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Integral representation of Lyapunov exponents

math.DS · 2026-04-15 · unverdicted · novelty 7.0

A new operator-theoretic variational principle represents growth rates of subadditive processes as suprema of integrals over ergodic lifts, extending Lyapunov exponent formulas and showing state-only dependence for pointwise exponents under place-dependent Markov noise.

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  • Integral representation of Lyapunov exponents math.DS · 2026-04-15 · unverdicted · none · ref 7

    A new operator-theoretic variational principle represents growth rates of subadditive processes as suprema of integrals over ergodic lifts, extending Lyapunov exponent formulas and showing state-only dependence for pointwise exponents under place-dependent Markov noise.