Lyapunov exponents and Hodge theory

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dc.creatorKontsevich, M.
dc.creatorZorich, A.
dc.date1997-01-28
dc.date.accessioned2026-07-07T09:14:36Z
dc.date.available2026-07-07T09:14:36Z
dc.descriptionWe 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.
dc.description16 pages, Latex, extended version of the talk by one of us (M.K.) at the conference "Mathematical Beauty of Physics", Saclay, June 1996, dedicated to the memory of C.Itzykson
dc.identifierhttps://arxiv.org/abs/hep-th/9701164
dc.identifierhttp://arxiv.org/abs/hep-th/9701164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152731
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.titleLyapunov exponents and Hodge theory
dc.typetext

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