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Limit theorem for a differential equation with a long-range random coefficient

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Publication:1426571
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DOI10.1016/j.crma.2003.11.010zbMath1038.60033OpenAlexW2077609508MaRDI QIDQ1426571

Renaud Marty

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.11.010


zbMATH Keywords

fractional Brownian motion


Mathematics Subject Classification ID

Gaussian processes (60G15) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)


Related Items (3)

Paraxial Wave Propagation in Random Media with Long-Range Correlations ⋮ Heavy Traffic Approximations of a Queue with Varying Service Rates and General Arrivals ⋮ Asymptotic behavior of differential equations driven by periodic and random processes with slowly decaying correlations



Cites Work

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  • Differential equations driven by rough signals
  • Stochastic analysis, rough path analysis and fractional Brownian motions.
  • Lévy area of Wiener processes in Banach spaces
  • Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young


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