Invariant or quasi-invariant probability measures for infinite dimensional groups
Part I: Non-ergodicity of Euler hydrodynamic
Special Feature: The 3rd Takagi Lectures
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- Malliavin, P. Jpn. J. Math. (2008) 3: 1. doi:10.1007/s11537-008-0751-6
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Deterministic Euler flow on a torus cannot leave invariant any probability measure.
To the Japanese Mathematical Community, with my admiration and my warmest friendship.
Keywords and phrasesgroup of diffeomorphisms Malliavin calculus random unitary operator existence of Euler flow
Mathematics subject classification (2000)37K65 60H07 60H25 76B03
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