Invariant or quasi-invariant probability measures for infinite dimensional groups
Part I: Non-ergodicity of Euler hydrodynamic
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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 diffeomorphismsMalliavin calculusrandom unitary operatorexistence of Euler flow
Mathematics subject classification (2000)37K6560H0760H2576B03
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