodynamic formalism for mixing repellers
K J Falconer
Show affiliationsThe thermodynamical description of fractals that has recently attracted much interest both experimentally and theoretically in the study of dynamical systems is, in some ways, limited, being essentially an additive theory. The author presents a subadditive thermodynamic formalism for which he derives a variational principle and shows how it may be used to study the dynamics of non-conformal transformations. In particular the author discusses an analogue of Bowen's formula for the dimension of a mixing repeller.
- PACS
- MSC
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37A25 Ergodicity, mixing, rates of mixing
37B25 Lyapunov functions and stability; attractors, repellers
28A80 Fractals (See also 37Fxx)
37D35 Thermodynamic formalism, variational principles, equilibrium states
- Subjects
- Dates
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Issue 14 (21 July 1988)
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A subadditive thermodynamic formalism for mixing repellers
K J Falconer 1988 J. Phys. A: Math. Gen. 21 L737
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