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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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Japanese Journal of Mathematics Aims and scope

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.

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    Paul Malliavin

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  1. Paul Malliavin
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Correspondence to Paul Malliavin.

Additional information

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.

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Malliavin, P. Invariant or quasi-invariant probability measures for infinite dimensional groups. Jpn. J. Math. 3, 1–17 (2008). https://doi.org/10.1007/s11537-008-0751-6

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  • DOI: https://doi.org/10.1007/s11537-008-0751-6

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