What is it about?

To introduce a cocycle-like definition of Lyapunov exponent on metric spaces.

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Why is it important?

The importance of our definitions is that it is easy to handle, it is cocycle like but in general metric spaces extending the existing one in Riemannian manifolds.

Perspectives

Study of expansive systems via the new Lyapunov exponents carrying the existing theory in Riemannian manifolds to the full generality of metric spaces.

C.A. Morales
Universidade Federal do Rio de Janeiro

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This page is a summary of: LYAPUNOV EXPONENTS ON METRIC SPACES, Bulletin of the Australian Mathematical Society, October 2017, Cambridge University Press,
DOI: 10.1017/s0004972717000703.
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