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Stochastic Differential and Difference Equations pp 35–41Cite as

Birkhäuser

Invariant Measure for a Wave Equation on a Riemannian Manifold

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Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 23))

Abstract

We consider a wave equation on a compact Riemannian manifold in the Hamiltonian form. The measure obtained as the product of Wiener measure on path space and the one of the (flat) white noise is infinitesimally invariant under the action of the corresponding flow.

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Authors and Affiliations

  1. Grupo de Física-Matemática, Univ. de Lisboa, Av. Prof Gama Pinto 2, 1699, Lisboa Codex, Portugal

    A. B. Cruzeiro

  2. Institute of Theoretical Physics, University of Wroclaw, Poland

    Z. Haba

Authors
  1. A. B. Cruzeiro
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  2. Z. Haba
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© 1997 Springer Science+Business Media New York

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Cruzeiro, A.B., Haba, Z. (1997). Invariant Measure for a Wave Equation on a Riemannian Manifold. In: Stochastic Differential and Difference Equations. Progress in Systems and Control Theory, vol 23. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1980-4_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1980-4_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7365-3

  • Online ISBN: 978-1-4612-1980-4

  • eBook Packages: Springer Book Archive

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