, Volume 3, Issue 1, pp 1-17

Invariant or quasi-invariant probability measures for infinite dimensional groups

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Abstract

Deterministic Euler flow on a torus cannot leave invariant any probability measure.

To the Japanese Mathematical Community, with my admiration and my warmest friendship.

Communicated by: Toshiyuki Kobayashi
This article is based on the 3rd Takagi Lectures that the author delivered at Graduate School of Mathematical Sciences, the University of Tokyo on November 23, 2007.