LYAPUNOV EXPONENTS AND HODGE THEORY

We started from computer experiments with simple one-dimensional ergodic dynamical systems called interval exchange transformations. Correlators in these systems decay as a power of time. In the simplest non-trivial case the exponent is equal to 1/3. We found a formula connecting characteristic exponents with explicit integrals over moduli spaces of algebraic curves with additional structures. Moreover, these integrals can be interpreted as correlators in a topological string theory. Also a new analogy arose between ergodic theory and complex algebraic geometry.

• Publication year

  1997

• Venue

  arXiv: High Energy Physics - Theory

• Publication date

  1997-01-28

• Fields of study

  Mathematics, Physics

• Identifiers
  arXiv hep-th/9701164
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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