2 problems
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Zorich's simplicity conjecture for the Lyapunov spectrum
Let be the Lyapunov exponents of the Rauzy–Veech cocycle, ordered so that … A complete Lagrangian flag is a nested sequence of Lagrangian subspaces whose…
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Zorich's conjecture on positivity of the smallest Rauzy–Veech exponent
Let be the Lyapunov exponents of the Rauzy–Veech cocycle. The asymptotic deviation theorem uses these exponents to determine the dimensions of th…