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Titlebook: Seminaire de Probabilites XXII; Jacques Azéma,Marc Yor,Paul André Meyer Book 1988 Springer-Verlag GmbH Germany, part of Springer Nature 19

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The statistical equilibrium of an isotropic stochastic flow with negative lyapounov exponents is trgeneous and isotropic, and if either the covariance is smooth and the top Lyapounov exponent is strictly negative, or if the flow is “of coalescing type” (these phenomena can only occur when d≤3), then ..=0 a.s.
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The statistical equilibrium of an isotropic stochastic flow with negative lyapounov exponents is tr with ..=m, which converges almost surely to a random measure ℝ., called the statistical equilibrium. We prove here that if the flow is spatially homogeneous and isotropic, and if either the covariance is smooth and the top Lyapounov exponent is strictly negative, or if the flow is “of coalescing ty
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P. McGill,B. Rajeev,B. V. Raotain approximation sequences in the strong operator topology. The basic observations in this chapter are four theorems (Lemma 2.1, Theorem 2.5, Proposition 2.17, Theorem 2.7) whose proofs are unfortunately rather technical and not very instructive. For that reason we have separated these proofs from
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Jacques Azéma,Marc Yor,Paul André Meyerts established researchers by organizing and presenting the profusion of advanced material disseminated in the literature. Most chapters are accompanied by exercises, many of which are solved explicitly.".978-3-319-70705-1978-3-319-70706-8Series ISSN 2038-5714 Series E-ISSN 2532-3318
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