Special Feature: The 3rd Takagi Lectures

Japanese Journal of Mathematics

, Volume 3, Issue 1, pp 1-17

First online:

Invariant or quasi-invariant probability measures for infinite dimensional groups

Part I: Non-ergodicity of Euler hydrodynamic

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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 phrases

group of diffeomorphisms Malliavin calculus random unitary operator existence of Euler flow

Mathematics subject classification (2000)

37K65 60H07 60H25 76B03